x = 5AB = 16BC = 15AC = 31

Step-by-step explanation:

The segment addition theorem tells you ...

AB + BC = AC

Filling in the expressions for these segments, you have ...

(3x +1) + (4x -5) = (8x -9)

3x +1 +4x -5 +9 -7x = 8x -9 +9 -7x . . . add 9 - 7x to both sides of the equation

5 = x . . . . . . . simplify

__

AB = 3·5 +1 = 16

BC = 4·5 -5 = 15

AC = 8·5 -9 = 31

Sum of interior angles in a triangle = 180

2x - 1 + 11x + 3 + 5(x - 4) = 180

13x + 2 + 5x - 20 = 180

18x - 18 = 180

18x = 198

x = 11

Step-by-step explanation:

step 1

Find the value of y

we know that

In the right triangle of the figure

Remember that

so

Simplify

step 2

Find the value of x

In the right triangle of the figure

Remember that

so

5y - 16 + 3y + 20 = 180 degrees

Combine like terms on the left side

8y + 4 = 180

Subtract 4 from both sides.

8y = 176

Divide both sides by 8

y = 22

Plug 22 into y for each angle.

3y + 20 = 3(22) + 20 = 66 + 20 = 86 degrees

5y - 16 = 5(22) - 16 = 110 - 16 = 94

The angle opposite 5y - 16 also equals 94 because they are vertical angles.

The angle opposite of 3y + 20 also equals 86 because they are vertical angles

Step-by-step explanation:

Providing you are working with 2 straight lines that intersect, the 2 given angles are supplementary.

3y+20 + 5y - 16 = 180 Collect like terms

8y + 4 = 180 Subtract 4 from both sides

8y + 4-4=180-4 Collect like terms

8y = 176 Divide by 8

8y/8 = 176/8

y = 22

Angle 1

3y + 20

3*22 + 20

66 + 20

86

Angle 2

5y - 16

5*22 - 16

110 - 16

94

22,86,94

B

22, 86 , 94

Step-by-step explanation:

the measure of angle of a line is 180°

to find value of y..

3y + 20 + 5y - 16 = 180

3y + 5y = 180 - 20 + 16

8y = 176

y = 176/8

y = 22

and the measure of angles..

3*22 + 20 = 86

5*22 - 16 = 94

and.. 94+86 = 180

so y = 22 and angles are 86° and 94°

one set of data has more variation than the other. hope this !...Read More

1 more answers

about 168 milesstep-by-step explanation:...Read More

2 more answers

Domain: [1,2,3,...9460]Range: [45.50, 91, 136.5...430430]Step-by-step explanation:Let the number of people in attendance at a game =xEach ticket costs $45.50.Therefore, Revenue, f(...Read More

1 more answers

answer: need picture of problem step-by-step explanation:...Read More

1 more answers

80% of the cookiesstep-by-step explanation:...Read More

1 more answers

for apex Probability if hitting a home run given that you didn’t strike out Step-by-step explanation:...Read More

3 more answers

- Each chapter's deep dive discussion will be graded according to the ru...
- (1 point) Unlucky Albert decides to play roulette and bet on a single...
- Please answer ASAP. what is 2x + 4 = 23...
- The personnel manager for a commercial bank has interviewed ﬁve men an...
- You want to determine if the children are taller in the morning than i...
- What is equally between 1200 and 1600 ...
- Match the y-coordinate with the given x-coordinate for the equation y...
- For the given function, find (a) the equation of the secant line throu...
- For f(x) = x + 3 and g(x) = 4x + 4, find the following functions. a. (...
- Sand spent half of her allowance going to the movies . She washed the...