The parallel sides of a trapezoid have lengths 9 cm and 12 cm. Draw one diagonal, dividing the trapezoid into two triangles. What is the ratio of their areas?

Ratio of triangle = 3 : 4

Step-by-step explanation:

Given:

Parallel sides = 9 cm , 12 cm

Find:

Ratio of triangle

Computation:

Assume height = h

Area of triangle = [1/2]bh

Area of triangle (1) = [1/2](9)h

Area of triangle (1) = 4.5 h

Area of triangle (2) = [1/2](12)h

Area of triangle (2) = 6 h

Ratio of triangle = 4.5 h / 6 h

Ratio of triangle = 3 : 4

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

sorry man i accidentally pressed yes my bad

step-by-step explanation: