Answer:
x=-12 and -3
Step-by-step explanation:
The quadratic formula is
[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex].
It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions. We will substitute a=1, b=15 and c=36.
[tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}\\x=\frac{-15+/-\sqrt{(15)^2-4(1)(36)} }{2(1)}\\x=\frac{-15+/-\sqrt{225-144} }{2}[/tex]
We will now simplify and solve.
[tex]x=\frac{-15+/-\sqrt{81}}{2}\\x=\frac{-15+/-9}{2}[/tex]
x=-12 and x=-3
Eduardo piensa en un número entre 1 y 20 que tiene exactamente 5 factores. ¿En qué número está pensando?
Answer:
Hola,
1, 2, 4, 5, 10, 20
Step-by-step explanation:
How do you simplify that?
Hey there!
You could solve those equations many ways but, here's a more "Easier way" to solve that
[tex]3^3[/tex]= [tex]3(3)(3)[/tex][tex]3(3) = 9,right?[/tex][tex]9(3) = 27,right?[/tex]Therefore: [tex]\boxed{Answer: 27}[/tex]Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
what is a number that is less that -2 4/5 and greater that -3 1/5?
Answer:
-3
Step-by-step explanation:
hm this is a little tricky!
so on a number line, -3 will be behind -2 because it is less than the two since it is negative. If we have 4/5 and 1/5 we will need to think what comes between them.
5/5 and 0/5
which means that -3 comes between them both
First and foremost, notice that because the two integers are negative, [tex]- 2\frac{4}{5}[/tex] is greater than the other number [tex]-3 \frac{1}{5}[/tex] . As just a result, a number less than [tex]- 2\frac{4}{5}= -\frac{14}{5}[/tex] and greater than [tex]- 3 \frac{1}{5}= -\frac{16}{5}[/tex] means a value between such two integers.
There could be an infinite amount of integers between any two such values. If we have two numbers a and b, then an integer [tex]\frac{ma+nb}{m + n}[/tex] where m and n are any two positive numbers exists between a and b, then we'll have a unlimited number of such number by picking a variety of m and n.Let us choose, [tex]m = 1 \ \ and\ \ n = 1[/tex] this number is [tex]\frac{a+b}{2}.[/tex] That's what we [tex]a= -\frac{14}{5}\ \ and\ \ b = -\frac{16}{5}[/tex] currently possess[tex]= \frac{-\frac{14}{5} -\frac{16}{5}}{2} =-\frac{30}{5} \times \frac{1}{2} = -\frac{15}{5}=-3[/tex] . Since [tex]\frac{ma+nb}{m + n}[/tex] all numbers m, n, a, and b are rational numbers, [tex]\frac{ma+nb}{m + n}[/tex] would only return rational numbers between a and b. In reality, there might be infinite irrational numbers between a and b which is [tex](a^m. b^n)^{\frac{1}{m+n}}[/tex].Learn more:
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5. Grayson a green number cube and a white number cube. the faces of the cubes are number 1 through 6. Graysen roll each cube one time. What is the probability that the green cube will land with an even number face up and the white cube will land with a number greater than 2 face up?
A.1/9
B.1/36
C.1/3
D.1/6
Answer: P(G even and W>2) = 1/3 or 0.333 or 33.3%
Step-by-step explanation:
Independent events multiply probabilities,
P(G even)=1/2, P(W>2)=2/3, P(G even and W>2)= 1/2 × 2/3 = 1/3.
Without using definition of "independent events", or rules referring to them, I use sample space S of 36 points, and P(event) = #(event)/#(sample space).
Points are labeled with two digits, left is green die, right is white die. S = {11,12,13,14,15,16,21,...26,...,61,...,66}, and #(S)=36.
An event E is a subset of S, and
0 <= #(E) <= #(S) = 36.
Event G even is GE={21,22,23...,41,42,...,61,...,66},
#(G even)=18
Event "W>2" = W2 ={13,14,15,16,23,24...,63,64,65,66},
#(W>2)=24.
Event G even and W>2 GEW2={23,24,25,26,43,44,45,46,63,64,65,66),
#(GEW2)=12
P(GEW2)=#(GEW2)/#(S)=12/36=1/3=33.3%
To find the probability of the green cube landing with an even number face up and the white cube landing with a number greater than 2 face up, multiply the probabilities of each event happening. The probability is 1/3.
Explanation:To find the probability that the green cube will land with an even number face up and the white cube will land with a number greater than 2 face up, we need to determine the number of favorable outcomes and the total number of possible outcomes.
The green cube has 3 even numbers (2, 4, and 6) out of 6 faces, so the probability of the green cube landing with an even number face up is 3/6 or 1/2.
The white cube has 4 numbers greater than 2 (3, 4, 5, and 6) out of 6 faces, so the probability of the white cube landing with a number greater than 2 face up is 4/6 or 2/3.
To find the probability of both events happening, we multiply the probabilities: (1/2) * (2/3) = 1/3.
Therefore, the probability that the green cube will land with an even number face up and the white cube will land with a number greater than 2 face up is 1/3. Option C, 1/3, is the correct answer.
A study revealed that most orchards that used a new fertilizer harvested peaches with multiple pits. However, orchards that did not use the new fertilizer did not harvest any peaches with multiple pits.
The most reasonable conclusion that can be made from the study is that the new fertilizer ___________
1. is associated with the growth of peaches with multiple pits but does not cause it
2.is not related to the growth of peaches with multiple pits
3.causes the growth of peaches with multiple pits
4.prevents the growth of peaches with multiple pits
Answer:
causes the growth of peaches with multiple pits
Step-by-step explanation:
I got a 100% on the test :)
Option 3 "causes the growth of peaches with multiple pits" is the correct answer.
What is a survey?A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.
We have:
A study revealed that most orchards that used a new fertilizer harvested peaches with multiple pits.
In this study the cases are as follows:
Case 1: Adding fertilizer
The end result is that peaches are plucked while still full of pits.
Case 2: Leaving out fertilizer
As a result, no peaches are picked up with multiple pits.
Thus, option 3 "causes the growth of peaches with multiple pits" is the correct answer.
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list the integers that satisfy both these inequalities.
2x + 9 < 0
x > -12
put the answers on one line.
Answer: -12 < x < [tex]-\frac{9}{2}[/tex]
Step-by-step explanation:
2x + 9 < 0 and x > -12
2x < -9
x < [tex]-\frac{9}{2}[/tex]
Since it is an "and" statement, x is between -12 and [tex]-\frac{9}{2}[/tex], so -12 < x < [tex]-\frac{9}{2}[/tex]
Graph: -12 o-----------------o [tex]-\frac{9}{2}[/tex]
Interval Notation: (-12, [tex]-\frac{9}{2}[/tex])
The integers that satisfy the inequalities 2x + 9 < 0 and x > -12 are -11, -10, -9, -8, -7, -6, and -5.
To find integers that satisfy both inequalities 2x + 9 < 0 and x > -12, we first solve each inequality separately.
For the inequality 2x + 9 < 0, we subtract 9 from each side to get 2x < -9. Then we divide each side by 2 to find x < -4.5. Since we are looking for integers, x must be less than or equal to -5.
For the inequality x > -12, since x must be greater than -12 and is an integer, the least integer x can be is -11.
Putting these together, the integers that satisfy both inequalities are the set of all integers from -11 through -5. Therefore, we list the integers on one line as: -11, -10, -9, -8, -7, -6, -5.
You can walk 1 3/4 miles in 1/2 hour. What’s your average speed?
Answer:
avg speed is 3.5 miles per hour
Step-by-step explanation:
1.75 x 2 = 3.5 miles per hour
Answer:
3 and 1/2
Step-by-step explanation:
hope this helps
solve for d if :s=d/c/6
I can't help you out my brother It's too hard
Answer: d=sc/6. that's what i got.
Step-by-step explanation:
PLEASE HELP THIS IS VERY URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
I would have to that it would be about 9 miles because is you go up from oceanfront the it is 9 but if you going sideways it is more then 10. I am so sorry if i get this wrong. Good luck
Why is the result of converting 1500 yards into miles? Remember that 1 mile =1760 yards
Answer:
x = 75/88 miles
or
x = 0.85227 (27 repeated) miles
Step-by-step explanation:
1 mile =1760 yards
x miles = 1500 yards
x = 1500 / 1760
x = 75/88
or
x = 0.85227 (27 repeated)
Answer:
1500 yards=0.85 miles
Step-by-step explanation:
we are given
1500 yards
we have to convert it into miles
we are also given
1 mile=1760 yards
hence
1 yard=1/1760 mile
and
1500 yards=1500/1760 miles
1500 yards=0.85 miles
The points are (-2,4) and (6,-1)
Answer: the slope is -5/8 so the mid point would be 2,1.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
You are half way there when you record the endpoints from the graph correctly. Nice work.
The midpoint is found by this formula
(x_mid,y_mid) = (x1 + x2)/2 , (y1 + y2)/2
Givens
x1 = -2x2 = 6y1 = 4y2 = -1Solution
(x_mid,y_mid) = (-2 + 6)/2, (4 + - 1)/2
(x_mid,y_mid) = (2, 1.5) Answer
Graph
What is the apparent solution to the system of equations? y=−x+2y=4x+7 Graph the system of equations using the Line tool. Plot a point at the apparent solution to the system using the Point tool
Answer:
Given the system of equation:
[tex]y = -x + 2[/tex] and
[tex]y =4x+7[/tex]
Table for the equation [tex]y = -x + 2[/tex] ;
x y
-1 -3
0 2
1 1
2 0
Then, the points for this equations are: (-1, -3), (0, 2) , (1, 1 ) and (2, 0)
Also, table for the equation: [tex]y =4x+7[/tex]
x y
-1.75 0
-1 3
0 7
1 11
Then, the points for this equations are: (-1.75, 0) , (-1, 3) , (0, 7) and ( 1, 11)
Using Point tool , we plot these points of the given system of equation on the Cartesian plane.
You can see the graph as shown below in the attachment.
Also, the two lines intersects at (-1, 3)
Therefore, the apparent solution for the given system of equation is; (-1, 3)
Final answer:
To find the apparent solution to the system of equations, you need to solve the equations simultaneously. The apparent solution to the given system of equations is (-1, 3).
Explanation:
To find the apparent solution to the system of equations, we need to solve the equations simultaneously. The given equations are:
y = -x + 2
y = 4x + 7
We can solve these equations by setting them equal to each other:
-x + 2 = 4x + 7
Now, we can solve for x:
-x - 4x = 7 - 2
-5x = 5
x = -1
Substituting this value of x back into either of the original equations, we can find the corresponding value of y:
y = -(-1) + 2
y = 3
Therefore, the apparent solution to the system of equations is (-1, 3).
really confused and am on final attempt!
Answer:
C
Step-by-step explanation:
the legs of a 30-60-90 triangle are 1 and [tex]\sqrt{3}[/tex], while the hypotenuse is 2.
the ratio of the legs is therefore 1 : [tex]\sqrt{3}[/tex] → C
a survey was taken of children between the ages 7 and 12. let A be the event that the person rides the bus to school, and let B be the event that the person has 3 or more siblings.
Answer:
The statement is true about whether A and B are independent eventa is fourth option:
A and B are not independent events because P(A/B)=0.375 and P(A)=0.25
Step-by-step explanation:
Let A be the event that the person rides the bus to school, then:
P(A)=75/300
P(A)=0.25
Let B be the event that the person has 3 or more siblings, then:
P(B)=24/300
P(B)=0.25
P(A/B)=9/24
P(A/B)=0.375
Like P(A/B)=0.375 is different to P(A)=0.25 the events are not independent
Answer. Fourth option:
A and B are not independent events because P(A/B)=0.375 and P(A)=0.25
Answer: D is the answer
Step-by-step explanation:
The admission fee at a county fair is $2 for children and $4 dollars for adults. Suppose that on the last day, 1600 people enter the fair and $5000 is collected. Choose the two equations that can be solved as a system of equations to determine how many children and how many adults attended the fair.
1.) a-c=1600
2.) 4a+2c=5000
3.) 4a-2c=5000
4.) a+c=1600
Answer:
2500 children and 625 adults could have attended on this day.
Step-by-step explanation:
5000 divided by 2 is 2500, so 5000 - 2500 = 2500
2500 divided by 4 is 625.
--Emilie Xx
The two equation which are required to know the number of children and student attended the fair are a+c=1600 and 4a+2c=5000. Option 2 and 4 are correct.
What is a system of equation?A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Let c is the number of children attended the fair and a is the number of adults attended the fair. The total number of people attended the fair is 1600. Thus,
a+c=1600
The fee of admission at a county fair is $2 for children and $4 dollars for adults and total $5000 is collected. Thus,
4a+2c=5000
Hence, the two equation which are required to know the number of children and student attended the fair are a+c=1600 and 4a+2c=5000. Option 2 and 4 are correct.
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What additional information can be used to prove ΔVUW ≅ ΔYXZ by SAS? A) WU ≅ ZX B) WU ≅ ZY C) XZ ≅ VU D) XY ≅ VU
Answer:
Step-by-step explanation:
A
and
D
Answer:
A) WU and ZX
Step-by-step explanation:
You purchase a $220 airline ticket. You have a discount code to receive 10% off. There is a 10.5% service charge added to the total. How much do you pay for your ticket?
The only three options for answers are $231, $218.79, and $198
Twenty-five subtracted from one-half a number is 10.What is the number?
Answer:
70
Step-by-step explanation:
The simplest way to find the number is work backwards. If you know the final answer is 10, start with 10 and make the number x. Then set up the original equation.
0.5x-25=10
Then start working backwards(isolate).
0.5x-25=10
+25 +25
in other words, 10+25=0.5x. (the 25 cancels out because -25+25=0)
10+25=35, so 35=0.5x.
Now, instead of dividing by 2, multiply by 2(opposite again).
35=0.5x
/0.5(aka *2) /0.5(cancels out)
now you are left with 70=x, so the number is 70.
how do you graph the linear equation y=9.5X
To graph the linear equation y= 9.5X, plot the y-intercept at point (0,0) due to the absence of +b. From there, move 1 unit to the right and 9.5 units up and place another point and do it several more times. Connect the points to form the line.
Explanation:To graph the linear equation y=9.5X, you need to understand that this is an equation of a line in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is 9.5 and the y-intercept is 0 (since there is no +b following the 9.5).
Start by marking the y-intercept, which is at point (0,0), on your graph. The slope of 9.5 means that for every 1 unit you move to the right along the x-axis, you move up 9.5 units on the y-axis. So, from the y-intercept, you'd go over 1 and up 9.5, placing a point there. Do this several more times, then connect the points to form your line.
This line represents all solutions to the equation y=9.5X, meaning any point on the line satisfies the equation.
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Final answer:
To graph y=9.5X, plot the y-intercept at (0,0), then use the slope to find another point by moving right 1 unit and up 9.5 units, plot this point, and draw a line through both points.
Explanation:
To graph the linear equation y=9.5X, you start by identifying the slope and y-intercept. In this case, the equation is already in the slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept. Since there's no plus or minus a number after 9.5X, the y-intercept is 0. The slope is 9.5, meaning for every increase of 1 unit in X, y increases by 9.5 units.
To graph this, you first plot the y-intercept at (0,0) on the vertical axis. Then, use the slope to find another point. From the y-intercept, move right 1 unit along the horizontal axis (increasing X by 1), and then move up 9.5 units on the vertical axis (increasing y by 9.5). Plot this second point. Finally, draw a straight line through both points, extending it in both directions. This line represents the equation y=9.5X.
12. A pack of cinnamon-scented pencils sells for $4.00. What is the sales tax rate if the total cost of the pencils is $4.32?
13. How can you solve problems involving percents?
Answer:
12) tax rate is 8%
13) convert percent to decimal format
Step-by-step explanation:
12) 4.32/4.00 = 1.08
1.08 - 1 = 0.08
0.08 * 100 = 8%
13) Convert all % to decimal format.
Do this by dividing the percent by 100
e.g. 10% = 10/100 = 0.10
Azul orders 5 veggie pizzas for his birthday party.he orders enoghe for every one to eat 5/6 of the pizza hpw many people can he feed
Answer:
He can feed 5 people
Step-by-step explanation:
divide pizzas in the number of people to how much people will eat.
divide 5 by invisible number, x. getting the answer of 5/6
x=6
Answer:6
Step-by-step explanation:
Stuck at this question I need in 5 mins! Need it ASAP
Answer:
64 plants/32 seed packets =
2 plants/seed packet
90 plants ÷ 2 plants/seed packet =
45 seed packets
Add 4 yards 2 feet 8 inches, 3 feet 11 inches and 6 yards 6 feet and 6 inches
The sum of 4 yards 2 feet 8 inches, 3 feet 11 inches and 6 yards 6 feet and 6 inches is 11 yards and 1 foot or 11 1/3 yards and 7 inches, using standard conversions between inches, feet, and yards.
Explanation:To solve this problem, we first need to recall the relationships between inches, feet, and yards. There are 12 inches in a foot, and 3 feet in a yard.
Starting with the yards, you have 4 yards plus 6 yards giving you a total of 10 yards. Moving on to feet, you have 2 feet from the first measurement, and 6 feet from the third measurement. Also, remember to convert the 3 feet in the second measurement into 1 yard and add it to your yards total, which makes 11 yards and leaves you with no feet. For inches, add 8 inches from the first measurement and 11 inches from the second measurement for a total of 19 inches.
Then, convert these measurements to the highest unit possible. Your 19 inches equals 1 foot and 7 inches. Add this foot to your feet total and you have 1 feet and 11 yards. Finally, convert feet to yards: 1 foot is 1/3 of a yard, so you finish with a total of 11 1/3 yards and 7 inches.
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Area of a rectangle is 540 sq m. If the length was reduced by 5m and the width was increased by 5m, the are of the rectangle will be increased 35 sq m. Calculate the length and the width of the first rectangle
[tex]l-length\\w-width\\\\\text{The formula of an area of a rectangle:}\ V=lw\\\\\text{We have the area}\ 540\ m^2\to lw=540\\\\\text{New rectangle}\\\\l-5-length\\w+5-width\\\\\text{We have the area}\ 540\ m^2+35\ m^2=575\ m^2\to (l-5)(w+5)=575\\\\\text{Therefore we have the system of equation:}\\\\\left\{\begin{array}{ccc}lw=540&\to w=\dfrac{540}{l}&(*)\\(l-5)(w+5)=575&&(**)\end{array}\right\\\\\text{Substitute}\ (*)\ \text{to}\ (**)[/tex]
[tex](l-5)\left(\dfrac{540}{l}+5\right)=575\qquad\text{use distributive property}\\\\(l)\left(\dfrac{540}{l}\right)+(5)(l)-(5)\left(\dfrac{540}{l}\right)-(5)(5)=575\\\\540+5l-\dfrac{2700}{l}-25=575\\\\515+5l-\dfrac{2700}{l}=575\qquad\text{subtract 575 from both sides}\\\\-60+5l-\dfrac{2700}{l}=0\qquad\text{multiply both sides by }\ l\neq0\\\\-60l+5l^2-2700=0\\\\5l^2-60l-2700=0\qquad\text{divide both sides by 5}\\\\l^2-12l-540=0\\\\l^2+30l-18l-540=0\\\\l(l+30)-18(l+30)=0\\\\(l+30)(l-18)=0\iff l+30=0\ \vee\ l-18=0\\\\l=-30<0\ \vee\ \boxed{l=18\ cm}[/tex]
[tex]\text{Substitute the value of}\ l\ \text{to}\ (*):\\\\w=\dfrac{540}{18}\\\\\boxed{w=30\ cm}[/tex]
[tex]Answer:\ \boxed{length=18\ cm,\ width=30\ cm}[/tex]
The original dimensions of the rectangle are 30 meters in length and 18 meters in width.
We need to find the dimensions of the original rectangle given an area of 540 sq m and the changes in area after altering the dimensions. Let's represent the length of the rectangle as L meters and the width as W meters.
From the information provided:
Original Area: L * W = 540
New Area: (L - 5) * (W + 5) = 540 + 35
By solving these equations step-by-step:
L * W = 540
(L - 5)(W + 5) = 575
LW + 5L - 5W - 25 = 575
LW - 5(W - L) - 25 = 575
Substitute the original area (LW = 540):
540 - 5(W - L) - 25 = 575
-5(W - L) = 60
W - L = -12
Now we have two simultaneous equations:
L * W = 540
W - L = -12
We can solve these equations for L and W.
Solving the system of equations, we get:
L = 30 meters
W = 18 meters
Therefore, the original dimensions of the rectangle are 30 meters in length and 18 meters in width.
Look at the figure shown below: A triangle RPQ is shown. S is a point on side PQ and T is a point on side PR. Points S and T are joined using a straight line. The length of PS is equal to 3x, the length of SQ is equal to 24, the length of PT is equal to 51 and the length of TR is equal to 34. Dora is writing statements as shown below to prove that if segment ST is parallel to segment RQ, then x = 12: Statement Reason 1. Segment ST is parallel to segment QR Given 2. Angle QRT is congruent to angle STP Corresponding angles formed by parallel lines and their transversal are congruent. 3. Angle SPT is congruent to angle QPR Reflexive property of angles. 4. Triangle SPT is similar to triangle QPR Angle-Angle Similarity Postulate 5. ? Corresponding sides of similar triangles are in proportion. Which equation can she use as statement 5? (3x + 24):3x = 85:51 (3x + 24):85 = 3x:51 (3x + 24):51 = 3x:85 34:24 = 3x:51
Answer:
(A)
Step-by-step explanation:
The Postulate states that corresponding sides of similar triangles are in proportion.
We know that similar triangles are the triangle which have congruent triangles and and the corresponding sides are in proportion
Now in ΔSTP and ΔRPQ, corresponding sides are : (RP,TP); (RQ,TS) ; (PQ,PS)
So we have RP:TP = PQ:PS
TP= 51; RP= 85; PS = 3x; PQ = 3x+24
PQ : PS = RP : TP
3x+24 : 3x = 85 : 51
Hence 5 statement represents (A) equation
Answer: A) (3x + 24):3x = 85:51
A rectangular school banner has a length of 40 inches and a width of 24 inches. A sign is made that is similar to the school banner and has a length of 18 inches. What is the ratio of the area of the school banner to the area of the sign?
The area of the school banner is approximately 5 times larger than the sign. Area was calculated by multiplying length by width for each, then the ratio was found by dividing the banner area by the sign area.
Explanation:The subject of this question is mathematics, mostly involving geometrical comparison and proportions between squares. First, you would need to calculate the area of both the banner and the sign. The area of a rectangle is calculated by multiplying its length by its width, so the areas would be 40 inches x 24 inches = 960 square inches for the banner and, the sign would have similar proportions, so width = 18 inches x (24/40) = 10.8 inches, so the area of the sign would be 18 inches x 10.8 inches = 194.4 square inches. Finally, the ratio of the area of the school banner to the area of the sign would be 960/194.4 = 4.94 (approximately). This means the banner is about 5 times larger than the sign.
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Mrs. Nelson is buying folding chairs that are on sale for $10. if she has $50, which inequality can be solved to show the number of chairs c she can buy?
A.) 10c≤50
B.) 10c≥50
C.) 10c>50
D.) 10c<50
Answer:
A.) 10c≤50
Step-by-step explanation:
This inequality shows less than or equal to 10 chairs can be bought with $50
Answer: A.) 10c≤50
Step-by-step explanation:
Hi, to answer this question we have to write an inequality using the information given:
Mrs. Nelson is buying folding chairs that are on sale for $10.So, if the number of chairs is "c", we can multiply "c" by $10 to obtain the cost of buying "c" number of chairs.
She only has $50, so, the cost of the chairs must be less or equal to 50.
Mathematically speaking:
10c≤50 (option A)
Feel free to ask for more if needed or if you did not understand something.
Jin spent 32 hours on math and language arts homework last month. She spent about 30% of this total time on math. About how many hours were spent on math?
Answer: 9.6
Step-by-step explanation: A percent is like a decimal so 15% would be 0.15 so if you use that for this you must multiply 32 hours by the 30%/0.30 to find the answer
PLS HELP ME NOW!! 55 POINTS!
Answer:
x=56
The exterior angle is 116
Step-by-step explanation:
The three angles of a triangle add to 180 degrees.
Lets call the unknown angle in the triangle y
y ,2x+4 make a straight line so they are supplementary. That means they add together to make 180 degrees
y + 2x+4=180
Lets solve for y by subtracting 2x+4 from each side
y + 2x+4 - (2x+4) = 180 - (2x+4)
y = 180 -2x-4
y = 176 -2x
The three angles x , 60 and y add together to make 180 degrees.
x + 60 + y = 180
Substituting in for y
x + 60 + 176 -2x = 180
Combine like terms
-x + 236 = 180
Subtract 236 from each side
-x+236-236 = 180-236
-x = -56
Divide by -1
x = 56
The exterior angle is 2x+4
2(56) +4
112+4
116
Answer: 1) x=56
2) value of the exterior angle: 116
Step-by-step explanation:
1. to solve for x, set up the equation that equals to the exterior angle
60 + x = 2x + 4
-x + 60 = 4
-x = -56
x = 56
2. now insert x (56) to the exterior angle expression
2 (56) + 4
112 + 4
116 degrees
Which models can be used to solve the problem
Answer:
The answer is C. 0.60b + 0.30w = 150; 60 + 0.30w = 150
Step-by-step explanation: