Step-by-step explanation:
It is 28°
Because both triangles FED and ABC are right (converse of pythagorean theorem)
Also the lengths of the side of the triangle ABC is double the lengths of the side of the other triangle
You calculate the measure of the angle ∠A in triangle ABC which is 28° (by calculation)
This will also be the measure of angle D
I'm not sure if it is right but hopefully it will help you.
The answer is 1,360 square inches :)
Answer: 16 units
Step-by-step explanation:
Given that in triangle ABC, m∠C=90,
it means m∠A +∠B= m∠BAC + m∠ABC = 90
m∠ABC = 90 - m∠BAC
Also given that;m∠BAC = 2m∠ABC
So,
m∠BAC = 2(90 - m∠BAC) = 180 - 2m∠BAC
m∠BAC +2m∠BAC = 180
3m∠BAC = 180
m∠BAC=180/3 = 60
m∠ABC = 60/3 = 30
thus,ΔBAC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:BC=1:√3, AC=BC/√3BC=24, So,
AC=24/√3=8√3AL bisects angle A =>m∠LAC=30
ΔALC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:AL=√3:2AL=2AC/√3=2x8√3/√3=16
Answer:
4/5 (Decimal:0.8)
Step-by-step explanation:
Simplify:
1/3 + 7/15
5/15 + 7/15
5+7/15
12/15=4/5(Decimal:0.8)