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

Find the Area ( PLEASE LEAVE EXPLANATION)

Answers

Answer:

28 ft²

Step-by-step explanation:

Hello There!

To solve for the area of an irregular shape we want to split the irregular shape into regular shapes

For this irregular shape we would split it into a square with a side length of 2ft and a rectangle with a length of 6ft and a width of 4ft ( width was found subtracting total height of irregular figure (6ft) from height of square (2ft) 6ft - 2ft = 4ft so the width would be 4ft)

now we can easily solve for the area of each individual shape

area of square -

the area of a square can simply be found by raising the side length to the power of 2

[tex]a =2^2\\2^2=4\\a=4ft^2[/tex]

so we can conclude that the area of the square is 4ft^2

Now we want to find the area of the rectangle

the area of a rectangle is simply equal to the width times the length

[tex]a=6*4\\6*4=24\\\\a=24ft^2[/tex]

so we can conclude that the area of the rectangle is 24ft^2

Finally we add the two areas together

24 + 4 = 28

thus meaning the area of the irregular figure is 28 ft²

I need help I will give you the brainliest answer

Answers

Answer:

(4, -22)

Step-by-step explanation:

1. Identify the coefficients 2. substitute the coefficients into the expression 3. Solve the equation 4. Evaluate the function for x=4

f(x)=4x-3, g(x)=10-x
Work out gf(x)?

Answers

Step-by-step explanation:

Given

f(x) = 4x - 3

g(x) = 10 - x

So Now

gf(x) = g( 4x - 3)

= 10 - 4x + 3

= 13 - 4x

Hope it will help :)❤

YO SOMEBODY HELP IM STUCK

Answers

Step-by-step explanation:

Here it is given that 0 is less than equal to X so answer will be you should point the mark on 0

A cell phone company dropped the
prices on their phones by 10%. Which
expression shows the new price of the
phones(p)?

Answers

Correct me if I’m wrong but I think it’s p-0.10p

GIVING BRAINLIEST Find the total surface area of the following
cone. Leave your answer in terms of .
12 cm
5 cm
SA = [ ? ]7 cm?
Hint: Surface Area of a Cone = tre + B
Where e = slant height, and B = area of the base

Answers

Answer:

282.74

Step-by-step explanation:

A=πrl+πr2

l=r2+h2

Solving forA

A=πr(r+h2+r2)=π·5·(5+122+52)≈282.74334

Answer:

Step-by-step explanation:

Please help its due in a hour

Answers

The side lengths of a triangle are 5,8 and 12 is this a right triangle?
A. no, because 5 + 8 ≠ 12.
B. yes, because 5² + 8² = 12².
C. no, because 5²+ 8² ≠ 12².
D. yes, because 5² + 8² < 12²
Step-by-step explanation:
Pythagoras theorem states c^2=a^2 + b^2
5^2=25
8^2=64
25+64=89

Find the missing length of the right triangle below

Answers

Answer:

C = 13

Step-by-step explanation: According to the pythagorean theorem, which states A² + B² = C². This means that in this equation 5²+12²=x². When we solve this we get 169=x². Since 169 is the perfect square of 13 therefore the answer is 13.

how to solve:

log8(28k-20)+15=18

Answers

Answer:

k=0.832926

Step-by-step explanation:

SOS MSENVJBQJBVKJQBH I NEED HELP- math is way to hard i think im gonna drop out lols 4(5 + 2x) – 5 = 3(3x + 7)

Answers

Answer: x= -6 I'm not sure about this though.

Step-by-step explanation:

Answer:

[tex]4(5 + 2x) - 5 = 3(3x + 7)[/tex]

[tex]20 + 8x - 5 = 9x + 21[/tex]

[tex]15 + 8x = 9x + 21[/tex]

[tex]9x + 21 = 15 + 8x[/tex]

[tex]9x - 8x = 15 - 21[/tex]

[tex]x = - 6[/tex]

What is the value of the following expression if x = 4, 2x + 3.1

Answers

Answer:

11.1

Step-by-step explanation:

Since x = 4,

2*4 = 8 +3.1 = 11.1

Answer:

11.1

Step-by-step explanation:

2(x) + 3.1

2(4) + 3.1

8 + 3.1

11.1

Find cosθ, tanθ, and cscθ, where θ is the angle shown in the figure.
Give exact values, not decimal approximations.

Answers

Answer:

Cos(θ) = 7/√58 ; Tan(θ) = 3/7 ; Csc(θ) = √58/3

Step-by-step explanation:

First, let's solve for the hypotenuse by using the Pythagorean Theorem.

a² + b² = c²

⇒ 7² + 3² = c²

⇒ 49 + 9 = c²

⇒ 58 = c²

⇒ √58 = c

Now that we know the hypotenuse is √58, we can solve for the trig ratios.

Cos(θ) = adjacent/hypotenuse = 7/√58

Tan(θ) = opposite/adjacent = 3/7

Csc(θ) = hypotenuse/opposite = √58/3

Given the equation x + 2y = 0, which equation will form a system of linear equations without a solution?

Please help

Answers

Answer:

2.5 and -0.75

8x−20
Apply the distributive property to factor out the greatest common factor.

Answers

Answer: 4(2x - 5)

Step-by-step explanation:

factors of 8 : (2, 2), 2

20 : (2, 2), 5

Therefore the GCF is 2*2 = 4

8x/4 = 2x and -20/4 = -5

4(2x - 5) = 8x - 20

If the Quadratic functions for the equations are graphed, which is the widest?
A. y = x^2
B. y = 2x^2
C. y = 6x^2
D. y = 1/4x^2

Answers

y = ax^2

If the absolute value of a is <1 the graph is wider than when a = 1

If the absolute value of a is >1 the graph is narrow than when a = 1

The only function that fits that description is

y = 2x^2

Here are the first five terms of an arithmetic sequence
5 8 11 14 17
Find an expression for the nth term of this sequence:
A: 3n+2
B: 5n+3
C: add 3 each times
D: 3n

Answers

3n+2

the difference between each term is 3 meaning it’s 3n. if you then take away 3 from the first term you are left with 2. this means the nth term is 3n+2

Which of the following ordered pair could NOT be included in this set if it is a function? { (-4, 2), (3, 6), (4, 3), (?, ?) }
1. (3,6)
2.(-3,6)
3.(4,-3)
4.(1,2)

Answers

Answer:

I´m pretty sure it´s 2.(-3,6).

Step-by-step explanation:

Find the value of a and b when x = 10
a =
5x2
2
b=
2x2(x - 5)
10x
help

Answers

Answer: x-15=0 is x-15

x-4=0 is x=4

Hope this helps :)

Step-by-step explanation:

Giving brainlest and 20 points
What is the surface area of the solid?

A.
46 square inches

B.
15 square inches

C.
40 square inches

D.
23 square inches

Answers

Answer:

C. 40 square inches but i could be wrong

Marsha wants to walk from the parking lot through the forest to the clearing, as shown in the diagram. She knows that the forest ranger station is 154 feet from the flag pole and the flag pole is 350 feet from the clearing. How far is the parking lot from the clearing? Distance from parking lot to clearing _________

Answers

Answer:

420

Step-by-step explanation:

504/x = x/350

x² = 176,400

[tex]\sqrt{176,400}[/tex] = 420

is the slope (+) (-) (zero) or (unidentified)

Answers

Answer:

zero is the answer brainliest plz

Step-by-step explanation:

Help me please and thank you

Answers

Answer:

4.2 hours

Step-by-step explanation:

He spends 6 hours helping customers and 1.8 doing paperwork.

josie makes fruit punch by mixing fruit juice and lemonade in the ratio 1:4 she needs to make 40 litres of punch for a party
how much of each ingredient does she need

Answers

Answer:

the fruit juice and lemonade required 8 liters and 32 liters respectively

Step-by-step explanation:

The computation of each ingredient does she needed is given below:

Given that

There is liters of punch for a party is 40

And, the ratio of fruit juice to lemonade is 1:4

So,

The fruit juice is

= 40 × 1 ÷ 5

= 8 liters

And, for lemonade it is

= 40 × 4 ÷ 5

= 32 liters

hence, the fruit juice and lemonade required 8 liters and 32 liters respectively

HELP ME PLEASE HURRY UP

In the right triangle shown, what is the length of segment PQ?
P
17 cm
15 cm

Answers

Answer:

a is your answer!!

Step-by-step explanation:

Hope this Helps!!!

Find the measure of Angle A in the image below:
142°
А

Answers

Answer:

Step-by-step explanation:

180-42

Answer:

Step-by-step explanation:

A + 142 = 180 {Linear pair}

A = 180 - 142

A = 38

i’ll give brainliest please help!!!

Answers

Answer: The third one.

Step-by-step explanation: The hottest time of the day is around 3 p.m. Heat continues building up after noon, when the sun is highest in the sky, as long as more heat is arriving at the earth than leaving.

Answer: All of them

Step-by-step explanation: I think zll of them

Find the integer that satisfies the inequality below.
Please help with a

Answers

Answer:a)6,7,8

d)8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30

Step-by-step explanation:

What number represents 50 meters below sea level

Answers

-50 meters would be the answer.

What is the answer to 10w + 3 and 3?

Answers

Answer:

Im gonna have to say 10w + 9x?

Step-by-step explanation:

I hope this can help :,)

Answer: 30w + 9

Step-by-step explanation:

10w + 3 * 3 can be written as

3 (10w +3) and u have to distribute 3 to 10 w and the other 3

= 3*10w + 3*3

= 30w + 9

how to multiply fractions

Answers

For example,

[tex]\frac{1}{2} *\frac{1}{2}[/tex]

They both do have the same denominator, so we can multiply them.

We need to multiply the numerators.

Next, multiply the denominators.

We then get:

1/4

If the denominators are not the same, find the LCD (Least Common Denominator) of the two fractions. Then, follow above.

Need Help? Please leave a comment :D

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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°​

Answers

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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°