f the measure of angle BCD is 67.4°, the measure of angle ABC is °. If the length of base AB is 80 feet, the length of DC is feet.

Step-by-step explanation:

Given

See attachment for complete question

Required

and side length DC

 Calculating

First, calculate

--- angles in a triang;e

So:

Collect like terms

So:

Calculating DC

First, calculate EC using Pythagoras theorem.

Collect like terms

Take square roots

Length DC is:

Where

So:

..

step-by-step explanation:

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.