In triangle EFG, angle E equals 8x-16, angle F equals x+8, and angle G equals 2x-10. What is the value of x?

Answers

Answer 1

Answer: The value of x= 18

Step-by-step explanation:

Given: In triangle EFG, angle E equals 8x-16, angle F equals x+8, and angle G equals 2x-10.

The sum of all angles of a triangle is 180°.

Therefore, in triangle EFG

∠E + ∠F +∠G= 180°

⇒ 8x-16 +x+8+ 2x-10 =  180

⇒ 11x-18= 180

⇒ 11x = 180+18

⇒11x=198

⇒ x= 18   [Divide both sides by 11]

Hence, the value of x= 18


Related Questions

Which is the answer?

Answers

Answer:

im pretty sure the answer is B

Step-by-step explanation:

If the perimeter of a rectangular picture frame must be less that 200 in, and the width is 36 in. what must the height H of the frame be?

Answers

Answer:

w = width

h = height

2(w+h) < 200

w + h < 100

since w = 36, then

36 + h < 100

h < 100 - 36

h < 64

Step-by-step explanation:

The perimeter of the rectangular picture frame can be calculated by the equation,

                                 2h + 2w = P

where h and w are height and width , respectively. Substituting the known values and the condition for the inequality,

                                2h + 2(36 in) < 200

The inequality gives h as,

                                          h < 64

Thus, the answer is letter A.

Which is the decimal form of
7/11 rounded to the nearest tenth?

Answers

Answer:

.6

Step-by-step explanation:

7/11 would be around .63, rounded to the nearest tenth is .6,

Answer:

The answer would be .6

Step-by-step explanation:

Hope this helps

please answer the questions that are attached will give extra points!

Answers

Thank you very much and this “question” was very helpful for me.

Help!!
What is the relationship between the corresponding angle bisectors BD and XZ?

Answers

Answer:

XZ = 2.5 BD

Step-by-step explanation:

Comparing the two triangles,

[tex]\frac{BD}{BC}[/tex] = [tex]\frac{XZ}{XY}[/tex]

[tex]\frac{6}{8}[/tex] = [tex]\frac{XZ}{20}[/tex]

⇒ XZ = [tex]\frac{20*6}{8}[/tex]

         = 15

XZ = 15

So that,

BD:XZ = 6:15

           = 1:2.5

Therefore, the relationship between BD and XZ is XZ = 2.5 BD.

I am multiple of 20 i have 3 digits my hundreds digit and tens digit add to make 9 half of me is less than 100 what am i

Answers

Answer:

180

Step-by-step explanation:

Given :

the number has three digits

it is multiple of 20

hundreds digit and tens digit add to make 9

half of it is less than 100.

I suppose 180 can correctly fit into all above criterions

It is 3 digit number. 1+8 =9, 180/2 =90 which is less than 100.

9. Christina baked 1 dozen chocolate cupcakes and 18 vanilla cupcakes. What is the ratio of vanilla cupcakes to chocolate cupcakes?
18:1
3:2
3:5
12:18​

Answers

Answer:

3:2

Step-by-step explanation:

Micheal changed $600 into pounds when the exchange rate was 1 pound equals to 2.40 dollars. He later exchanged all the pounds back to dollars when the exchange rate was 1 pound is equal to 2.60 dollars

Answers

The total would be 1,000

Please help me with this pleasee i give brainliest.

Answers

Answer:

s= 7/4

y=14

Step-by-step explanation:

Answer:

The rate at which the snow was melting per hour

Step-by-step explanation:

can someone correct me I’m kinda bad at this plz I beg u

Answers

Answer:

First one-3

Second one-0

Last one-12

Step-by-step explanation:

Six times a number minus four is two times a number more than four.

Answers

Answer:

negative fourteen I THINK I DONT KNOW FOR SURE

Step-by-step explanation:

mm

Answer:

the equation in numbers looks like this: 6xK-4=2xK+4 and if you are solving this equation it is equal to 0

Step-by-step explanation:

to get to 0 you first need to cancel out the equal terms on both sides so it should look like this: 6K=2K

then you move the variable to the left hand side and change its sign so it should look like this:6K-2K=0

then you collect the like terms so it should look like this: 4K=0

and then you divide both sides by 4 and it should get you K=0

find the value of x plz

Answers

Answer:

The degree for all triangles is 180 so

The 55 angle is the same on both sides so

55+55=110

To find x we subtract 180-110 and that equals 70

(answer=70 degrees)

Step-by-step explanation:

If a x b = 2a - 3b + ab, then 3 x 5 + 5 x 3 is equal to?
A. 20
B. 22
C. 24
D. 26

Answers

Answer:

B. 22

Step-by-step explanation:

3 * 5 + 5 * 3 = (2 * 3 - 3 * 5 + 3 * 5) + ( 2 * 5 - 3 * 3 + 5 * 3)

                   = (6 + 10 - 9 + 15) = 22.

Answer:

B. 22

Step-by-step explanation:

9.
Write a function rule for each table.


Days
1
2
3
4
Cost to Rent a Truck
34
50
66
82

A. c = 16d + 16

B. c = 16d + 18

C. c = 16d

D. c = 18d + 16

Answers

Answer:  B. c = 16d + 18

I'm gonna go with c = 16d + 18

Step-by-step explanation:  letter B or letter D

Answer

5.0/5

6

Brainly User

Days : 1    2    3    4 →→→→→→D(X axis)

Rent a Truck:  34   50  66    82→→→→→→R(Y axis)

As  you can observe from number of Days and Amount to rent a truck , if you rent for a day the price being $ 34 and with increase in Day the rent increases by $ 16.

Plotting the point on graph , found that these points are collinear.

So, we can Represent this relation between days and Rent in equation of two variables representing a line.

Two point formula of line:

 →→Equation of line passing through two points  

So , line representing Days and rent is :

So, the rule representing Days and Rent is:  16 D - R + 18=0

...............................................................................................................................................

The answer is 18

If you subtract 47-29=18

Then if you subtract 47-65=18 the pattern is to add 18

The middle person in a row is the 18th, how many persons are in the row?

Answers

Answer:

35

Step-by-step explanation:

You have 17 either side to make 18 the middle e.g if 2 was the middle then you have 1 either side.

Answer:

36

Step-by-step explanation:

if 18 is the middle there are 17 on each side of that person so 17+17+1=36

5x - 7= 3??? plz help

Answers

Answer:

x=2

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

5x - 7 = 3

    + 7     +7       -7 cancels

5x = 10

/5      /5   5 cancels and you're left with x

x  =  2

please help‼️
what’s the perimeter of a rectangle with 6x+10 as it’s width and 4x+1 as it’s length

Answers

Answer:

the equation will be  2(6x+10+4x+1)

simplified to

12x+20+8x+2

simplified to

20x+22

The perimeter of the rectangle will be 20x+22

Thank you, Hope it helps

Answer: The length of both sides would be 12x+20 and the width of both sides would be 8x+2, so the perimeter of the rectangle would be 20x+22

Show work A circular pond has a circumference of about C feet. The diameter of the pond is 7 feet. Which expression best represents the value of pi?

Answers

Answer: 7

Step-by-step explanation:

7x1x1=7/1=7

Expand and simplify

5(2p-3)-2(2+3p)

Answers

4p-19
You need to distribute the 5 first then the -2
you will get 10p-15-4-6p
then all you need to do is combine like terms to get 4p-19

which value is equivalent to 7 to the 3rd power

Answers

Answer:

343

Step-by-step explanation:

7³ = 7 × 7 × 7

= 343

I need to write an algebraic expression that includes 2 constatants, 2 variables, and 2 different operations. It also need it in word form as well as number form. NEED HELP ASAP BEEP HELP ASAP

Answers

Answer:

An example would be

(x+3)-(y+12)

The two constants are 3 and 12 (I'm assuming you meant "constant" as in the number that stands by itself and not "constatant" lol)

The two variables are x and y

The two operations are addition and subtraction

In words you could say "the quantity of x plus three minus the quantity of y plus twelve"

the measure of t=90 degrees, rs=4.8 feet , and st=2.4 feet find the measure of r to the nearest degree

Answers

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:delta math

Find the slope of the line above.
m =?

Answers

m = -2/3
just do rise over run

What dose 25.76 + 35.95=

Answers

Answer:

61.71

Step-by-step explanation:

Answer: 61.71

Step-by-step explanation:

1/4 (dot) 3/5 simplifily

Answers

Answer: 1/20 (fraction) or 0.05 (decimal)

Step-by-step explanation:

first i like to make them a decimal so its easier.

1/4 = 0.25

1/5 = 0.2

multiply 0.25 and 0.2 = 0.05

make 0.05 a fraction

1/20

simplify. (it's already in its simplest form)

the answer is 1/20 as a fraction or 0.05 as a decimal.

(i dont know which one ur teacher wants u to do fraction or decimal?)

The diagram shows a cube of side length 2 cm.
2 cm
2 cm
2 cm
Vera says,
"The volume of any solid made with 6 of these cubes is 48 cm"
Is Vera correct?
(2 marks)
Yes
No

Answers

dont mind this its just to ask a question

Answer:

is YES

Step-by-step explanation:

A laundry detergent box measures 12 inches by 8 inches by 2 inches. What is the volume of the box of detergent?

Answers

The answer is 12x8x2 so it would be 192

Answer:

Step-by-step explanation:

The answer is 12x8x2 so it would be 192

⅕ + ⅕ + ⅕ +⅕

6 x ⅕

Which is GREATER?

Answers

6 x 1/5 is greater
bc the first one is 4 x 1/5
and 6 is greater than 4

A circular pool at a water treatment facility has a radius of 6 meters. Approximately how long is the outer rim of the pool? (Use 3.14 for π.)
a. 40 m b. 60 m c.80 m d.160m

Answers

Answer:

Step-by-step explanation:

length of outer rim = circumference = 2π(radius) = 12π meters ≅ 37.68 meters

So none of the choices is correct.

The vertex of this parabola is at (3, 5) . When the y-value is 6, the x-value is - 1 What is the coefficient of the squared term in the parabola's equation? (3, 5) A. -4 B. 4 C. 2 D.2

Answers

Answer:

The correct approach is Option A (-4).

Step-by-step explanation:

The given values are:

Vertex of the parabola,

(h, k) = (3, 5)

Passing through,

(x, y) = (-1, 6)

As we know,

The equation of parabola is:

⇒  [tex]x=a(y-k)^2+h[/tex]

On substituting the given values in the above equation, we get

⇒  [tex]-1=a(6-5)^2+3[/tex]

⇒  [tex]-1=a+3[/tex]

On substracting "3" from both sides, we get

⇒  [tex]-1-3=a+3-3[/tex]

⇒           [tex]a=-4[/tex] (coefficient of squared term)

Thus the above is the right choice.

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