Triangle ghj has the exterior angles shown below. triangle g h j. the exterior angles are (9 x 6) degrees, (10 x 7) degrees, (10 x minus 1) degrees. for triangle g h j, what is the value of x? 2.7 5.8 12 29

Answers

Answer 1

The sum of all the angles of a triangle is equal to 180°. The value of x is 12.

What is the sum of all the angles of a triangle?

The sum of all the angles of a triangle is equal to 180°.

What is the exterior angle?

The Exterior Angle is the angle formed by either of a shape's sides and a line drawn from the opposite side.

We know that in a triangle the sum of the exterior angle and the interior angle is 180°. Therefore, the following angles of the triangle can be written as,

[tex]\angle H=180-(9x+6)[/tex]

[tex]\angle G=180-(10x-1)[/tex]

[tex]\angle J=180-(10x+7)[/tex]

Now, the sum of all the angles of the triangle is 180°, therefore, the sum can be written as,

[tex]\angle H+\angle G+\angle J=180^o\\\\180-(9x+6) + 180-(10x-1) + 180-(10x+7) = 180\\\\540-(9x+6)-(10x-1)-(10x+7)=180\\\\540-180 = (9x+6)+(10x-1)+(10x+7)\\\\360=9x+6+10x-1+10x+7\\\\360=29x+12\\\\360-12=27x\\\\x = 12[/tex]

Hence, the value of x is 12.

Learn more about Exterior Angle:

https://brainly.com/question/2125016

Answer 2

Answer:

12

Step-by-step explanation:

Triangle Ghj Has The Exterior Angles Shown Below. Triangle G H J. The Exterior Angles Are (9 X 6) Degrees,

Related Questions

Marking Brainly + 5 stars if correct!

State whether the ratios are proportional.

3:5 and 1:3

6:15 and 2:5

2:3 ___ 4:1

Answers

3:5 and 1:3 is not proportional

6:15 and 2:5 is Proportional

2:3 and 4:1 is not proportional

ok here is other from a PowerPoint
please help

Answers

Answer:

Step-by-step explanation:

slide 1. match all the phrases with algebraic expressions

answers:

purple tile goes in 1 columnorange tile goes in 1 columnyellow tile goes in 3 columngreen tile goes in 4 columnred tile goes in  1 columnblue tile goes in 2 columnlite purple tile goes in 3 columnlite blue tile goes in 3 columndark green tile goes in 4 columnpurple tile goes in 4 column

slide 2.

orange tile goes in 2 columnblue tile goes in 1 columnlite blue tile goes in 3 columnpink tile goes in 1 columnlite green tile goes in 4 columnyellow tile is covered so I can't answer that one , sorrydark green tile goes into 4 column lite purple tile goes into 4 columnpurple tile goes 1 columnred tile goes 3 column

slide 3.

w x 2w-4w/6w+5w-3w/1

slide 4. im going down in each column

pink?orangeyellowlite greendark purplelite purple?reddark greenbluenavy bluish greenish

Phewwwww this took so long. hope it helps

A poll worker analyzing the ages of voters found that Mu = 65 and Sigma = 5. What is a possible voter age that would give her zx = 1. 14? Round your answer to the nearest whole number.

Answers

A poll worker analyzing the ages of voters found that  [tex]\mu =65[/tex]     [tex]\sigma=5[/tex] the possible voter age at Zx=1.14 will be around 71.

What is a possible voter age that would give her Zx = 1. 14?

It is given that

[tex]\rm Mean\ \mu=65[/tex]

[tex]\rm standard \ deviation \ \sigma =5[/tex]

[tex]\rm X= Ages\ of \ the \ workers[/tex]

From the Z-score concept, we know that

[tex]Z=\dfrac{x-\mu}{\sigma}[/tex]

[tex]x=\sigma Z+\mu[/tex]

putting the values

[tex]X=5\times 1.14+65=70.7[/tex]

Thus A poll worker analyzing the ages of voters found that  [tex]\mu =65[/tex]     [tex]\sigma=5[/tex] the possible voter age at Zx=1.14 will be around 71.

To know more about the Z-score concept follow

https://brainly.com/question/14777840

Which of the following could be the side lengths of a right triangle? ​

Answers

Answer:

To have a right triangle, the side lengths should make Pythagorean theorem true

Since the hypotenuse is always the longest side of a triangle, the biggest number will be c

Set the rest two numbers as a and b

Use a^2 + b^2 = c^2 to plug in the numbers

If you get true equation, meaning you have the same number on the left and right sides of equation, then it is going to create a right triangle

Write something nice about somebody you hate.

Answers

i like your eyes they sparkle like the night sky even though you left me and stabbed me in the heart after i worshipped the ground you walked on ,

Select the correct answer.
What is the approximate sum of this series

Answers

Answer:

A. 134. 83

Step-by-step explanation:

1)  5(4/3)^(8-1) / (4/3-1)

2)  5(9.98872-1) / (1/3)

3)  44.9436 / (1/3)

4) 134.83

what 5 dived 1/2 pls help me

Answers

Answer: 5 divided by 1/2 is 10

Step-by-step explanation:

5 x (1/2) = 10/1 = 10

Multiplying the first fraction by the reciprocal value of the second fraction is the same as dividing two fractions. The first step is to get the reciprocal of the second fraction (reverse the numerator and denominator, reciprocal of 1/ 2 is 2/ 1 ). Multiply the two numerators after that. Then add the two denominators together.

To put it another way, five divided by one-half equals 10.

Answer:it is ten

Step-by-step explanation:

Monica has a triangular piece of fabric. The height of the triangle is 19 inches and the triangle's base is 18 inches. Monica says that the area of the fabric is 342 in2. What error did Monica make? Explain your answer by entering the correct area of the fabric

Answers

she used the area of a square formula instead of area of a rectangle. she should have done A =(1/2)(19)(18) and gotten 171 in^2

hurry go to finish the homework before 9:00

Answers

Answer:

actually the answer is D

Step-by-step explanation:

now help me with this one please and explain, please

Answers

Answer:

72 sq ft

Step-by-step explanation:

A square room means ecah side is equal. so 12*12= 144.

12 times 6 (for the height)= 72 sq ft

Answer:

72 square feet

Step-by-step explanation:

if the area of the floor is 144 and square, that means that the sides are the same length. 12 * 12 = 144 so the length is 12.

the height of the room is 6 so you multiply 12 and 6 and you get 72

hope this helped! :)

i need help on dignostic

Answers

Answer:

1 1/2

Step-by-step explanation:

Clayton's bus ride to school is 3/4 of a mile and Prince's bus ride is 1/4 of a mile. How much longer is Clayton's bus ride than Prince's.

Answers

2/4 or 1/2 of a mile
I think Claytons bus ride is 2/4 or 1/2 longer than Princes bus ride because 3/4 - 1/4 is 2/4. Might be wrong since that seems a bit too easy to be true. 2/4 is my final answer though.

Learn with an example
Find the measure of a negative angle coterminal with 90°.

Answers

Answer:

-270 is the smallest negative possible angle.

Step-by-step explanation:

Cotrrminal Angle have been period of 360 degrees.

Since we won't it to be negative, we subtract 360.

[tex]90 - 360 = - 270[/tex]

We can keep going infinitely if we want to.

[tex] - 270 - 360 = - 630[/tex]

Or so on...

Use your answer from question #3 to find the measure of angle C.

Answers

The sum of the angle measures is 180 degrees

  -->[tex](3x + 28)+(5x + 52) +(2x -10) = 180\\10x + 70 = 180\\10x = 110\\x = 11[/tex]

Since x= 11, angle c = 2(11) - 10= 12

Hope that helps!

The price of a new dishwasher is £376. This price includes VAT at a rate of 17.5%. What was the price before VAT was added?

Answers

£376=117.5% so (376/117.5)= 1% x 100= £320 is the original price

What is the value of x? 6.75+3/8x=131/4.
A) 2 7/16
B) 17 1/3
C) 18 2/3
D) 53 1/3

Answers

Answer:

A

Step-by-step explanation:

PLEASE HELP!!!

Yevgeniy is placing decorations on the wall for his birthday. He has
60 square cm of space left on the wall in the shape of the rhombus
below. Will the rhombus shown below fit on the wall?

Answers:

Yes

No

Answers

Answer:

No

Step-by-step explanation:

To find the area Use B x H = A

so 7 x 9 = 63

Name each polynomial by degree

Answers

Answer:

1. Quadratic, 2nd degree

2. Constant, no degree

3. Cubic, 3rd degree

4. Linear, 1st degree

A mountain bike is fitted with 29 inch tired. The 29 inch represent the diameter of the tire. How many revolutions of the tire will it takebto make the bicycle travel one mile? (1 mile=5,280 feet)

Answers

Answer:

  695 revolutions

Step-by-step explanation:

Finding the number of revolutions is basically a units conversion problem. You want to translate miles to revolutions. We can do this by way of feet and inches. The circumference of the wheel is pi times the diameter.

  1 mi = (1 mi) × (5280 ft)/(1 mi) × (12 in)/(1 ft) / (29π in)/(1 rev)

  = (1·5280·12·1)/(1·1·29π) = (63360/(29π)) rev ≈ 695.45 rev

About 695 revolutions will be needed to make the bike travel 1 mile.

She buys at least three but fewer than 9 large oranges.

Answers

Answer:

7

Step-by-step explanation:

any number greater than 3 but it has to be less than 9

Solve the following sum:
4X - 3 = 9x = ...

Answers

Answer:

x = -3/5

Step-by-step explanation:

4x-3=9x

-9x -9x

-5x-3=0

+3 +3

-5x/-5=3/-5

x = -3/5

Answer:

x=-0.6 or -3/5

Step-by-step explanation:

4x-3=9x

4x-9x=3

-5x=3

-5x/-5=3/-5

x=-3/5

or x= -0.6

Please help and you will get points

Answers

Answer:

sheesh this is big

Step-by-step explanation:

aight for the conver to meters

1)2

2)7

3)6.5

4)4

5)0.40

convert to litres

sorry my class just ended ill answer the rest in like 5 minutes

A right triangle has leg lengths of 1 m and √15 m. What is the length of the hypotenuse?

Answers

When it comes to right triangles, there's one extremely important equation that you'll have to use almost every single time you come across one: the Pythagorean Theorem.

[tex]a^{2} + b^{2} = c^{2}[/tex]... Does that equation ring any bells? This equation is utilized to solve for any of the sides of a right triangle, given that you know the values of two of the sides. in a right triangle, there are three sides - one of which is known as a hypotenuse (the longest side of a right triangle). Variables a and b represent the lengths of the non-hypotenuse sides (basically, the two smaller sides, the ones that form a right angle). There's no special rule to which side is designated a and which is designated b, so don't worry about trying to figure out which side should be labeled which. Variable c represents the length of the hypotenuse.

Now, how can we apply the Pythagorean Theorem to this question? We are given the values of the two legs of the triangle, 1 m and [tex]\sqrt{15}[/tex] m. Since we are prompted to solve for the length of the hypotenuse, we will use the Pythagorean Theorem and solve for c, the variable for the length of the hypotenuse.

[tex]c^{2} = a^{2} + b^{2}[/tex]

c = [tex]\sqrt{a^{2} + b^{2} }[/tex]

(We square root both sides in order to isolate c. Now, let's plug in the values we were given. As we learned earlier, it doesn't matter which leg is a or b)
c = [tex]\sqrt{1^{2} + \sqrt{15}^{2} }[/tex]

c = [tex]\sqrt{1 + 15}[/tex]

c = [tex]\sqrt{16}[/tex]

c = 4 (m)

The length of the hypotenuse is 4 meters.

And we're done! Though I wrote a lot, the equation is fairly simple and will come extremely handy any time you're faced with questions like these. If you have any questions about anything I wrote here or you need clarification on anything, let me know!

- breezy ツ

What is the greatest power of 6 that evenly divides 120!?

Answers

Answer:

58

Step-by-step explanation:

Lmk if its correct :)

Do number 3 pleaseee

Answers

Answer:

The picture is too blurry to see, so let me explain how you find the answer for yourself...

Step-by-step explanation:

Basically, time is the y-axis (up and down), and # of rebounds is the x-axis (left and right). The question asks for rebounds made in 15 minutes, so first find the 15 mark on the left of the graph. Trace that line across the graph to the right (use ur finger if you have to) until you hit a dot. Trace the line that the dot is on down to the bottom of the graph. The number you hit will be your answer (# of rebounds).

~Hope this helps :)

Which algebraic expression means ""three more than a number squared""? 2 n 3 2 n minus 3 n squared 3 n squared minus 3

Answers

The expression which is stated that three more than a number squared is n² + 3. Then the correct option is C.

What is an Algebra equation?

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

Let the number be n.

The square of the number n is given as n².

The number is more than 3 then the number will be

n² + 3

The expression which is stated that three more than a number squared is n² + 3.

More about the Algebra equation link is given below.

https://brainly.com/question/953809

VERY EASY, PLEASE HELP

Answers

Answer:

2/7

Step-by-step explanation:

This is a direct proportionality qn

Answer:

x=3.5

Step-by-step explanation:

In one minute 3.5 pancakes are eaten, and the variable is constant

50 POINTS | Select all options that are true.

a. SV = TU
b. ST = VU
c. TU < SU
d. TU > SV
e. SU = SU

Answers

Greater side has greater opposite angles

So

<U=<S

Now

SV<TUST=VUSU=SU

These are correct

-7 x A = -14 Fill in the missing number in the equation

Answers

A = positive 2 hope this helps

Answer:2

Step-by-step explanation:

You need to remember these 3 rules when working with multiplication:

Negative number x Negative number = positive number

Negative number x Positive number = Negative number


Positive Number x Positive Number = Positive Number


With that in mind, we see in this equation we are multiplying negative number x positive number = negative number


And we also know 7*2=14 so we know A = 2 and we also know (since A is a positive number) 2 will be postitive:

So the equation will look like this:


-7 x 2 = -14

Therefore A = 2


Hope this helps :D

2) The area of Bethany's rectangular yoga mat is 15 square feet. The width of her mat is 3 feet. How many feet long is Bethany's yoga mat?
A) 2 feet
B) 6 feet
5 feet
D) 7 feet

Answers

5 feet

15 divided by 3 is 5

Area is base x height so 3 x 5 is 15

Answer:

C-5 feet

Step-by-step explanation:

If the area is 15, and the width is 3, we need to find the length with the info we have. And we know, to find the area, we need to multiply the length and the width. What number times 3 can get us to 15? Let's find out by dividing.

15/3=5

How to check? Use inverse operations:

3*5=15

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