Use the exterior angle theorem to find the value of x in the triangle below. A
x = 7

B
x = 5

C
x = 12

D
x = 15

Option A

Step-by-step explanation:

By using the definition of an exterior angle of a triangle,

"Measure of the exterior angle of a triangle is equal to the sum of measures of the opposite interior angles"

m∠STP = m∠SWT + m∠STW

Substitute the measures of the angles from the picture attached,

15x = (7x + 1) + (7x + 6)

15x = (7x + 7x) + (1 + 6)

15x = 14x + 7

15x - 14x = 7

x = 7

Therefore, Option A will be the correct option.

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

michael scott & dwight schrute

step-by-step explanation:

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