Angle PSR measures 99°. What is the measure of ∠PSQ in degrees?

A. 45°

Step-by-step explanation:

m<PSR is given as 99° = m<PSQ + m<QSR

m<PSQ = (3x + 18)°

m<QSR = (9x - 27)°

99 = (3x + 18) + (9x - 27)

Find the value of x using the expression above

99 = 3x + 18 + 9x - 27

99 = 12x - 9

Add 9 to both sides

99 + 9 = 12x

108 = 12x

Divide both sides by 12

9 = x

x = 9

Find m<PSQ

m<PSQ = (3x + 18)°

Plug in the value of x

m<PSQ = 3(9) + 18

m<PSQ = 27 + 18 = 45°

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58