if EFH = (5x + 1)°, HFG = 62°, and EFG = (18x + 11)°, find EFH

Answers

Answer 1

Given:

Consider the below figure attached with this question.

∠EFH = (5x + 1)°, ∠HFG = 62°, and ∠EFG = (18x + 11)°

To find:

The measure of ∠EFH.

Solution:

From the figure it is clear that ∠EFG is divide in two parts ∠EFH and ∠HFG. So,

[tex]\angle EFG=\angle EFH+\angle HFG[/tex]

[tex]18x+11=(5x+1)+(62)[/tex]

[tex]18x+11=5x+63[/tex]

Isolate variable terms.

[tex]18x-5x=63-11[/tex]

[tex]13x=52[/tex]

Divide both sides by 13.

[tex]x=\dfrac{52}{13}[/tex]

[tex]x=4[/tex]

The value of x is 4.

[tex]\angle EFH=(5x+1)^\circ[/tex]

[tex]\angle EFH=(5(4)+1)^\circ[/tex]

[tex]\angle EFH=(20+1)^\circ[/tex]

[tex]\angle EFH=21^\circ[/tex]

Therefore, the measure of ∠EFH is 21°.

If EFH = (5x + 1), HFG = 62, And EFG = (18x + 11), Find EFH

Related Questions

Evaluate each expression. y − z + xz ÷ 6; use x = 3, y = 4, and z = 4

Answers

answer: 4
work:
4-4+3x4/6=4

A book store sells 10 cookbooks, 18 novels, and 25 children's books on
Saturday. The store sells 6 cookbooks, 12 novels, and 15 children's books on
Sunday. Which ratio is the smallest?
A. Number of novels to children's books sold on Sunday
B. Number of cookbooks to novels sold on Sunday
O C. Number of cookbooks to novels sold on Saturday
D. Number of novels to children's books sold on Saturday

Answers

Answer: d

Step-by-step explanation:

A = 18:25 = 1:1.39

B = 6:12 = 1:2

C = 10:18 = 1:1.8

D = 12:15 = 1:1.25

The smallest ratio is D.

sorry if it's wrong!

Answer:

Step-by-step explanation:

What percent of 2434 is 17?
a 17.0%
b 0.7%
c 14,317.6%
d 7.0%

Answers

Answer:

b.) 0.7%

best of luck!

Which statement about sutter’s work are true?

Answers

Answer:

good question

Step-by-step explanation:

go to google i guess

Answer:

The one that was listed. Unlike the ones on this question.

Step-by-step explanation:

Have

a

good

day

:)

The ratio of yellow to blue skittles in a bag is 5:9. If there are 12 more blue skittles in the bag than yellow skittles, how many yellow skittles are in the bag?

Answers

Answer:

The number of yellow skittles in the bag is 15 yellow skittles

Step-by-step explanation:

The ratio of yellow to blue skittles in the bag is 5:9

The number of blue skittles in the bag = 12 + The number of yellow skittles in the bag

From the ratio of yellow to blue skittles in the bag, we have;

Fraction of the total skittles that are yellow = 5/(5 + 9) = 5/14

Fraction of the total skittles that are blue = 9/14

Whereby placing the number of yellow skittles as Y, and the number of blue skittles as B we have;

The number of blue skittles = Y + 12

The total number of skittles = Y + Y + 12 = 2·Y + 12

Whereby the fraction of the total skittles that are blue = 9/14, we have

9/14 × (2·Y + 12)  = Y + 12

9 × (2·Y + 12) = 14 × (Y + 12)

18·Y + 108 = 14·Y + 168

18·Y - 14·Y = 168 - 108 = 60

4·Y = 60

Y = 60/4 = 15

∴ The number of yellow skittles in the bag = 15

The number of blue skittles is given as = Y + 12 = 15 + 12 = 27.

So this is asking me to order the numbers from least to the greatest can anybody please help me???​

Answers

Answer: Open the image 1 wrote the numbers on top.

Step-by-step explanation:

Please help I will give brainliest

Answers

Answer:

m = 14

p = 64

n = 32

Step-by-step explanation:

11m = 154

m = [tex]\frac{154}{11}[/tex]

m = 14

180 - p = 116

180 - 116 = p <- as you noticed, the negative sign changed to a positive one, cuz p moved to the other side of the equal sign.

64 = p

n + 86 = 118

n = 118 - 86

n = 32 <- same thing happened here, except the positive changed to a negative.

Given segment AC and point B that lies on AC, if AB = 9 and BC= 49, find AC

Answers

Answer:

58

Step-by-step explanation:

Let's draw this out (see attachment).

We know that since B lies on AC, we have the points in order from left to right: A, B, C.

AB = 9, which is the left portion. BC = 49, which is the right portion. Then AC is simply the sum:

AC = AB + BC = 9 + 49 = 58

The answer is thus 58.

~ an aesthetics lover

HELP ME PLEASE!!

The cross section area of a brick wall that is shaped as
right-angled triangle is 12m² and the height is 6 metre.
Calculate the gradient and the area of the slanted surface
of the stone wall.​

Answers

Answer:

14.42 m²

Step-by-step explanation:

h = 6 mS = 12 m²

S = 1/2bh ⇒

b = 2S/h = 2*12/6 = 4 m

Gradient:

√(6²+4²) = √52 = 7.21 m

Area of slanted surface:

7.21 m* 2 m = 14.42 m²

Answer:

14.42 m²

hope it helped:D

what is the answer (2x + 6) = c​

Answers

Answer:

X=3

C=12

Step-by-step explanation:

(2x+6)=c

2x+6

x=2/6

x=3

2x3+6=c

c=12

Answer:  

Isolate the variable by dividing each side by factors that don't contain the variable.

x= c/2-3

 

 

If y = 21, when x = 7, find y when x = 28.

Answers

Answer:

84

Step-by-step explanation:

x=7 x=28

y=21 y=84

is simple ratio problem

Answer:

Answer: y = 21

Answer: y = 21 when x = 7

Answer: y = 21 when x = 7so x = 28

Answer: y = 21 when x = 7so x = 28 then y = 84

Answer: y = 21 when x = 7so x = 28 then y = 84Step-by-step explanation:

Answer: y = 21 when x = 7so x = 28 then y = 84Step-by-step explanation:y = 84 = 21 × 4

Answer: y = 21 when x = 7so x = 28 then y = 84Step-by-step explanation:y = 84 = 21 × 4x = 28 = 7 × 4

An airline charges $150 for a ticket and $20 for each bag. Which equation shows the relationship between the number of bag, b , and the total cost, c , for flying with this airline?

Answers

Answer:

c = 150 + 20b

Step-by-step explanation:

Given:

Ticket charges = $150

Each bag carry cost = $20

Find:

Relationship between bag(b) and cost(c)

Computation:

⇒ Total cost = Ticket charges + $20(number of bags)

⇒ c = 150 + 20(b)

c = 150 + 20b

what is the answer to a0 + (-7) = 3

Answers

Answer:

a0 = 10

Step-by-step explanation:

We simply want to isolate the variable, a0, so we can find the value in which satisfies this equation:

a0 + -7 = 3

a0 + -7 + 7 = 3 + 7

a0 = 10

Cheers.

I need help what is 3+2x^3 when x=2

Answers

3+2(2)^3
=3+2(8)
=19

Hope this can help.

if Chicago supplies 1388.8888889 of water each second, how many ft per second​

Answers

Answer:

1388.8888889

Step-by-step explanation:

First of all, this looks like a problem that is incomplete. You never gave the unit of how much water they supplied, and there is not supposed to be that many decimal places. Also, a foot is a term of measurement, not volume. However, if I assume that the unknown object supplied is cubic feet, it would be 1388.8888889 cubic feet per second.

determine the domain and the range of the relation.
(-3,1), (4,2), (-3,6), (5,6)​

Answers

Answer:

Domain (-3, 4, 5)

Range (1, 2, 6)

Step-by-step explanation:

Domain is your x so all of the values that can go into a relation or function (which is your input) are called Domain. Domain is also all of the set of elements of ordered pair ( which is the x coordinates).

Range is your y so all the values that can go into a relation or function ( which is your output) are called Range. Range is also all the set of second elements of ordered pair ( which is the y coordinates).

So, basically you just look at all the number that come first so say you have

(1,2), (2,3), (3,4)

Your first numbers to each point are (1, 2, 3) which is your Domain

then look at the second number which are (2, 3, 4) which is your Range.

Hope this helps!

a small submarine is at an elevation of -30 feet compared to sea level. what is its elevation after it ascends 9 feet? PLEASE HELP!!!!!!!!!!!!!!!!!!!!!! WILL GIVE BRAINLIEST AND 5 STAR TO WHOM WHO ANSWERS IT CORRECTLY!!!!!!!!!!!!!!!!!!!!!!!!!!!! NO GUESSES!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

-21 feet

Step-by-step explanation:

-30 + 9 = -21

Answer:

_______

-21 feet

_______

3) A gardener has 75 clients, 45% of whom are businesses. Find the number of business clients. A) 34 clients B) 41 clients C) 73 clients D) 36 clients

Answers

Answer:

A) 34 clients

Step-by-step explanation:

From the information given, to be able to determine the number of business clients you have to calculate the 45 percent of the total number of clients that is 75:

75*45%= 33.75→ 34

According to this, the answer is that the number of business clients is 34.

|3n+2|+4=0 algebra 2

Answers

I3n+2I+4=0

3n+2+4=0

3n+2=0-4 = -4

3n+2= -4

3n= -4 - 2 = -6

3n= -6

n= -6/3

n=-2

if gas cost $3.00 per gallon, what factors will determine how much gas you purchase?

Answers

Answer:

If you are on a budget it depends if you want to purchase $50 or another amount, while if you want to fill up the gas tank it depends on the cars' capacity. Some cars can take up to 11 gallons of gas, so if wanting to fill up the tank you would need to spend $33.

Hope this helps!

Solve for x. Show steps.

1. 3x = 2x + 2

2. 3x + 5 = 4x + 1

3. 6x + 3 = 3x + 12​​

Answers

Answer:

1: x=2, 2: x=4, 3:x=3

Step-by-step explanation:

They are correct because i checked them

can y’all please help meeeee
i would really appreciate it :)

Answers

Answer:

its 10

Step-by-step explanation:

Answer:

[tex]f^{-1}[/tex](x) = (x - 2)² - 6

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = [tex]\sqrt{x+6}[/tex] + 2 ( subtract 2 from both sides )

y - 2 = [tex]\sqrt{x+6}[/tex] ( square both sides )

(y - 2)² = x + 6 ( subtract 6 from both sides )

(y - 2)² - 6 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus

[tex]f^{-1}[/tex](x) = (x - 2)² - 6

What is the final point of (-2,1) Up 4, right 6 then reflect across the x-axis

Answers

The final point would be ( 4,-5)

What is the product of (–0.5)(–1.2)(–5.22)?

Answers

Answer:

-31.32

Step-by-step explanation:

(–0.5)(–1.2)(–5.22)

6(-5.22)

=>-31.32

1st answer gets brainliest what is 17/12 + 11/12

Answers

Answer:

7/3

Step-by-step explanation:

17/12+11/12

28/12

=>7/3

two figures are similar and the scale factor is 2/3. If a side of the larger figure is 12, then the corrosponding side in the smaller figure is? 6 8 12 18

Answers

Answer:

8

Step-by-step explanation:

Since you referred to a scale factor of 2/3, and the fact that the side of the larger figure is 3, we know that the ratio of the smaller figure to the larger figure is 2/3. We can then find that the corresponding side of the smaller figure is 8.

Answer:

The guy above me is right, it is 8!

Step-by-step explanation:

I got the answer correct.

Johnny's backyard measures 15. wide by 10 feet long. What is the area of Johnny's
backyard in square feet?
square feet.

Answers

Answer:

150

Step-by-step explanation:

To find the area, you have to multiply by the length and width.  

L = 10

W = 15

15 x 10 = 150

Hope this helps! <3

1.5 square feet. 1.5x10=15

What number when increased by 15% becomes 299 Please help willl mark brainest!

Answers

Let's make an equation with the information given.

A 15% increase in a number means that the number was multiplied by 1.15.

[tex]1.15x=299[/tex]

[tex]x=260[/tex]

Hope this helps.

頑張って!

Answer:

260

Step-by-step explanation:

Let's call the number x.

When x is increased by 15% it is equal to 299. The number itself is 100%, so we should multiply x by 115%. Convert 115% to a decimal. Divide 115 by 100 or move the decimal place two spots to the right.

115/100= 1.15                                 or                        115.0 --> 11.5 --> 1.15

When x and 1.15 are multiplied they should equal 229. Set up an equation.

1.15x=229

We want to solve for x. Therefore, we must isolate x on one side of the equation. x is being multiplied by 1.15 The inverse of multiplication is division. Divide both sides of the equation by 1.15

1.15x/1.15=229/1.15

x=229/1.15

x=260

When 260 is increased by 15% the result is 299.

The pizza you ordered for your party has been split into 12 even slices. Every slice has either
pepperoni, chicken, or sausage. If 1/3 of the pie has pepperoni, and 2/4 of the pie has chicken, how many
SLICES of the pie have sausage?

Answers

Answer:

2 slices of pizza is sausage

Step-by-step explanation:

1/3 of pizza is 4 slices(pepperoni)

2/4 of pizza is 1/2 which is 6(chicken)

There are 12 slices in all so 12-(6+4) = 2 sausage

A relation is given below. {(0, 0), (2, 0.5), (4, 1), (3, 1.5), (4, 2), (5, 1.5), (6, 8)} Which ordered pair can be removed to make this relation a function? Why would removing this ordered pair make the relation a function? I have already learned that the one removed is (4,1) A relation is given below. {(0, 0), (2, 0.5), (4, 1), (3, 1.5), (4, 2), (5, 1.5), (6, 8)} Which ordered pair can be removed to make this relation a function? Why would removing this ordered pair make the relation a function? this not inout and out can not be the same

Answers

Answer:

The first one is 4,1 and then every input must be paired with exactly one output

Step-by-step explanation:

Answer:

The first one is 4,1 and then every input must be paired with exactly one output

Step-by-step explanation:

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