With these two math questions

if these two figures are similar, what is the measure of angle b?
a) 35°
b) 70°
c) 95°
d) 130°

the scatter plot shows a regression line of advertising dollars spent and sales. if the company were to spend $350,000 on advertising, what would be the predicted sales?
a) $116 million
b) $120 million
c) $118 million
d) $122 million

1) D.

2) D. $122 million.

Step-by-step explanation:

1. We have been given two similar figures and we are asked to find the measure of angle B.

Since we know that corresponding angles of similar figures are equal.

We can see from our given figures that the measure of angle corresponding to angle B is 130 degrees, therefore, the measure of angle B is 130 degrees and option D is the correct choice.

2. We have been given a scatter plot that shows a regression line of advertising dollars spent and sales.

To find the predicted sales, when company spent $350,000 on advertising, we need to find the y-value corresponding to x= 350 as x-axis represents the advertising cost in thousand dollars.

We can see from our attached file that at x=350 the corresponding y value is 122.

Since y-axis represents the sales in millions, so the predicted sales of company will be $122 million and option D is the correct choice.

y=mx+

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841