A map uses a scale of 1.25 inches = 60 miles. a) Determine how many miles are represented by one inch.

b) If the distance between 2 cities on the map is 7 inches, how far apart are the cities in miles?

a. 48 miles are represented by one inch

b. The two cities are 336 miles apart

Step-by-step explanation:

a.

The equations are directly proportional to each other, meaning we can equal them together

Set up the equation:

1.25 in/60 mi = 1 in/x mi

Variable x = number of miles represented by 1 inch

Cross multiply

1.25 × x = 60 × 1

1.25x = 60

Divide both sides by 1.25 to isolate the variable

1.25x ÷ 1.25 = 60 ÷ 1.25

1x = 48

x = 48

1 inch represents 48 miles

b.

We know 1 inch represents 48 miles, so to find how many miles 7 inches represents, we must multiply

Set up the equation:

7 inches × 48 miles

Solve:

7 × 48 = 336

7 inches represents 336 miles

damm bro the struggle

step-by-step explanation:

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.