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

Answer:

x=25°

y=25°

Step-by-step explanation:

E^+F+EG^F=180°(sum of int. angles of triangle)

x+35+90+30=180

x=180-90-30-35

×=25

HE^G+H+G=180° (sum of int. angles of triangle)

35+30+y+90=180

y=180-90-35-30

y=25


Related Questions

Why were new trade routes needed in the fifteenth century?

Answers

Answer:

In the 15th century, Europe sought to expand trade routes to find new sources of wealth and bring Christianity to the East and any newly found lands. This European Age of Discovery saw the rise of colonial empires on a global scale, building a commercial network that connected Europe, Asia, Africa, and the New World.

Set up a proportion and solve the following!

Two out of five students in the ninth grade have braces. If there are 325 students in the ninth grade, how many have braces?

Answers

I solved it using direct proportionality method , pls make sure it’s correct!!!

Jenny peddled her bike 30 miles in 40 minutes. If she traveled at the same speed, how far would she travel in 3 hours?

Answers

Answer:

Jenny cycles the grand distance of 29 and one third of a mile.

Step-by-step explanation:

I want to answer this using fractions and without multiplying by an awkward recurring decimal.

Cycling 11 miles in 45 minutes and continuing at the same speed means she will go 22 miles in 90 minutes

To scale up 90 mins to the required 120 mins (2 hours) multiply by 4/3.

22 x (4/3) = 88/3

Jenny will travel 88/3 miles in 2 hours.

Not happy with top heavy fractions?

Let's round up 88/3 to 90/3 by adding 2/3.

90/3 = 30 and to get back to the answer we just take away the two thirds we added when rounding up.

Jenny cycles the grand distance of 29 and one third of a mile.

I think that is the correct answer.

Consider two lines having the following equation:​

12y-6x=12 line 1​

8y+4x=16 line 2​

Answers

Answer:

x = 1 and y = 1.5

Step-by-step explanation:

Given that,

12y-6x=12 ..... 1​

8y+4x=16 ...... 2​

Equation (1) can be written as :

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

Equation (2) can be written as :

2y + x = 4 .... (4)

Adding equation (3) and (4)

2y-x + 2y + x = 2 + 4

4y = 6

y = 1.5

Put y = 1.5 in equation (3).

2(1.5)-x = 2

3-x=2

x =1

Hence, the solution of the above equations are (1,1.5).

to divide the following equation how would we revise the problem? 7.82 divided by .25

Answers

Answer:

Solution in photo

Step-by-step explanation:

evaluate and simplify
4a - 2(a + b) + 1 = ? a=2 b=4

Answers

Answer:

-3

Step-by-step explanation:

4(2)-2(2+4)+1=8-2(6)+1=9-12=-3

Answer:

13

Step-by-step explanation:

4a-2=4×2-2=6

6(2+4) =6×6+1

Jeremy 3 pounds of ground beef to make hamburgers how many 1/3 pound hamburgers can he make?

Answers

Answer:

its 9

Step-by-step explanation:

3x1/3 you don't do nothing with the 1 so don't

multply it then what you do is 3x3 then you get 9

hope it helps!

Please help, thanks.
-Tornado

Answers

Answer:

Conclusion:

-a-1 will be positive.

Step-by-step explanation:

Checking -a - 1

From the given line number, we can determine that

The value of a will be negative because it is located on the left side of the origin 0.

i.e. value of a > -2

so

-a - 1 will be positive because if we put the value a = -1.5 let say

then

-a - 1 = -(-1.5) - 1 = 1.5 -1 = 0.5

Therefore, -a-1 will be positive.

Checking -b + 2

As b > 2

putting b = 2.1        (taking the value of b slighly above than 2)

-b+2 = -2.1+2 = -0.1

Therefore, -b + 2 will be negative.

Conclusion:

-a-1 will be positive.

. Tickets to a baseball game are $20 for an adult and $15 for a student. A school buys tickets for 45 adults and 600 students. How much money will the school spend for the tickets?



Do not include the dollar sign ($) in your answer.

Answers

Answer:

Step-by-step explanation:

900 for adults 9000 for kids in all 9900

Answer:

20 X 45=900 + 15 X 600=9000

the answer is 9900

Step-by-step explanation:

What is the measure of AC (the minor arc)?

Answers

Answer:

I think the answer is 124 though I'm in 8th grade . I have completed algebra 1.

Step-by-step explanation:

The other side of the circle has four minor arcs since they each measure less than  180 .

Tony borrows $7,000 from his friend Joe at a rate of 5% interest rate for 4 months. What is the total that needs to be repaid after this time to the nearest dollar?

Answers

Answer:

I belive 14,203

Step-by-step explanation:

Antonio can run 22.5 miles in 1/3 hour what is his average speed in miles per hour

Answers

Answer:

22.5 divided by 3=7.5

Step-by-step explanation:

Literally I really need this question pls help points and brainlest

Answers

Answer:

C

Step-by-step explanation:

Can I get brainliest

C because it is the only option that depicts 2 blue marbles and one red one

Answer:

Step-by-step explanation:

whatever nobody cares and that person gave you the wrong answer

Using the pencil, plot the point (-1,-5).

Answers

Just remember the negative numbers go in this coordinate problem goes in the left -1 is the x axis and -5 is the y axis. Here I set it up so that you’d understand what’s going on

Find any points of discontinuity for y = 5x+6/x2+6x+9

Answers

Answer:

x = -3 is the point of discontinuity.

Hence, option B is correct.

Step-by-step explanation:

Given the expression

[tex]y=\frac{5x+6}{x^2+6x+9}[/tex]

In order to determine the discontinuity, the denominator must be 0.

so let us solve the denominator to get the values of x

[tex]x^2+9x+9\:=0[/tex]

[tex]\left(x+3\right)^2=0[/tex]

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]x+3=0[/tex]

Subtract 3 from both sides

[tex]x+3-3=0-3[/tex]

[tex]x = -3[/tex]

Therefore, x = -3 is the point of discontinuity.

Hence, option B is correct.

The price of a shirt was reduced from $40 to $28. By what percentage was the price of the shirt reduced?

Answers

Answer:

10% of 28=2.8

40% of 28=11.2

Step-by-step explanation:

11.2

Answer:

12

Step-by-step explanation:

Which expression is equivalent to 60 - 3y - 9?


A: 3(17 - y)

B: 3(20 - y) -3

C: 17(3 - y)

D: 20(3 -3y) -9


Answers

Answer:

the answer has to be 3(17-y)

Step-by-step explanation:

I'm pretty sure about that cause what I did at first is subtract the numbers.

60-3y-9

=51-3y

factor our 3 from the expression.

3(17-y)

Answer:

option A

Step-by-step explanation:

the expression given is equal 60-3y-9= -3y+51

The option A doing the distributive property will give you the same answer

3(17) and 3(-Y) = 51 - 3y

Steven went to the store and bought five sweatshirts. He spent $45. What was the price of each shirt?

Answers

Answer:

$8

Step-by-step explanation:

Answer:

it is 9 dollars

Step-by-step explanation:

you do 5 x x =45 x is 9

4 pairs of pants for 22.60. what is the unit rate?​

Answers

Answer:

$5.65

Step-by-step explanation:

Divide 22.6 / 4.

5.65

Best of Luck!

help plz thx soo much ​

Answers

c. $8

$120x 10% tax ($12) = $132 from $140 is $8 change

Linearize the data. Then find the least squares regression equation.
HELP

Answers

Answer:c

Step-by-step explanation:

Answer: D

Step-by-step explanation:

What is the surface area of a cone with a height of 15 and the diameter of 12?

Answers

Answer:

417.62

[tex]A=πr(r+\sqrt{x} h2+r2)[/tex]Step-by-step explanation:

because radius is half of diameter and then you would use this equation to solve


300 fifth graders at Benson Elementary School, 40% signed up for an after-school activity. How many students signed up for an
after-school activity?
A 40
B 80
C 120
D 160

Answers

c is the correct answer

PLEASE HELP ME!!! taking a test rn & need help!!!!

A sample of 600 grams of a radioactive substance decays according to
the function At=600e-0.036t, where t is the time in years. How much of the
substance will be left in the sample after 30 years? Round to the nearest
whole gram.

A. 0 g
B. 2947 g
C. 204 g
D. 1 g

Answers

Answer:

After 30 years 204 g of the substance will be left.

Option C is correct option.

Step-by-step explanation:

The function given is: [tex]A=600e^{-0.036t}[/tex]

where t is time in years.

We need to find how much of the  substance will be left in the sample after 30 years?

So, we have t= 30

Putting value of t and find value of A

[tex]A=600e^{-0.036t}\\A=600(\frac{1}{e^{0.036*30}})\\A=\frac{600}{e^{1.08}} \\A=\frac{600}{2.94467}\\A=203.75 \approx 204[/tex]

So, After 30 years 204 g of the substance will be left.

Option C is correct option.

PLS HELP MEEEEEEE
1/2 servings are in a box of oatmeal that contains6 3/4 cups of oatmeal.

Answers

Answer: B) 13 & 1/2

========================================================

Explanation:

There are a few ways to approach this problem. It might be easiest to convert all the fractions to decimal form

1/2 = 0.5

3/4 = 0.75

6 & 3/4 = 6 + 3/4 = 6 + 0.75 = 6.75

The problem is rephrased as: "How many 0.5 cup servings in a box of oatmeal that contains 6.75 cups of oatmeal?"

To find out, we divide the two values (large over small) to get 6.75/0.5 = 13.5

Then convert back to a mixed number:

13.5 = 13 + 0.5 = 13 + 1/2 = 13 & 1/2

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

Side note: The reason why we divide is due to this

x = number of servings

0.5x = total number of cups = 6.75

So we're effectively solving the equation 0.5x = 6.75, in which we divide both sides by 0.5

Help please i need some help

Answers

#1: -13

#2: 169

#3: 56.333...

hope this helps xoxo

Given |u| = 10 at ∠135° and |v| = 5 at ∠30°, what expression can be used to find |u + v|?

(10)2 + (5)2 – 2(10)(5) cos(45°)
(10)2 + (5)2 – 2(10)(5) cos(75°)
(10)2 + (5)2 – 2(10)(5) cos(105°)
(10)2 + (5)2 – 2(10)(5) cos(165°)

Answers

Answer:

B, [tex]10^{2} + 5^{2}- 2(10)(5)cos(75)[/tex]

Step-by-step explanation:

Using the law of cosines, which is [tex]c^{2}=a^{2}+b^{2}-2ab cos(C)[/tex], you can simply insert all the values.

c=|u+v|

a= r value of u (10)

b= r value of v (5)

To find  C, you simply have to subtract v from u, and then subtract that number from 180 to find the reference angle.

I.E.: ∠135 - ∠30 = ∠105 ↔ 180 - 105 = 75 =  C

so, the completed equation would be 10^{2} + 5^{2}- 2(10)(5)cos(75)

Answer:

its B

Step-by-step explanation:

Just got it right on edge

he elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?

x + 3y = 42
2x − y = 14

A.
Multiply the second equation by -3. The solution is x = 12, y = 9.
B.
Multiply the second equation by -2. The solution is x = 12, y = 10.
C.
Multiply the second equation by 2. The solution is x = 15, y = 9.
D.
Multiply the second equation by 3. The solution is x = 12, y = 10.

Answers

Answer:

D. Multiply the second equation by 3. The solution is x = 12, y = 10.

Step-by-step explanation:

First, look at the y variable of the first equation. It is 3y.

To solve by elimination, the variables have to add together to 0.

So, -3y needs to be added to -3y to eliminate the y variable.

The second equation has the y variable of -y, so it has to be multiplied by 3.

So, answer choice D is the correct answer.

What is the following product?
(xsqrt7-3sqrt8)(xsqrt7-3sqrt8)

Answers

Answer:

7x^2 -12x(sqrt 14) + 72

Step-by-step explanation:

Use foil and you get

x^2(7) - (3x(sqrt56))+(-3x(sqrt56))+ 9(8)

= The inner terms simplify to -6x(sqrt14) + (-6x(sqrt14)) = -12x(sqrt14)

so answer is

7x^2 -12x(sqrt 14) + 72

846.27 divided by 0.22

Answers

Answer:

3846.68182

Step-by-step explanation:

3,846.681818181818 is your answer
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