A side of the triangle below has been extended to form an exterior angle of 156°. Find
the value of x

A Side Of The Triangle Below Has Been Extended To Form An Exterior Angle Of 156. Findthe Value Of X

Answers

Answer 1

Answer:

x=24

Step-by-step explanation:

again 180-156=24

super easy remember exterior +interior angles add up to 180

Brainliest please

Answer 2

First angle = 105

Second angle = x

Third angle = 156 - 105

= 51

_________________________________________

Three angles of the triangle:

[tex]105[/tex]

[tex]x[/tex]

[tex]51[/tex]

___________________________________________

Angle sum of triangle = 180°

[tex]105 + 51 + x = 180[/tex]

[tex]156 + x = 180[/tex]

[tex]x = 180 - 156[/tex]

[tex]x = 24[/tex]


Related Questions

You and your friend join a new gym that requires a one-time joining fee and monthly payments. Your friend chooses the 1 year plan and pays $687, while you elect the 18 month contract which costs $981. Use this information to determine the linear model used to calculate cost from months of membership.

Answers

Answer:

C = 99 + 49m

x = $99

y = $49

Step-by-step explanation:

Let

x = one time joining fee

y = monthly payment

Your friend:

1 year = 12 months

x + 12y = $687

You:

x + 18y = $981

x + 12y = 687 (1)

x + 18y = 981 (2)

Subtract (1) from (2)

18y - 12y = 981 - 687

6y = 294

Divide both sides by 6

y = 294 /6

= 49

x = $49

Substitute y = 49 into

x + 12y = 687

x + 12(49) = 687

x + 588 = 687

x = 687 - 588

= 99

x = $99

C = 99 + 49m

Where,

C = total charges

m = number of months

99 = a one time joining fee

49 = charges per month

John and his best friend found some money. They split the money evenly, each getting $14. How much money did they find?

Answers

Answer:

$28

Step-by-step explanation:

John and his best friend each got $14, so in total there are $14+$14=$28.

Answer:

$28

Step-by-step explanation:

If they split the money evenly then both of them got half.

So, multiply 14 by 2 to find the answer:

(14)(2) = 28

John and his best friend found a total of $28.

I hope this helps!!

- Kay :)

Given the conditional statement: "If it is Wednesday, then Kayden doesn't
have baseball practice." What is the hypothesis of this statement? *

Answers

Answer:

if it's wednesday

Step-by-step explanation:

Write the Slope-Intercept and Point-Slope forms of the line passing through the point (-3, 2) and having a slope of -4/5

Answers

Answer:

slope-intercept: [tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]

point-slope: [tex]y-2=\frac{-4}{5} (x+3)[/tex]

Step-by-step explanation:

The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.

The point-slope form of a line is written as y - y1 = m(x - x1), where (x1, y1) is a given point and m is the slope.

Here, we see that the slope is -4/5, which means that m = -4/5. Since we're given a point (-3, 2), let's go ahead and just write the point-slope form already. (x1, y1) = (-3, 2) so x1 = -3 and y1 = 2. Then:

y - y1 = m(x - x1)

y - 2 = (-4/5) * (x + 3)

[tex]y-2=\frac{-4}{5} (x+3)[/tex]

Now, we want to find the slope-intercept form, so we need to figure out the y-intercept. Well, first, let's plug in what we know:

y = mx + b

y = (-4/5)x + b

Any point on this line will satisfy the above equation. Since (-3, 2) is on this line, if we plug -3 in for x and 2 in for y, the equation should hold true, so we can solve for b:

y = (-4/5)x + b

2 = (-4/5) * (-3) + b

2 = 12/5 + b

b = -2/5

So, the y-intercept is -2/5. Then the slope-intercept form is:

[tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]

Thus, our two equations are:

slope-intercept: [tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]

point-slope: [tex]y-2=\frac{-4}{5} (x+3)[/tex]

Write the ratio
2/3 /5
in simplest form

Answers

Answer:

A) 2/15

Step-by-step explanation:

So just divide it normally, do keep change flip

2/3*1/5

2/3 keep

divison change

Denomeinator, flip it, 5 to 1/5

now multiply

2/15

PLEASE LOOKS AT PHOTO it’s due tonight i’m struggling badly :(

Answers

Answer: y=6.32
7^2-3^2=40


Answer:

y = 6.32

Step-by-step explanation:

7^2-3^2= 40

hope it helped

what is x in 4x²-12x+ 9 = 0​

Answers

Answer: x =  √9/8

answer is x = square root of 9/8

Step-by-step explanation:

which is an equation for the line passing through the points (-3,3) and (6,9)​

Answers

Answer:

y=2/3x +5

hope this helps

Answer:

[tex] \red{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]

Explanation

[tex] slope \:of \:the\: required\:\: line \implies\\\frac{9-6}{6-(-3)}=\frac{6}{9} [/tex]

[tex] equation \:of \:the\: required\:\: line\implies\:\\y - 3 = \frac{6}{9} (x + 3)[/tex]

[tex] \implies \: 9y - 27 = 6x + 18[/tex]

[tex] \implies \: 6x - 9y + 45=0[/tex]

[tex] \implies\:2x-3y+15=0[/tex]

Hence the equation of the line is

[tex] \green{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]

5+3w+3-w combine like terms to simplify

Answers

Answer:

8 + 2w

Step-by-step explanation:

Change all signs to addition (subtraction is the same as adding a negative):

5 + 3w + 3 + -w

Since the expression is now all addition, you can rearrange them in any order. So group the terms together by their type:

5 + 3 + 3w + -w

Simplify:

8 + 2w

Answer: 8 + 2w

Hope this helps! :)

The answer would be 8 + 2w because your combining like terms. You would have to add 5+3 to get 8. And combine 3w-w to get 2w

A baseball bat factory produces 24,000 bats per day and uses 50 boxes for packing the bats. If the number of boxes needed for packing is proportional to the number of bats produced, how many boxes would be needed on a day when 36,000 bats are produced?

Answers

Answer:

Total boxes= 75

Step-by-step explanation:

Giving the following information:

A baseball bat factory produces 24,000 bats per day and uses 50 boxes for packing the bats.

First, we need to determine the number of bats that fits into a box:

Bats per box= 24,000 / 50

Barts per box= 480

Now, the number of boxes for 36,000 bats:

Total boxes= total bats / bats per box

Total boxes= 36,000/480

Total boxes= 75

Answer:75

Step-by-step explanation:

Bats 24000/50

Box 480

Please helppppp. Thank you

Answers

Answer:

[tex]x \geq -42[/tex]

Step-by-step explanation:

      [tex]3 - \frac{x}{2} \leq 18[/tex]

  subtract 3

      [tex]- \frac{x}{2} \leq 15[/tex]

  multiply by two

      [tex]-x \leq 30[/tex]

  devide by -1 and flip the sign

       [tex]x \geq -30[/tex]

Mr. Gonzalez invested $4,200 into an account that earns a simple interest rate of 3% per year.

What is the amount of interest Mr. Gonzalez will earn at the end of one year?

Answers

Answer:

4326

Step-by-step explanation:

4200/100x3=126

4200 + 126=4326

Answer:

b

Step-by-step explanation:

4326

Order from least to greatest, (15 points) and brainy award.

Answers

Answer:

pi/2 ... 2pi -square root 9..... and then pi +3

Step-by-step explanation:

pretty much the opposite of what it is now

Can someone help me with these pls : ( I'm confused

Answers

Answer:

xy=3

QR =12

Step-by-step explanation:

Answer:

Step-by-step explanation:

XY is 3 (B)

QR is 12 (B)

Brainliest? Have a good day!

A machine produces 264 bolts in 42 minutes. At the same rate, how many minutes would it take to produce 308 bolts?
minutes

Answers

Answer:

49.6 minutes to create 308 bolts

Step-by-step explanation:

hope this helps :)

So I just need help. ​

Answers

Answer:

a = 100 + 45t

Step-by-step explanation:

$100 is a one time addition so it will be a constant

100

$15 is added three times a month, so $45 a month

t stands for months as shown in the question

100 + 15(3)t

100 + 45t

Answer this question quickly plz

Answers

Answer:

a.

1 quarter=0.25

240*0.25=60

again,

b.349/60=5.81 weak

Answer:

Step-by-step explanation:

a) he saves £60 per week

b) 60 x 6= 360

   he needs to save £60 for 6 weeks to have enough money to buy a bike

which is the graph of x-y=1

Answers

it should be the first one

Is the equation proportional?
y = 2x + 6

Answers

Answer:

yep

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

2x + 6 is equal

r = 4 in., θ = 11 rad; find s

Answers

Answer:

The arc length s = 44 inches

Step-by-step explanation:

We are given:

r = 4 in

Ф = 11 radians

We need to find s

The formula used is: [tex]s=r\theta[/tex]

where s represents arc length, r is radius and Ф is angle in radians

Putting values and finding s

[tex]s=r\theta[/tex]

Put r = 4 and Ф = 11

[tex]s=4\times 11\\s=44[/tex]

So, the arc length s = 44 inches

Someone help!

Three customers have accounts owing money. The table shows the account balances.

Which customer owes the least amount of money?


Customer Balance

M. Palmer –$56.72

B. Leftwich –$74.19

R. Jordan –$54.31




M. Palmer

B. Leftwich

R. Jordan

Answers

i think it’s r.
jordan owes the least amount of money

Simplify.
9/3x + 4+ 2x

Answers

Answer:

5x+4

Step-by-step explanation:

idk this please help me ​

Answers

Answer:

Pretty sure it is c

Step-by-step explanation:

YOU GET 60 POINTS!! Ronald rents a car from Cheap Rent-a-Car for $25 plus $0.05 per mile. Dixon rents a car from Great Cars for $40 plus $0.03 per mile. How many miles must they both drive for their rental fees to be the same?

Answers

10 miles i think :)

Answer:

750 miles

Step-by-step explanation:

25+0.05x=40+0.03x

0.02x=15

x=750

Which of the following correctly shows the next two terms after −40 in the pattern?

−10, 20, −40

Answers

Answer/ explanation: -10 for sure :)

The next two terms after -40 in this pattern are 60 and -160.

What is arithmetic Progression?

The difference between every two subsequent words in a sequence is the same; this is known as an arithmetic progression (AP). An equation for the previous block of the AP may be derived from this kind of development. For instance, the sequence 2, 6, 10, 14,... is a mathematical progression (AP) because it fits a pattern where every other number is acquired by adding 4 to the respective period.

The given data is,

-10, 20, -40

From -10 to 20 it is multiplied by 2 with a positive sign, and from 20 to -40 it is multiplied by 2 with a negative sign. Similarly, the next two numbers are 80 and -160.

To know more about reasoning:

https://brainly.com/question/11478756

#SPJ3

toni can carry up to 15 lbs in her backpack. her lunch weights 1 lb, her gym clothes weight 2 lb, and her books (b) weight 3 lb each. How many books can she carry in her backpack?​

Answers

Answer:

4 books

Step-by-step explanation:

15-3=12

12/3=4

If DF=61 and EF=18, find DE. ​

Answers

Your answer would be 43 you can just subtract it

Reuben bought 5CDS that were each the same priceIncluding sales tax, he paid a total of \$81.50. Each CD had a tax of $0.60. what was the price of each cs before tax ?

Answers

Answer:

The price of each CD before tax is $15.70

Step-by-step explanation:

Given that:

Number of CDs bought by Reuben = 5

Cost of five CDs = $81.50

Sales tax on each CD = $0.60

Sales tax on 5 CDs = 0.60*5 = $3.00

Price of CDs without tax = 81.50 - 3.00 = $78.50

Price of each CD = [tex]\frac{Cost\ of\ CDs}{No.\ of\ CDs}[/tex]

Price of each CD = [tex]\frac{78.50}{5}[/tex]

Price of each CD = $15.70

Hence,

The price of each CD before sales tax is $15.70

Norma made 16 braided bracelets. She split them evenly among g gift boxes. Write an expression that shows how many bracelets were in each box.

Answers

Answer:

16/g

Step-by-step explanation:

Answer:

the correct answer is 16÷g

Step-by-step explanation:

why 16÷g because the explanation said 16 braided bracelets. and the gift boxes was g so i think its 16÷g

Brodie plans to ride his hoover board to a Xaiver's house which is 2 miles away. If the
average speed of the hoover board is 5 mph, how many minutes will it take him to get to
Xaiver's house?


Please help it’s timed

Answers

Answer:

2.5 minutes

Step-by-step explanation:

Dividing the average speed by distance will give you 2.5 which is the average speed the hoverboard goes assuming the hoverboard will travel at the same speed the answer is 2.5 minutes.

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