ABCD is a rectangle. The length of is 8 units, and m∠ABD is 67°.

The length of is
units, and m∠CBD is
°.

the required answer is 23°

Step-by-step explanation:

you can apply basic property of rectangle to solve this question.

each angle of a rectangle is 90°

now, ∠ABD + ∠CBD = 90°

or, ∠CBD = 90° - 67° ( given ∠ABD = 67°)

= 23°

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)

a.)the line for function b is steeper