Answer:
Step-by-step explanation: The answer is D- Substitution Property of Equality. I just did the test and it was right.
Answer:
C. Subtraction property of equality.
Step-by-step explanation:
Given AD= CF
And BC=DE
To prove that AB=EF
Proof:
1.Statement: AD=CF
Reason: Given in question.
2. Statement: AD= AB+BC+ CD, CF= CD+DE+EF
Reason: Segment addition property because AB,BC,and CD are the segments of AB and CD,DE and DE are segments of CF.
3. Statement: AB+BC+CD=CD+DE+EF
Reason: Transitive property of equality
Transitive property: If ab=bc and bc=ca
Then , ab=ca
4.Statement: AB+BC= DE+EF
Reason: By using subtraction property of equality.
5. Statement:BC=DE
Reason: Given in question.
6. Statement: AB=EF
Reason: when we put BC=DE . Then we get AB+DE=DE+EF. By using subtraction property of equality .
Hence proved .
Payton leaves to go on an 8585 minute bike ride at 3{:}27\text{ p.M.}3:27 p.M. Payton's family eats dinner at 5{:}45\text{ p.M.}5:45 p.M. How much time will Payton have between finishing her bike ride and eating dinner?
Answer:
53 minutes.
Step-by-step explanation:
We have been given that Payton leaves to go on an 85 minute bike ride at 3:27 pm.
Let us find when Payton will finish biking by 85 minutes after 3:27 pm.
Since 85 minutes equals to 1 hour and 25 minutes. 1 hour after 3:27 pm will be 4:27 pm. Now let us add 25 minutes to 4:27 pm.
So Payton will finish biking at 4:(27+25) pm= 4:52 pm.
Payton's family eats dinner at 5:45 pm. Now let us find remaining time between dinner and 4:52 pm.
[tex]\text{Minutes between dinner and finishing bike ride}=5:45 pm- 4:52 pm[/tex]
[tex]\text{Minutes between dinner and finishing bike ride}=53[/tex]
Therefore, Payton have 53 minutes between finishing her bike ride and eating dinner.
40 (pts)
show work and answer(not multiple choice)
Quadrilateral OPQR is inscribed inside a circle as shown below. What is the measure of angle Q? You must show all work and calculations to receive credit.
Circle N is shown with an inscribed quadrilateral labeled OPQR. O is labeled 2x degrees. P is labeled y degrees. Q is labeled 2x plus 4 degrees. R is labeled 3y plus 8 degrees.
Answer:
m<Q = 92 degrees
Step-by-step explanation:
Opposite angles of a quadrilateral inscribed in a circle are supplementary.
Angles O and Q are opposite angles, so they are supplementary, so their measures add up to 180 degrees.
m<O + m<Q = 180
2x + 2x + 4 = 180
4x + 4 = 180
4x = 176
x = 44
m<Q = 2x + 4 = 2(44) + 4 = 92
Answer:
Q =92
Step-by-step explanation:
Since the quadrilateral is inscribed in a circle, the opposite angles add to 180 degrees.
<O + <Q = 180
2x+ 2x+4 = 180
4x+4 =180
Subtract 4 from each side
4x= 180-4
4x= 176
Divide by 4
x = 44
Q = 2x+4
Q = 2(44)+4
Q = 88+4
Q = 92
Please help! Urgent!
Triangle GHJ has the exterior angles shown below.
Answer options:
-2.7
-5.8
-12
-29
Exterior angles of triangles = 360°.
So by definition:
[tex]9x + 6 + 10x - 1 + 10x + 7 = 360\\29x + 12 = 360\\29x = 348\\x = 12[/tex]
The value of x is 12.
Answer: 12
Step-by-step explanation:
We know that the sum exterior angles of a polygons is [tex]360^{\circ}[/tex].
Therefore,according to the given picture , we have
[tex]\angle{GHJ}+\angle{HJG}+\angle{JGH}=360^{\circ}\\\\\Rightarrow\ (9x+6)^{\circ}+(10x-1)^{\circ}+(10x+7)^{\circ}=360\\\\\Rightarrow\ 9x+6+10x-1+10x+7=360\\\\\Rightarrow\ 29x+12=360\\\\\Rightarrow\ 29x=348\\\\\Rightarrow\ x=\dfrac{348}{29}\\\\\Rightarrow\ x =12[/tex]
Hence, the value of x = 12
PLEASE HELP ASAP 25 POINTS
Answer:
Your answer is B!
Step-by-step explanation:
What is the number in the * cell? 9 38 47 4 6 35 42 * 12 21 23 27?
The missing number can be found using Matrix rule. We have to apply addition and subtraction rule to find the missing number form given matrix.
The missing number is -5.
Given:
The given matrix is,
[tex]\left[\begin{array}{cccc}9&38&47&4\\6&35&42&x\\12&21&23&27\end{array}\right][/tex]
Let the missing number is [tex]x[/tex].
Apply the subtraction rule to subtract second row from first row.
[tex]\left[\begin{array}{cccc}9&38&47&4\\3&3&5&4-x\\12&21&23&27\end{array}\right][/tex]
The sum of first three number is equal to the sum of digits of the first three number in the third row,
[tex]1+2=3\\2+1=3\\2+3=5[/tex]
Now from the same pattern.
[tex]2+7=4-x\\x=-5[/tex]
Thus, the missing number is -5.
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A new truck that sells for 28,000 decreases in value 13% each year. What is the decay factor , b?
Name the property of real numbers illustrated by the equation.
-3(x+4)=-3x-12
A. Distributive Property
B. Associative Property of Addition
C. Associative Property of Multiplication
D. Commutative Property of Addition
Answer:
A. Distributive Property
Step-by-step explanation:
I'm taking the exam right now. :)
Two numbers such that the greater number is 75 percent more than the lesser number
If x = the first number (equal to 1x) then the second number is 75% more than this.
This means the value of the bigger number is 100 + 75 (because 100 is the starting number and 75 is the percent bigger)
This can be shown with the following equation:
Amount * [tex]\frac{percentage}{100}[/tex]
x * [tex]\frac{175}{100}[/tex] = 1.75x
1.75x is the value of the bigger number.
Four balls are placed in a bowl. one green, one black and two yellow. the bowl is shaken and someone draws two balls from the bowl. he looks at the balls and announces that at least one of them is yellow. what are the chances that the other drawn ball is yellow?
Answer:
1/5 chance
Step-by-step explanation:
well their are 4 balls and 2 chosen
their is 1/2 chance or pulling a yellow
1/4 chance of pulling a black and green
Y1 Y2,Y1 B,Y1 G,Y2 Y1,Y2 B,Y2 G,B Y1,B Y2,B G,G Y1,R Y2,G B
so their is a 1/5 chance of pulling it
Tank A has a capacity of 9.5 gallons. 6 1\3 gallons of the tank"s water are poured out. How many gallons of water are left in the tank
Answer: Since 1/3 can't be turned into a decimal, change .5 into 1/2. In order to subtract, the fractions need a common denominator. The least common denominator is 6. So 1/3 turns into 2/6, and 1/2 turns into 3/6. Now you need to take 9 3/6 minus 6 2/6. The answer is 3 1/6 gallons of water.
Step-by-step explanation:
Final answer:
To find the remaining water in Tank A after pouring out 6 1/3 gallons, subtract 6.333 from the tank's total capacity of 9.5 gallons, which leaves 3.167 gallons remaining in the tank.
Explanation:
The question involves determining the remaining quantity of water in a tank after a certain volume has been removed, which is a basic subtraction problem in mathematics. To solve it, subtract the volume of water that was poured out from the total capacity of the tank.
Tank A capacity: 9.5 gallons
Volume of water poured out: 6 1/3 gallons
To perform the subtraction, we first need to convert 1/3 of a gallon into a decimal. A third of a gallon is approximately 0.333 gallons. Adding this to 6 gallons gives us 6.333 gallons.
Now, subtract the volume poured out from the tank's capacity:
9.5 gallons (capacity) - 6.333 gallons (poured out) = 3.167 gallons (remaining in the tank)
Therefore, 3.167 gallons of water are left in the tank.
What is the remainder R when the polynomial p(x) is divided by (x + 1)? Is (x + 1) a factor of p(x)? p(x) = -3x4 + 2x3 - x2 + 6
Answer:
(x+1) is a factor with remainder 0.
Step-by-step explanation:
We divide (x+1) into the polynomial [tex]-3x^4+2x^3-x^2+6[/tex] through long division or synthetic. We choose long division and look for what will multiply with (x+1) to make the polynomial [tex]-3x^4+2x^3-x^2+6[/tex] .
[tex](x+1)(-3x^3)=-3x^4-3x^3[/tex]
We subtract this from the original [tex]-3x^4-(-3x^4)+2x^3-(-3x^3)-x^2+6[/tex].
This leaves [tex]5x^3-x^2+6[/tex]. We repeat the step above.
[tex](x+1)(5x^2)=5x^3+5x^2[/tex].
We subtract this from [tex]5x^3-(5x^3)-x^2-(5x^2)+6=-6x^2+6[/tex]. We repeat the step above.
[tex](x+1)(-6x)=-6x^2-6x[/tex].
We subtract this from [tex]-6x^2-(-6x^2)+0x-(-6x)+6=6x+6[/tex]. We repeat the step above.
[tex](x+1)(6)=-6x+1[/tex].
We subtract this from [tex]6x-(6x)+6-(6)=0[/tex]. There is no remainder. This means (x+1) is a factor.
Identify the values of the variables. Give your answers in simplest radical form. Help PLEASE!!
Answer:
x = 5 sqrt(6)/3
y= 10 sqrt(6)/3
Step-by-step explanation:
We know sin 60 = opposite/hypotenuse
sin 60 = 5 sqrt(2) /y
Multiply each side by y
y sin 60 = 5 sqrt(2)
Divide each side by sin 60
y sin 60/ sin 60 = 5 sqrt(2)/ sin 60
y = 5 sqrt(2) / sin 60
y = 5 sqrt(2) / sqrt(3) /2)
y = 10 sqrt(2)/ sqrt(3)
You cannot leave a sqrt in the denominator
y= 10 sqrt(2)/ sqrt(3) * sqrt(3)/sqrt(3)
y= 10 sqrt(6)/3
tan 60 = oppositve/ adjacent
tan 60 = 5 sqrt(2)/ x
Multiply each side by x
x tan 60 = 5 sqrt(2)
Divide by tan 60
x = 5 sqrt(2)/tan 60
x =5 sqrt(2)/sqrt(3)
You cannot leave a sqrt in the denominator
x = 5 sqrt(2)/sqrt(3) * sqrt(3)/sqrt(3)
x = 5 sqrt(6)/3
Richie the Racoon and his family are all going to a family reunion! At the reunion there is a grandmother, a grandfather, two mothers, two fathers, four children, three grandchildren, one brother, two sisters, two sons, two daughters, a mother-in-law, a father-in-law and a daughter-in-law. How many people came to Richie's family reunion?
Answer:
Seven
Step-by-step explanation:
We have the following list of people coming to the reunion,
A grandmother = 1
A grandfather = 2
Two mothers = 1 and 3
Two fathers = 2 and 4
i.e. Up until here there are total 4 people - Grandmother, Grandfather, Mother, Father ( 1, 2, 3, 4)
Four children = 4, 6, 7, 8
Three grandchildren = 6, 7, 8
One brother = 6
Two sisters = 7, 8
Two sons = 4, 6
Two daughters = 7, 8
Therefore, in addition to the four people above, one of the child will be the father and so there are 3 grandchildren.
So, number of people added in this step is 3 and total number of people up until here becomes 7.
A mother-in-law = 1
A father-in-law = 2
A daughter-in-law = 3
So, no new family member is added in this step.
Hence, total number of family members coming to reunion are 7 namely Grandmother, Grandfather, Mother, Father, Three children.
The table shows the input and output of a function Table(input:3,4,6,11. Output:5,7,11,21)
(a) Explain what makes this set of data a function.
(B) what could cause this set of data to not be a function? Provide a specific example to support your statement and explain throughly.
(c) write an equation, in function nation, that would fit in the inputs and outputs in the table. Show your work that proves your equation is true for the given data.
Answer:
(A)This set of data is a function because every input has an output.
(B) This set of data would not be a function if two inputs had the same output, for example, if the inputs were 3,4,4,11 and the outputs were 5,7,11,21 then the data set would not be a function because for input 4 it has two different outputs.
Step-by-step explanation:
Given a standard deck of playing cards, what is the probability of randomly selecting a card that is either red or a face card or both? (a standard deck of playing cards has 52 cards, divided equally between red cards and black cards. there are twelve face cards among these 52, which are also divided equally between red cards and black cards. no card may be both red and black.)
Answer: [tex]\bold{\dfrac{8}{13}}[/tex]
Step-by-step explanation:
Red or Face - duplicates (both red & face)
[tex]\dfrac{26}{52}[/tex] + [tex]\dfrac{12}{52}[/tex] - [tex]\dfrac{6}{52}[/tex]
= [tex]\dfrac{32}{52}[/tex]
= [tex]\dfrac{8}{13}[/tex] simplified
Final answer:
The probability of selecting a red or face card from a standard deck of cards is 8/13. This outcome is more likely than selecting a heart suit face card specifically, which has a probability of 3/52.
Explanation:
The problem can be solved by understanding that the deck has 26 red cards (hearts and diamonds) and 12 face cards (jacks, queens, and kings), with 6 face cards being red. The total number of unique choices that are either red cards or face cards is the number of red cards plus the number of black face cards. This avoids double-counting red face cards.
There are 26 red cards, but we need to exclude the 6 red face cards already counted, and add the 6 black face cards (from clubs and spades), giving us 26 + 6 = 32 unique cards that are either red or face cards. The probability, P, is then 32/52, which simplifies to 8/13.
To compare, the probability of drawing specifically a heart suit face card is 3/52 as there are only 3 face cards (jack, queen, and king) in the heart suit. Comparing probabilities, 8/13 is greater than 3/52, so it is more likely to draw a red or face card than a heart suit face card.
Average movie prices in the United States are, in general, lower than in other countries. It would cost $80.26 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $76.69. How much does an average movie ticket cost in each of these countries?
Answer: weclome
Step-by-step explanation:
Average movie ticket prices in the united states are, in general, lower than other countries. It would cost in $77.87 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $73.83. How much does an average movie ticket cost in each of these countries?
Let ticket in japan cost x
Let ticket in Switzerland cost y
3x+2y=77.87 ------1
3y+2x=73.83------2
Subtract the equations
x-y= 4.04 ---4
3y+2x=73.83------5
Answer:
Step-by-step explanation:
Average movie ticket prices in the united states are, in general, lower than other countries. It would cost in $77.87 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $73.83. How much does an average movie ticket cost in each of these countries?
Let ticket in japan cost x
Let ticket in Switzerland cost y
3x+2y=77.87 ------1
3y+2x=73.83------2
Subtract the equations
x-y= 4.04 ---4
3y+2x=73.83------5
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A stone is an Old English unit of weight and equal to 14 slug. How many kilograms are there in 6 stones? (1 slug = 14.59 kg) Answer in units of kg.
Answer:
1225.56 kg
Step-by-step explanation:
1 stone = 14 slugs
1 slug = 14.59 kg
[tex]\text{6 stones} ( \dfrac{14 slug}{1 stone})(\dfrac{14.59 kg}{1 slug})[/tex]
numerator 6 * 14 * 14.59 = 1225.56 kg
denominator = 1
Answer 1225.56 kg in 6 stones
Select all the names for a in the expression.
7ab+3
variable
expression
sum
constant
factor
coefficient
Answer:
It is a factor and a variable.
Step-by-step explanation:
Item 16 Evaluate 2x+6y when x=?45 and y=13. Write your answer as a fraction
Answer:
168
Step-by-step explanation:
2x45=90
6x13=78
78+90=168
Evaluate the expression described below if the variable given is 9. Two times the difference of one-third of a number and three. A. –9 B. –3 C. 0 D. 12
Answer:
Option C is correct.
The answer for the given expression is 0.
Step-by-step explanation:
Given the statement: Two times the difference of one-third of a number and three. and also variable given is 9.
Let x be the variable or number.
"One-third of a number" means [tex]\frac{1}{3}x[/tex]
Also, "difference of one third of a number and three " means [tex]\frac{1}{3}x-3[/tex]
Now, "Two times the difference of one-third of a number and three" means [tex]2 \times (\frac{1}{3} x -3)[/tex]
Then, the expression for the given statement : [tex]2 \times (\frac{1}{3} x -3)[/tex]
Substitute the value of x =9 in above expression we have;
[tex]2 \times (\frac{1}{3}(9) -3)[/tex] = [tex]2 \times (3 -3)[/tex] = [tex]2 \times (0)[/tex] = 0
therefore, the answer for the given expression is, 0
Taylor has $97.23 and her checking account she uses debit card to spend 29 .74 and then deposits 118.08 into her accounts what is Taylor's new balance
The swimsuit is on sale for 25% off its original price. If the original price was $58. What is the sale price?
Answer:
The sale price is $43.50.
Step-by-step explanation:
58 x .25 = 14.50 off the original price
58 - 14.50 = 43.50
Find the slope of the line passing through the points (-7,2) and (9,6)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (-7, 2) and (9, 6). Substitute:
[tex]m=\dfrac{6-2}{9-(-7)}=\dfrac{4}{16}=\dfrac{1}{4}[/tex]
Answer: The slope = 1/4The slope of the line passing through the points (-7,2) and (9,6) is 1/4.
Formula of slope
Point-slope formula
[tex]y-y_{1} = m(x-x_{1} )[/tex]
In the slope formula, m stands for slope which is calculated as the
[tex]$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$$[/tex]
= Δy/Δx
where, m = slope
[tex](x_1, y_1)=[/tex] coordinates of the first point in the line
[tex](x_2, y_2)=[/tex] coordinates of the second point in the line
We have the points (-7,2) and (9,6).
Substitute the values [tex]x_{1}}$$[/tex], [tex]{x_{2}[/tex] and [tex]y_{1}}[/tex], [tex]${y_{2}[/tex] in the above equation, we get
[tex]$m=\frac{6-2}{9-(-7)}[/tex]
[tex]$=\frac{4}{16}=\frac{1}{4}$[/tex]
Therefore, the slope m = 1 / 4.
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ok this is my question that my math tutor gave me to get the wifi password!!!
Answer:
The answer is π
Step-by-step explanation:
Not really an explanation, but you can type this in wolframalpha: integrate (x^3 cos x/2 + 1/2) sqrt(4-x^2) dx from x=-2 to 2
The given integral can be solved using numerical calculation methods. The integral by part formula also would be applicable in the given integral.
The value of the given integral is [tex]3.14\rm\: or\: \pi[/tex].
Given:
Write the given integral.
[tex]\int_{-2}^{2}\sqrt{4-x^2}\left(\cos\left(\dfrac{x}{2}\right)x^3+\dfrac{1}{2}\right)\\[/tex]
Write the formula for the integration by part formula.
[tex]\int u.v=u\int vdx-\int u'(\int vdx)dx[/tex]
Let,
[tex]u=\sqrt{4-x^2}[/tex]
[tex]v=\left (x^3\cos\dfrac{x}{2} +\dfrac{1}{2} \right)[/tex]
Now put the value in above formula and integrate.
[tex]\begin{aligned}\int_{-2}^{2}\sqrt{4-x^2}\left(\cos\left(\dfrac{x}{2}\right)x^3+\dfrac{1}{2}\right)&=\left [\dfrac{\frac{x\sqrt{4-x^2}}{2}+2\arcsin\left(\frac{x}{2}\right)}{2}\right]_{-2}^{2}\\&=\left [\dfrac{x\sqrt{4-x^2}}{4}+\arcsin\left(\dfrac{x}{2}\right)\right]_{-2}^{2}\\\end[/tex]
Now, further simplify the expression.
[tex]\int_{-2}^{2}\sqrt{4-x^2}\left(\cos\left(\dfrac{x}{2}\right)x^3+\dfrac{1}{2}\right)\\=\left [\dfrac{2\sqrt{4-2^2}}{4}+\arcsin\left(\dfrac{2}{2}\right)\right]-\left [\dfrac{2\sqrt{4-(-2)^2}}{4}+\arcsin\left(\dfrac{-2}{2}\right)\right]\\=1.57-(-1.57)\\=3.14[/tex]
The value of the given integral is [tex]3.14\rm\: or\: \pi[/tex].
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A rectangle roof is 756 sguare inches the length is 108 how many inches wide is the roof The doll house is 954 square inches the length of the roof is 106 inches what is the width of the roof
Answer:
1. 756 / 108 = 7 inches (the width of the first roof);
2. 954 / 106 = 9 inches (the width of the second roof);
Step-by-step explanation:
Points A and B are 200 mi apart. A cyclist started from point A and a motorcyclist started from point B, moving towards each other.The speed of the cyclist was 17 mph, the speed of motorcyclist was 83 mph. At what distance from point A will they meet?
Answer:
34 miles is the distance from point A will they meet.
Step-by-step explanation:
Proportion states that the two ratios or fractions are equal.
Given the statement:
Distance between point A and B (i.e AB) = 200 mi.
Let the cyclist speed be c, and motor- speed be m;
then;
c = 17 mph and m=83 mph
Let they meet at distance x miles from a point A.
By definition of proportion, we have;
[tex]\frac{x}{17} =\frac{200-x}{83}[/tex]
By cross multiply;
[tex]83x = 17(200-x)[/tex]
Using distributive property, [tex]a\cdot(b+c) =a\cdot b+ a\cdot c[/tex]
[tex]83x = 3400 - 17x[/tex]
Add 17x both sides we get;
[tex]83x+ 17x= 3400 - 17x +17x[/tex]
Simplify:
100x = 3400
Divide by 100 on both sides we get;
x = 34 miles
Therefore, the distance from point A will they meet is, 34 miles.
Answer:
Image
Step-by-step explanation:
Image
What is the y-coordinate of point D after a translation of (x, y) ? (x + 6, y – 4)?
Answer:
Y-coordinate = y - 4
Step-by-step explanation:
In the given question point D coordinate is (x, y)
and D after translation
x goes to 6 unit to the right and y goes to 4 unit down.
Hence,
Y-coordinate = y-4
Example:From graph
Let point D coordinate (x , y) = (2 , 3)
After rotation
D coordinates is (x+6 , y-4) = (2+6 , 3_4) = (8 , -1)
Answer:
On edge. the answer is 1
Step-by-step explanation:
i just took it
plz help :)))))))))))
Given:
b1 = 17 ft
b2 = 20 ft
h = 13 ft
r = 17/2 = 8.5 ft
Area of the Semi-circle = 1/2 π r²
= 1/2 (22/7) (8.5²)
= (11/7) (72.25)
= 113.535 ft²
Area of the trapezium = (h) (b1 + b2) / 2
= (13)(17 + 20)/2
= 240.5 ft²
Total area of the amphitheater stage = Area of Semi-circle + Area of the trazezium = 113.535 + 240.5 = 354.035 ft²
O is the centroid. Find the value of x. (Sorry if u cant see the photo :/, but this is Geometry btw)
Answer: x = 6
==============================================
Explanation:
The medians of a triangle meet up at the centroid in such a way that they cut each other at a ratio of 2:1, meaning that one part of the median is twice as long as the other. In this case, MO is two times longer than OP, so,
OP = 2*MO
and
MP = MO + OP
MP = MO + 2*MO .... replace OP with 2*MO
MP = 3*MO
9x-24 = 3*(x+4) ... plug in the given expressions
9x-24 = 3x+12
9x-3x = 12+24
6x = 36
x = 36/6
x = 6
math help please!!!! will be marking brainly
The answer is C. 3/5
20 girls, 3 boys. 23/40 is about 60 percent, or 3/5.
I wrote the wrong answer on accident for whatever reason when I first sent this, I apologize.