1. Quadrilateral EFGH is an isosceles trapezoid. If mG is four times mH, what is mE? A)18° C)72° D)144° B)36°

Answers

Answer 1

Answer:

<E = 36 degrees (Answer B)

Step-by-step explanation:

Recall that the addition of all internal angles in a quadrilateral must equal 360 degrees. Then we can write the equation that states this as:

<E + <F + <G + <H = 360

Notice as well that we are dealing with an isosceles trapezoid, so there is a symmetry along the line that passes through the midpoints of sides FG and EH (the two bases). That means that the measures of angles <F = <G and <E = <H .

The previous equation then can be written as:

<H + <G + <G + <H = 360

Also, since we are told that <G = 4 <H, we can use this info in the equation as shown below:

<H + 4 <H + 4 <H + <H = 360

10 <H = 360

divide both sides by 10 to isolate <H

<H = 360 / 10

<H = 36

Since as we mentioned, <E equals <H, we can state that

the measure of <E = 36 degrees (Answer B)

Related Questions

out of 35 students In a class 21 opted for basketball the remaining opted for volleyball what is the probability of choosing a student to opted for volleyball

Answers

Answer:

15 student

Step-by-step explanation:

35 - 21

Pls mark as branlist

It would be a 2/5 chance I think, since 35 minus 21 is 14; 14 is the volleyball players and that is 14/35 which simplifies to 2/5!

Math question! I don't understand! can I have an explanation?

Answers

Answer:

linear monomial

Step-by-step explanation:

Find the value of x in the solution to the system of equations shown.
y = 12x +7
y = -6x +25

Answers

Answer: 1. x= y/12 - 7/12

2. x=y/6 + 25/6

Step-by-step explanation:

Y=12x+7
2y=-12x+50
3y=57
Y=19
19=12x+7
12=12x
X=1

A) Find the Volume enclosed by the curve =6−22 and the x-axis when it is rotated once around the x-axis.

Answers

Answer:

hello your question is not well written hence i will give you a more general answer assuming a region that is enclosed by curves y = x and y = x^3

answer : 8/21

Step-by-step explanation:

y =x , y = x^3

next determine the intersection point which is

x = x^3

x( x^2 - 1 ) = 0

therefore ; x = 0 , 1 , -1

attached below is a detailed solution

An object with a mass of 5.0kg accelerates 8.0m/s2 when an unknown force is applied to what is the force?

Answers

Uhhh good question ion know

Answer:

The correct amount of force i believe is

f= 40 newton

i got the answer by using the formula below

force = mass x acceleration

f=5kg *8.0 m/s^2

Step-by-step explanation:

Which points justify shading inside the conic inequality 8x² – 12x + 4y² + 4y – 20 ≤ 0? Check all that apply.

(–1, –2)
(–1, –1)
(0, 0)
(0, 2)
(1, –2)

Answers

Answer:

B. (–1, –1)

C. (0, 2)

E. (1, –2)

Step-by-step explanation:

plugged in the answers into (x) and (y)

The points (0, 0), (-1, -1), and (1,-2) inside the conic inequality option (B), (C), and (E) are correct.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

Conic inequality:

8x² – 12x + 4y² + 4y – 20 ≤ 0

After plotting the above inequality on a coordinate plane we will get an ellipse:

From the graph:

The points:

(0, 0), (-1, -1), and (1,-2) inside the conic inequality.

Thus, the points (0, 0), (-1, -1), and (1,-2) inside the conic inequality option (B), (C), and (E) are correct.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ5

3) Artemis has 6 boards cut in various lengths as shown. She wants to use 3 of them to frame
a triangular window in her new clubhouse. How many unique triangles can Artemis make with
the lengths she has? *
3 ft
3 ft
5 ft
5 ft
8 ft
8 ft
3 Triangles
4 Triangles
5 Triangles
6 Triangles

Answers

Answer:

It's either 3 Triangles

, 4 Triangles

, 5 Triangles

, or 6 Triangles

Step-by-step explanation:

Considering how many answers there are, there's a 1/4 chance for it to be any. Concluding by that it's either 3 Triangles

, 4 Triangles

, 5 Triangles

, or 6 Triangles

A recipe calls for 3/4 cup of brown sugar for every 3 eggs. What is the unit rate of eggs per cup?

Answers

Answer:

4 eggs per cup

Step-by-step explanation:

I need help with this ASAP

Answers

Answer:

Step-by-step explanation

I think its D

B - Colored in, arrow to the left

please help me with #1 asap!!! ill give brainliest

Answers

Answer:

A 2 seconds

Step-by-step explanation:

Answer:

4 seconds

Step-by-step explanation:

Since the object is falling 16ft per second, it would take 4 seconds for it to fall 64 ft. Because 64 divided by 4 is 16

what does this mean

Answers

Answer:

it means to add all of the numbers then divide by how many there are

so, 3+3+5+5+5+7+7+8+15+15=73

73/10=7.3

hope this helped!!

I need help , I really don’t understand it .

Answers

Answer:

slope intercept form is the form of y=mx+b, where the slope is m and the y intercept is b.

what you have to do is to solve the equations for y.

1) 2x+2y = 10

2y = 10 -2x

y = -x +5

2) 12+4y = -4x

4y = -4x-12

y = -x -3

lines are parallel when they have same slope and different y-intercepts. m1=m2 and b1 ≠ b2

lines are perpendicular when the multiplication of their slope gives -1

m1 x m2 = -1

here the slopes are same and y-intercepts are different so lines are parallel.

If two expressions, 2x + 8 and 2 (x + 2) + k are equivalent, what is the value of k? Enter the value in the box.

Answers

2x+8=2(x+2)+k
2x+8=2x+4+k
k=4

Therefore k= 4, Hope this helps!! :)

Please help (exponents)

Answers

Answer:

Barb evaluated correctly

Answer:

Barb is the correct expression

will mark brainliest and rate 5/5

Answers

Answer:

I dont know if this question was needed to be solved

Find the circumference of the circle rounded to the nearest
whole number
5 in.
79 in.
31 in.
15 in
16 in

Answers

Where’s the picture? Then I could help you but I don’t see one

plz help find x !!!!!

Answers

Answer:

a. 38.5

Step-by-step explanation:

The triangles are similar. That means that the ratios are the same.

x/14 = 11/4

x/31.5 = 11/9

Let's use the top one

x/14 = 11/4

4x/14 = 11

4x = 154

x = 38.5

Find the value of x please and thank you

Answers

Given:

In triangle DEF, HG is parallel to DF.

To find:

The value of x.

Solution:

In triangles DEF and GEH,

[tex]\angle DE F\cong \angle GEH[/tex] (Common angle)

[tex]\angle EDF\cong \angle EGH[/tex] (Corresponding angle)

[tex]\Delta DE F\sim \Delta GEH[/tex] (By AA property of similarity)

We know that corresponding sides of similar triangle are proportional.

[tex]\dfrac{DE}{GE}=\dfrac{DF}{GH}[/tex]

[tex]\dfrac{9+(x+5)}{x+5}=\dfrac{12}{6}[/tex]

[tex]\dfrac{x+14}{x+5}=2[/tex]

[tex]x+14=2(x+5)[/tex]

[tex]x+14=2x+10[/tex]

Isolating variable terms, we get

[tex]x-2x=-14+10[/tex]

[tex]-x=-4[/tex]

[tex]x=4[/tex]

Therefore, the value of x is equal to 4.

Pleas help me solve the following inequality and graph the solution set on the number line
2(x-3)-5x≤9

Answers

Answer:

x≥ -5

Step-by-step explanation:

What is the area of the trapezoid?

Answers

Answer:

64ft²

Step-by-step explanation:

trapezoid area formula is b1+b2 over 2 times the height so

(6+10)÷2×8

16÷2×8

8×8

What are the next three terms in the sequence? -112, -129, -146, ___________

Explain your answer.

Answers

Answer:

-163, -180, -197

Step-by-step explanation:

-146--129=-17

the difference of them is 17 so keep adding it

-163,-180,-197

The recursive formula of this sequence is:

a n =-17n-95

What is the circumference of a 12 - inch diameter pizza? Leave the answer in terms of pie.
A. 3 pie
B. 6 pie
C. 12 pie
D. 24 pie

Answers

answer is 12pi

to find the circumference the formula is pi multiplied by diameter so 12xpi gives you 12pi

What is the measure of angle B?

A. 75
B. 60
C. 30
D. 38

Answers

Step-by-step explanation:

a = 180-117 = 63

180- (81+63) = 36

Help ASAP! Question in pic! Will give brainliest!!

Answers

Answer:

Its the third option

look below giving brainliest

Answers

Answer:

Step-by-step explanation:

3*5*1=15

The line m has a slope of 4. What is the slope of a line perpendicular to line m?

Answers

Step-by-step explanation:

Given

Slope (m1) = 4

As it is said that the lines are perpendicular so we have

m1 * m2 = - 1

4 * m2 = - 1

m2 = - 1/4

The slope of the line perpendicular to line m is

- 1/4

Hope it will help :)❤

Answer:

The slope of the perpendicular line is -1/4

Step-by-step explanation:

Perpendicular lines have slopes that multiply to -1

Let the slope of the perpendicular line have sloe p

m*p = -1

4 * p = -1

Divide each side by 4

p = -1/4

The slope of the perpendicular line is -1/4

If point (2, 3) is rotated 270 degrees, what will be the new coordinate point?

Answers

Answer:

-2,-3

Step-by-step explanation:

multiply the x coordinate and the y coordinate by -1 and interchange the x and y-coordinates

what does inversely proportional mean

Answers

If one value is inversely proportional to another then it is written using the proportionality symbol in a different way. Inverse proportion occurs when one value increases and the other decreases. For example, more workers on a job would reduce the time to complete the task. They are inversely proportional.

what is th answer to

Find the Area: R= 8cm

Answers

Answer:

64 π ( c m ) ^2

Step-by-step explanation:

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of
airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be
used to determine her monthly cell phone bill (C)?
C = 15 + 0.20%
C =15 (0.20%)
C# 15 + X+ 0.20
C = 0.20 + 15x

Answers

It wouldn’t be any of these I don’t think, however I don’t know what the # means.

I thought it would be C = 15 + x(0.20)

Hope this helps

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1. Quadrilateral EFGH is an isosceles trapezoid. If mG is four times mH, what is mE? A)18° C)72° D)144° B)36°​

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1. Quadrilateral EFGH is an isosceles trapezoid. If mG is four times mH, what is mE? A)18° C)72° D)144° B)36°