Write and solve an equation to find the value
of x. then find the measure of each angle.
equation:
(6x + 1)
com (5x - 17)
(9x - 24)"
answers
< pta =
< apt =
< pat =

x = 11 ,

<APT = 6x + 1 ➡ 67°

<PTA = 9x - 24 ➡75°

<PAT = 5x - 17 ➡ 38°

Step-by-step explanation:

(5x - 17) + (9x - 24) + (6x + 1)=180°

20x - 40 = 180°

20x = 180° + 40°

20x = 220°

x = 11

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°, thus

6x + 1 + 9x - 24 + 5x - 17 = 180, that is

20x - 40 = 180 ( add 40 to both sides )

20x = 220 ( divide both sides by 20 )

x = 11

Hence

∠PTA = 9x - 24 = (9 × 11) - 24 = 99 - 24 = 75°

∠APT = 6x + 1 = (6 × 11) + 1 = 66 + 1 = 67°

∠PAT = 5x - 17 = (5 × 11) - 17 = 55 - 17 = 38°

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: