Answer:
m∠Q ≈ 53°
Step-by-step explanation:
To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.
In this situation, 'A' will be ∠Q. Therefore:
17² = 18² + 20² -2(18)(20)cosQ
Simplify:
289 = 324 + 400 -2(360)cosQ
Continue simplifying down:
-435 = -720cosQ
Divide both sides by '-720':
0.604 = cosQ

m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.
with a point given and the slope , you can find the the line, of this form, THE EQUATION POINT SLOPE IS
Y-Y1= M(X-X1) , Y-(-1) = -1/2( X- 10), Y+1 = -1/2X+ 5, Y = -1/2 X +5 -1, Y = -1/2X+ 4
Answer:
width = 8 ft & length = 32 ft.
Step-by-step explanation:
let the width be x and length be 4x.
we know, Perimeter = 2(l+b)
now,
2(4x + x) = 80
10x = 80
x = 80/10 = 8
x = 8
therefore,
width = x = 8 ft
length = 4x = 4 × 8 = 32 ft.
hope this helps you !