Find the measure of Angle B if...A & B are supplementary, and A=2x+4 B=3x+16. a. 112
b. 32
c. 12
d. 52

Use the picture below of the isosceles triangle to solve for x & y.

a. x=47 y=43
b. x=90 y=43
c. x=90 y=86
d. x=86 y=43

1) because A and B are supplementary

=> 2x + 4 + 3x + 16 = 180

<=> 5x = 160

<=> x = 32

with x = 32 => angle B = 3.32 + 16 = 96 + 16 = 112

2) see in the picture, because triangle ABC is the isosceles triangle => angle A = 180 - 2.47 = 180 - 94 = 86

we also have:

2y = 86

x = y + 47

=> y = 43

x = 43 + 47 = 90

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

14.3

step-by-step explanation:

add all the numbers together.

9 + 12 + 15 + 16 + 17 + 17 = 86

now, divide 86 by how many numbers we have: 6.

86 / 6 = 14.3