Study the Proof Given.
List the reasons for Items 2,3, & 4.
Right the number and then the answer.
Answers
The following statements and reasons, proves that line AB is congruent to line DE.
Statement Reasons
1. B is the midpoint of line AC Given
2. Line AB is congruent to line BC. Midpoint of a line segment
3. Line BC is congruent to line DE Given
4. Line AB is congruent to line DE Transitive property
Related Questions
A jet travels 500 miles in 2 hours. At this rate, how far could the jet fly in 8 hours? What is the rate of speed of the jet? PLEASEEE HELP
Answers
Staci has seven more cats then Taylor. Write an expression that illustrates how many cats Staci has. Use x to represent the number of cats Taylor has./4899345/032a37eb?utm_source=registration
Answers
Staci has seven more than this so:
x + 7 = number of cats Staci has
Find a point on the y-axis that is equidistant from the points (4, −4) and (1, 1).
Answers
a point on the y-axis is : P( 0, y)
PA = PB or PA² = PB².... A(4 , -4) B(1,1)
(4-0)²+(-4-y)² = (1-0)² + (1-y)²
16 +y² +8y +16 = 1 + 1 -2y +y²
10y = -30
y = -3
One month, Ruby worked 8 hours more than Isaac, and Svetlana worked 4 times as many hours as Ruby. Together they worked 112 hours. Find the number of hours each person worked.
Answers
S=4R
R+I+S=112
R+R-8+4R=112
6R=120
R=20
So therefore, Ruby worked 20 hours, Svetlana worked 80 hours, and Isaac worked 12 hours.
Gretchen and Ezia received equal scores on a test made up of multiple choice questions and an essay. Gretchen got 18 multiple choice questions correct and received 19 points for her essay. Ezia got 15 multiple choice questions correct and received 31 points for her essay.
How many points was each multiple choice question worth?
Enter your answer in the box.
Answers
NOT Guaranteed this is the Answer. Best of luck to you.
Find the angle measure of the hands of a clock at the given time. 5:00
Answers
[tex] \frac{5}{12}*360=5*30=150^o [/tex]
Answer is 150°
The angle measured by the hands of a clock at the given time at 5:00 will be 150°.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
We know that the hour hand will be on 5 and the minute hand will be on 12 at 5:00 o'clock.
Then the angle measured by the hands of a clock at the given time at 5:00 will be
⇒ (360° / 12) x 5
⇒ 30° x 5
⇒ 150°
The angle measured by the hands of a clock at the given time at 5:00 will be 150°.
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Determine the solution of the system. Show your work.
Y = 5x – 9
Y = 2x + 6
Answers
5x-9=2x+6
3x-9=6
3x=15
x=5
Then plug in x into any of the equations
y=2(5)+6
y=10+6
y=16
Final answer: (5,16)
The solution is (x, y) = (5, 16). My "work" is to make use of a graphing calculator.
_____
You can subtract the second equation from the first. This gives
... 0 = 3x -15
Then, divide by 3 and add 5.
... 0 = x - 5
... 5 = x
Substitute this value into either equation to find y.
... y = 2x +6
... y = 2·5 +6
... y = 16
The strategy to subtract the second equation from the first is based on the observation that both equations give expressions for y, and the x-coefficient in the first equation is the larger of the two x-coefficients. Thus, the subtraction we chose will eliminate y and give an x-term with a positive coefficient.
If cot= 2/3 what is the value of Csc
Answers
Tan= opposite over adjacent. So 3/2
This means the hypotenuse is square root of 13
Csc is inverse sin
Sin = opposite \ Hypotenuse
Sin = 3/Square root of 13
Csc = square root of 13/ 3
What is the area of a circle with radius 14 units, to the nearest hundredth?
Answers
14×2=28
28×pi=88
How can I evaluate this question?
Answers
[tex]\bf \\\\\\ \begin{cases} x^2\cdot x^{\frac{1}{3}}+3x^3-4x^2\\\\ -2x^{-\frac{1}{2}}\cdot x^{\frac{1}{3}}-2x^{-\frac{1}{2}}\cdot 3x+2x^{-\frac{1}{2}}\cdot 4\\\\ +x^{\frac{1}{3}}+3x-4 \end{cases} \\\\\\ \begin{cases} x^{2+\frac{1}{3}}+3x^3-4x^2\\\\ -2x^{-\frac{1}{2}+\frac{1}{3}}-6x^{-\frac{1}{2}+1}+8x^{-\frac{1}{2}}\\\\ +x^{\frac{1}{3}}+3x-4 \end{cases}[/tex]
[tex]\bf x^{\frac{7}{3}}+3x^3-4x^2-2x^{-\frac{1}{6}}-6x^{\frac{1}{2}}+8x^{-\frac{1}{2}}+x^{\frac{1}{3}}+3x-4 \\\\\\ \sqrt[3]{x^7}+3x^3-4x^2-\cfrac{2}{x^{\frac{1}{6}}}-6\sqrt{x}+\cfrac{8}{x^{\frac{1}{2}}}+\sqrt[3]{x}+3x-4 \\\\\\ x^2\sqrt[3]{x}+3x^3-4x^2-\cfrac{2}{\sqrt[6]{x}}-6\sqrt{x}+\cfrac{8}{\sqrt{x}}+\sqrt[3]{x}+3x-4[/tex]
(01.02) given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3. (1 point) −15 −8 10 25
Answers
f(x) = 2x + 5 and g(x) = x − 7
f(g(-3))=f (-3-7) =f(-10) = 2(-10)+5 = -20+5 = -15
Write a story that matches the expression
42x - 5
Answers
Answer: Hello there!
The equation is: 42x - 5
That can be phrased as "the difference between 42 times a number x and 5"
And we want to write a story that matches this.
an example can be:
Suppose that Jon craft musical instruments and he sells them in the beach, then you could write:
"The revenue in a day for Jon is equal to $42 for each instrument that he sells, less a 5 dollar fee that he needs to pay every day"
where the number of instruments would be x.
Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x = 7.
y=15 when x=6
Answers
To write a direct variation equation, we use the form y = kx, where k is the constant of variation. We can find the value of k by substituting the given values into the equation. Once we have the value of k, we can write the direct variation equation that relates x and y. Finally, we can find the value of y for a given value of x by substituting it into the equation.
Explanation:To write a direct variation equation, we use the form y = kx, where k is the constant of variation. We are given that y = 15 when x = 6. To find k, we can substitute these values into the equation:
15 = k * 6
To find the value of k, we divide both sides by 6:
k = 15/6 = 2.5
Now we can write the direct variation equation that relates x and y:
y = 2.5x
To find the value of y when x = 7, we substitute x = 7 into the equation:
y = 2.5 * 7 = 17.5
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Algebra problem below!
The sum of two consecutive even integers is -50
What are the numbers?
Answers
The formula is:
x + (x + 2) = -50
Solving:
2x + 2 = -50
2x = -52
x = -26
Finding the second number:
-26 + 2 = -24
-24,-26
Hope this helps!
Parallelogram JKLM is shown on the coordinate plane below:
If parallelogram JKLM is rotated 270° clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the image parallelogram?
Answers
Answer-
The coordinates of the endpoints of the side congruent to side JM will be,
(-2, -6) and (1, -5).
Solution-
When rotating a point 270° clockwise or 90° counter-clockwise around the origin, we apply the rule (x, y) → (-y, x).
The co-ordinates of the original parallelogram are,
J = (-6, 2)
M = (-5, -1)
L = (-3, 3)
K = (-4, 6)
After the rotation, the new co-ordinates will be,
J = (-2, -6)
M = (1, -5)
L = (-3, -3)
K = (-6, 4)
∴ The coordinates of the endpoints of the side congruent to side JM will be,
(-2, -6) and (1, -5).
40% of a 12,000 acre forest is being logged how many acres will be logged
Answers
12000 - 4800 = 7200
7200 acres are being logged
hope this helps
0.40 (12,000) = 4,800
answer
4,800 acre is 40% of a 12,000 acre
Suppose that (y) varies with (x). Write an equation for the inverse variation.
y=4 when x=7
A: y= x/28
B: y=3x
C: x= y/3
D: y= 28/x
Answers
y = k/x, where k is the constant
if x = 7 and y = 4
4=k/7
k = 4*7 = 28
y = 28/x
answer is D
If a measurement follows a normal (bell-shaped) frequency curve, then percent of the population will have a z-score below .36.
Answers
From the normal distribution tables, when z < 0.36, obtain
P(z < 0.36) = 0.6406 ≈ 64 percent
Answer: 64% (nearest integer)
Plane A leaves Tulsa at 2:00 p.m., averaging 300 mph and flying in a northerly direction. Plane B leaves Tulsa at 2:30 p.m., averaging 225 mph and flying due east. At 5:00 p.m., how far apart will the planes be?
Answers
Answer 1061
Step-by-step explanation:
Answer:
At 5:00 p.m. the planes will be [tex]1061.323[/tex] miles apart.
Step-by-step explanation:
To solve this problem, I add a picture of the situation.
We know that speed is distance over time ⇒
[tex]Speed=\frac{distance}{time}[/tex] (I)
The first step to solve this exercise is to graph the situation. We can draw a right triangle which vertices will be ''Tulsa'', and the planes ''A'' and ''B'' at 5:00 p.m.
In order to know the measures of the sides, we are going to calculate them using the equation (I)
Plane A leaves Tulsa at 2:00 p.m.
Therefore, at 5:00 p.m. it will have flown 3 hours ⇒
[tex]300\frac{mi}{h}=\frac{distance}{3h}[/tex] ⇒
[tex]distance=(300\frac{mi}{h}).(3h)[/tex]
[tex]distance=900mi[/tex]
At 5:00 p.m. the distance from the plane A to Tulsa is 900 mi
Plane B leaves Tulsa at 2:30 p.m.
Therefore, at 5:00 p.m. it will have flown 2.5 hours ⇒
[tex]225\frac{mi}{h}=\frac{distance}{2.5h}[/tex]
[tex]distance=(225\frac{mi}{h}).(2.5h)[/tex]
[tex]distance=562.5mi[/tex]
At 5:00 p.m. the distance from the plane B to Tulsa is 562.5 mi
Finally, we can find the distance between the plane A and the plane B using the Pythagorean theorem :
[tex](900mi)^{2}+(562.5mi)^{2}=(Distance_{A-B})^{2}[/tex]
[tex]810000mi^{2}+316406.25mi^{2}=(Distance_{A-B})^{2}[/tex]
[tex](Distance_{A-B})^{2}=1126406.25mi^{2}[/tex]
[tex]Distance_{A-B}=\sqrt{1126406.25mi^{2}}[/tex]
[tex]Distance_{A-B}=1061.322877mi[/tex] ≅ [tex]1061.323mi[/tex]
At 5:00 p.m. the planes will be 1061.323 miles apart.
The distributive property is used to help simplify math experssions. True False
Answers
hope it helped
Hey!
Hope this helps...
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
TRUE
This is because when you distribute 1 thing between 2 (or more) things, it (in a way) simplifies the problem...
For Example:
solve for x
f(x) = 5*(x - 4)
The only way to solve a question like this would be to distribute the 5 to the x and to the 4...
So...
The answer is: TRUE
Solve x(−2) 2 =4(−2)
Answers
x(−2) 2 =4(−2) = -2
Explanation:To solve this equation, we first need to understand the order of operations in mathematical equations. The acronym PEMDAS is often used to remember the order: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
In this equation, we have parentheses and exponents. According to PEMDAS, we need to solve the parentheses first before moving on to the exponent. So, let's start by simplifying the parentheses on the left side of the equation.
x(-2)^2 = 4(-2)
= x(4) = -8
= 4x = -8
= x = -2
In the first step, we distributed the exponent of 2 to the -2 within the parentheses, resulting in (-2)^2 = (-2)(-2) = 4. This simplifies the left side of the equation to x(4) = 4x.
In the second step, we substituted the value of -2 on the left side of the equation, resulting in 4(-2) = 4x. This simplifies to -8 = 4x.
To isolate x, we divide both sides by 4, resulting in x = -2. This gives us our final answer.
In conclusion, when solving equations with multiple operations, it is important to remember the order of operations and follow it step by step. In this equation, we simplified the parentheses first, then solved for x by isolating it on one side of the equation. By following these steps, we were able to find the value of x, which is -2.
1. Find the perimeter and area of a rectangle with a length of 3.2 m and a width of 1.5 m.
A) p=4.7 m; A=2.25 m^2
B) p=4.7 m; A=4.8^2
C) p=9.4 m; A=2.4 m^2
D) p=9.4 m; A= 4.8^2
2. Find the area of a triangle with a base of 27 feet and a height of 14 feet.
A) 41 ft^2
B) 82 ft^2
C) 189 ft^2
D) 378 ft^2
Answers
what do you add 15/4 to make 4
Answers
What is the answer for this problem
Answers
9 + 3 x 13 =
9 + 39 = 48
3x13=39
39+9=48
Complete the steps to the factor the tens. 30x40=( n x 10) x ( n x 10)=( n x n) x (10 x10)= n x 100 = n
Answers
Point M is the midpoint of segment JK. Find JK when JM=6x-7 and MK=2x+3.
Answers
so
6x-7=2x+3
minus 2x both sides
4x-7=3
add 7 both sides
4x=10
divide both sides by 4
[tex]x=\frac{10}{4}[/tex]
[tex]x=\frac{5}{2}[/tex]
sub back
JM=6x-7
[tex]JM=6(\frac{5}{2})-7[/tex]
[tex]JM=\frac{30}{2}-7[/tex]
[tex]JM=15-7[/tex]
JM=8
JM=MK=8
JM+MK=8+8=16=JK
[tex]x=\frac{5}{2}[/tex] and JM=8=MK and JK=16
The value of JK will be 16.
It is given that M is the midpoint of segment JK.
We have to find out the value of JK.
What will be the value of x , if 4x + 12 = 8x + 4 ?
The value of x will be 2.
As M is the midpoint of JK.
JK = MK + JM
So,
MK = JM
2x + 3 = 6x - 7
4x = 10
x =2.5
So ,
MK = 2x + 3 = 8
JM = 6x - 7 = 8
Hence ,
JK = MK + JM = 8 + 8
JK = 16
Thus , value of JK will be 16.
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what numbers are divisible by 7?
a.75 b.35 c.20 d.30
Answers
Thanks (;
Evaluate these questions
3a+2a=
c+d there is a line under this one
ad
Answers
1)
For this question we can combine the terms together as they are like:
[tex]3a+2a[/tex]
Combine like terms.
[tex]=5a[/tex]
Hope this helps.
-Benjamin
Which trigonometric ratios are correct for triangle ABC? Check all that apply
Answers
Let
OPP denote the length of the side opposite to M,
ADJ denote the length of the side adjacent to M, and
HYP denote the hypotenuse.
then:
Sin(M) = OPP/HYP
Cos(M)= ADJ/HYPP
Tan(M)=OPP/ADJ
Back to our problem,
using the Pythagorean we can find the length of AB:
[tex]|AB|^2+|AC|^2=|BC|^2\\\\|AB|^2+9^2=18^2\\\\|AB|^2=18^2-9^2\\\\|AB|^2=(18-9)(18+9)=9 \cdot 27=9 \cdot 9 \cdot3\\\\|AB|=9 \sqrt{3} [/tex]
[tex]Sin(C)= \frac{OPP}{HYP}=\frac{9 \sqrt{3} }{18}= \frac{ \sqrt{3} }{2}[/tex]
[tex]Cos(B)= \frac{ADJ}{HYP}= \frac{9 \sqrt{3}}{18}= \frac{ \sqrt{3}}{2} [/tex]
[tex]Tan(C)= \frac{OPP}{ADJ}= \frac{9 \sqrt{3} }{9}= \sqrt{3} [/tex]
[tex]Sin(B)= \frac{OPP}{HYP}= \frac{9}{18}= \frac{1}{2} [/tex]
[tex]Tan(B)= \frac{OPP}{ADJ}= \frac{9}{9 \sqrt{3}}= \frac{1}{ \sqrt{3} }= \frac{ \sqrt{3}}{3} [/tex]
Answer: 1, 3, 4
Can u solve 6x-21=5x+17+x
Answers
6x - 21 = 6x + 17
6x - 6x = 21 + 17
0 = 38, untrue
cannot be solved
hope this helps