Answer:
Hi, Hope this will help :-)
ANSWER
The smaller angle is

.EXPLANATION
Let the angles be

where y is the smaller angle.
Since they are supplementary, they will add up to 180°.
This implies that,

If one angle is 4 times the other, we can then write the following equation,

We put equation (2) into equation (1) to get,


We divide through by 5 to obtain,

This implies that,

Answer: They are not perpendicular because their slopes are not negative reciprocals.
Step-by-step explanation:
For these two lines to be perpendicular, their slopes have to be negative reciprocals.
Slope of FG.
F = (-4, 1)
G = (0, -2)
= (Y₂ - Y₁) / (X₂ - X₁)
= (-2 - 1) / (0 + 4)
= -3/4
Slope of HJ
J = (0 , 4)
H = (-4, -2)
Slope = (Y₂ - Y₁) / (X₂ - X₁)
= (-2 - 4) / (-4 -0)
= 6/4
= 3/2
<em>The slopes of these lines are not negative reciprocals so these lines are not perpendicular. </em>
Answer:
(-0.5,-2.5)
Step-by-step explanation:
- (x1 + x2) / 2 = x midpoint
- (y1 + y2) / 2 = y midpoint
<h3>X:</h3>
⇒ 2 + -3 = 5
⇒ 5 / 2 = -0.5
<h3>Y:</h3>
⇒ 4 + -9 = -5
⇒ -5 / 2 = -2.5
→ = (-0.5, -2.5)