The expression $15x+11$ represents the perimeter of the trapezoid. What is the length of the fourth side? A trapezoid. The shorter base is labeled 3 x plus 4. The legs are labeled 2 x plus 3 and 4 x minus 1. The length is .

Step-by-step explanation:

Given that:

Perimeter of the trapezoid =

Shorter base =

One leg =

Second base =

To find:

The length of fourth Side = ?

Solution:

Let us have a look at the perimeter of a trapezoid.

Perimeter = Sum of all the sides

Let the fourth side =

Using the formula and putting the given values:

Fourth side is:

i believe that the slope of the line is -5

step-by-step explanation:

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west