Mathematics College

Right triangle EFG and right triangle EHG overlap as shown below. Angle HEG measures 35° and angle FGE measures 30°.



What are the values of x and y?

Right Triangle EFG And Right Triangle EHG Overlap As Shown Below. Angle HEG Measures 35 And Angle FGE

Answers

Answer 1

Given:

Triangle EFG and EHG are two right triangles.

[tex]m\angle HEG=35^\circ[/tex]

[tex]m\angle FGE=30^\circ[/tex]

To find:

The values of x and y.

Solution:

In triangle EFG,

[tex]m\angle EFG+m\angle FGE+m\angle FEG=180^\circ[/tex]        [Angle sum property]

[tex]90^\circ+30^\circ+(x+35)^\circ=180^\circ[/tex]

[tex](x+155)^\circ=180^\circ[/tex]

[tex]x+155=180[/tex]

[tex]x=180-155[/tex]

[tex]x=25[/tex]

In triangle EHG,

[tex]m\angle EHG+m\angle HEG+m\angle EGH=180^\circ[/tex]        [Angle sum property]

[tex]90^\circ+35^\circ+(y+30)^\circ=180^\circ[/tex]

[tex](y+155)^\circ=180^\circ[/tex]

[tex]y+155=180[/tex]

[tex]y=180-155[/tex]

[tex]y=25[/tex]

Therefore, the value of x is 25 and the value of y is also 25.

Related Questions

2 circle graphs. One circle graph is titled Freshmen Movie Preference. 38 percent is comedy, 27 percent is horror, 23 percent is drama, 9 percent is romance, 3 percent is documentary. Circle graph 2 is titled Senior Movie Preference. 19 percent is comedy, 4 percent is horror, 71 percent is drama, 1 percent is romance, 6 percent is documentary. The freshman and senior classes were surveyed on movie preference. Each class has 100 students. Which statements are true? Check all that apply. More seniors like drama than freshmen. More freshmen like comedy than seniors. Only 4 seniors prefer horror movies. Twice as many seniors like horror than freshmen. Twice as many freshmen like comedy than seniors.

Answers

Answer:

you probably got the answer already but its a, b, c, and e

Step-by-step explanation:

i just got the answer

Answer:

abce

Step-by-step explanation:

A minor arc will have a measure that is
OA. more than 180°
O B. equal to 180°
OC. less than 180°

Answers

Can u upload more of it so I can’t get ur wrong
It would be C.less than 180 degrees

Hope this helps

Sin(x/7)sin(x/7)=1/2[1- cos (2x/7)] true or false plzzzzz hello am struggling

Answers

Using a trigonometric identity, it is found that the statement is False.

What is the trigonometric identity used in this question?

It is for the sine squared, given by:

[tex]\sin^2{x} = \frac{1 - \cos{(2x)}}{2}[/tex]

In this problem, the equality given is:

[tex]\sin{\left(\frac{x}{7}\right)} = \frac{1 - \cos{\left(\frac{2x}{7}\right)}}{2}[/tex]

Since the left side does not have the sine squared, the identity is not valid and the statement is False.

More can be learned about trigonometric identities at https://brainly.com/question/24496175

Answer:

True

Step-by-step explanation:

Just took the quiz

Kate bought $23.40 worth of two types of bird seed. Thistle bird seed sells for $1.60 per pound and wild bird seed sells for $0.95 per pound. If she bought 12 pounds of wild bird seed, write and solve a linear equation to find the amount of thistle bird seed she purchased.​

Answers

Answer:

Ax+By=C and 7.5 lb of Thistle

Step-by-step explanation:

When a numerator equals zero, a ratio is what?

Answers

Answer:

A numerator is allowed to take on the value of zero in a fraction. Any legal fraction (denominator not equal to zero) with a numerator equal to zero has an overall value of zero. all have a fraction value of zero because the numerators are equal to zero.

Need help ASAP :)
Question on the picture:)

Answers

Answer:

a. No

b. Yes

Step-by-step explanation:

a.

x - 4 = 12

x - 4 + 4 = 12 + 4

x = 16

16 ≠ 8

Therefore, the following value given for problem a is not a solution to the given equation.

b. (3 + x)/4 = 3

(3 + x)/4 * 4 = 3 * 4

3 + x = 12

3 + x - 3 = 12 - 3

x = 9

9 = 9

Therefore, the following value given for problem b is a solution to the given equation.

A lab scale weighs 3 pounds, 5 ounces. Which of the following is the scale weight in (oz)?

a. 35 oz
b. 53oz
c. 41
d. 29oz

Answers

Answer:

53 ounces

Step-by-step explanation:

We know that,

1 pound = 16 ounce

3 pounds = 48 ounces

We need to find the weight in 3 pounds, 5 ounces.

3 pounds, 5 ounces = 48 ounces+ 5 ounce

= 53 ounces

So, the scale weight is 53 ounces. Hence, the correct option is (b).

The average person that weighs 150 pounds has approximately 4.5 liters of blood in their body. Based on that same scale, supposedly how many liters of blood would a 250 pound person have?

Answers

Answer:

First you find how many pounds for 1 litre of blood. Trick is if you divide x by y, the answer you get will follow the unit of x. So if you divide 150 pounds by 4.5 litres, the answer will be 33.33 pounds per litre. So how many 33.33... is there in 250? Just divide 250 by 33.333 or (150/4.5), you'd get 7.5. That means for there's 7.5 parts of 33.333 pounds in 250 pounds. And if 33.333 pounds is equal to 1 litre of blood, you get 7.5 liter!

.
If the value of x is -4, which inequality is true?

Answers

what are the inequalities ?

Triangle XYZ is reflected across the x-axis, and X = (–11, 8). What are the coordinates of X’ ?

Here are your choices:
A) (11,–8)

A) (–8, 11)

A) (11, 8)

A) (–11, –8)

I hope this question isn't confusing you guys∪ω∪

Answers

9514 1404 393

Answer:

  (-11, -8)

Step-by-step explanation:

Reflection across the x-axis changes the sign of the y-coordinate.

For X(-11, 8), the reflected point is X'(-11, -8).    (matches the last choice)

Answer:

IS THIS REALLY FOR HIGH SCHOOL

Step-by-step explanation:

IF NOT I WILL ANSWER

Can someone check this thanks

Answers

Answer:

That is correct! Good boy, you get a treat. :)

Step-by-step explanation:

Define the opposite and the absolute value of -15.

Answers

Answer:

|-15| is 15

Step-by-step explanation:

What is the length of side AD?

What is the measure of
What is the measure of

Answers

Answer:

11 in

Step-by-step explanation:

as itis parallelogram equal sides

Help!!!!!!?!!!!!!!!!!??????????

Answers

Step-by-step explanation:

A value is excluded when it makes the rational expression undefined. (such as making the denominator 0, etc.)

For example when x = 8, (x - 8) at the denominator will become 0 and make it undefined.

The correct options are the 3rd and 4th ones.

Best answer gets Brainliest!!!

Answers

i can’t see it......

Cole’s backyard is rectangular an has a perimeter of 104 meters. The ratio of its length to its width is 6:2. What length is the long side of Cole’s backyard?


Help Me To Find The Answer Please !!!!!!!

Answers

Answer:

[tex]39\ m[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\Perimeter\ of\ Cole's\ backyard=104\ meters\\Now,\\Let\ the\ constant\ of\ proportionality\ between\ the\ length\ and\ the\ width\ of\\ Cole's\ backyard\ be\ x.\\Hence,\\Length\ of\ Cole's\ backyard=6x\\Breadth\ of\ Cole's\ backyard=2x\\Hence,\\As\ we\ know\ that,\\Perimeter\ of\ a\ rectangle=2(l+w)\\Hence,\\Here,\\Perimeter\ of\ Cole's\ backyard=2(6x+2x)=2(8x)=16x\\Hence,\\As\ the\ perimeter\ of\ Cole's\ backyard=104\ m,\\104=16x\\x=\frac{104}{16}=6.5\\Hence,\\[/tex][tex]Length\ of\ Cole's\ backyard=6x=6*6.5=39\ m\\Width\ of\ Cole's\ backyard=2x=2*6.5=13\ m\\Here,\\We\ are\ asked\ Length,\\Hence,\\Length\ of\ Cole's\ backyard=39\ m[/tex]

make a math card game

Answers

Answer:

Use Close Call to practice two-digit addition or subtraction. The best math card games are simple at heart. To play Close Call, each player deals themselves four cards then determines how to arrange them so they make two two-digit numbers that add up as close as possible to 100 without going over.

I have no clue but have a great day or night

Find the slope and Y intercept from the equation 12x+3y=6

Answers

Answer:

slope = -4                         y-intercept = (0, 2)

Step-by-step explanation:

12x + 3y = 6

-12x           -12x

-----------------------------------------------

3y = -12x + 6

3y/3 = -12x/3 + 6/3

-----------------------------------------------

y = -4x + 2       ( this is in y = mx + b form, m representing the solpe and b representing the y-intercept)

This being said, the slope = -4 and the y-intercept = (0, 2).

A fair charges a $15 entry fee plus $3 for every
ride. Write an expression to represent the total
cost of the fair? HELLPP

Answers

Answer:

15 + 3r

Step-by-step explanation:

$15 entry fee plus $3 for every

ride.

y'all i need help immediately

Answers

Answer:

Option B

Step-by-step explanation:

Don't trust answers teachers don't bother to spell correctly. Plus, finding the 100th term is very easy.

However, the explicit formula will take a long time to use, because it's explicit.

Option C is just wrong. You're supposed to multiply in the recursive formula.

Option D might be correct, but never trust those answers. Teachers do that to trip you up

Look at the black points on the graph. Fill in the
missing coordinates for y = 2^x.
(0,_) and (_,32)

Answers

Answer:

(0,1) and (5,32)

Step-by-step explanation:

Edg.2020

Answer:

Step-by-step explanation:

What is the equation of a line with slope 5 that contains points (-2,-3)

Answers

Answer:

y-(-3) = 5(x-(-2)

y+3 = 5x+10

y = 5x+10-3

y= 5x+7

Joseph paid $10 for six avocado at a grocery mart he wants to know what the price will be buying different numbers of avocado what is the price of 9 out of avocado ​

Answers

What we need to know is what price will be buying from the different numbers of avocado to know what is the price of 9 out of avocado.

The answer is going to be 5.00 because the price of it for the avocados are 3 because 6 are 10 which all you had to do was divide 10 by 2 so that the answer would be 5.

Answer: $15

9 avocados = $15

Step-by-step explanation:

1 x 3 = 9

5 x 3 = 15

Our Data:

Avocados       Price (dollars)

3                      5

6                      10

9                      15

So, our answer is $15

Bamboo grows at a rate of 3 inches every month. Gina planted Bamboo when it was initially only 11 inches. -Create an explicit formula for this situation. -How tall will the plant be after 6 months?

I’ll give brainliest if you are correct.
Please answerrrrr

Answers

Answer:

Step-by-step explanation:

initial growth = 11

growth in 6 months= 3*6= 18

Final growth = 29 inches (11+18)

Sue walked 3.38 miles. Alex walked five times as many miles as Sue. Dan walked 4.68 miles more than Alex. How far did Dan walk

Answers

Answer:

21.58 miles

Step-by-step explanation:

First let's find how many miles Alex walked.

It said "Alex walked five times as many miles as Sue" so lets multiply 3.38 with 5: 3.38 x 5 = 16.9

So, Alex walked 16.9 miles. Now we can find Dan's.

It said "Dan walked 4.68 miles more than Alex" so lets add 4.68 to 16.9: 16.9 + 4.68 = 21.58

So Dan walked 21.58 miles

time in hours which is greater 5 1/3, 5 3/5, 5 2/3, 5 2/5

Answers

5 3/5 minutes to sleep on falcons in madden king park in the wheelchair park in

Ano ang sagot o product ng 5 at 5 ? A. 15 B. 20 c. 25 D. 25

Answers

id say the answer to your question is c.25

Please simplify: 5x + 2 (x - 3) = -2 (x - 1)

Answers

Answer:

x= 8/9

Step-by-step explanation:

Open everything up to get 5x+2x-6=-2x+2. Move numbers with an x to the left side and without to the right to have 5x+2x+2x=2+6. Simplify to have 9x=8. Divide by 9 which leaves you with x= 8/9

Chris can type 490 words in 7 min how many works can he type PER min
You get 14 points

Answers

Answer: 70 words per minStep-by-step explanation: We just divided 490 by 7 to get how many words he can type for 1 min!

What is the factored form of the expression 9x2 + 6x + 1?

Answers

Answer:

(3x+1)^2

Step-by-step explanation:

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