(4x + 5)
1 answer:
Answer:
<A = 133degrees
Step-by-step explanation:
Find the diagram attached
Using the theorem that "the sum of opposite angle of a cyclic quadilateral is 180 degrees, hence;
m<A + m<C = 180
4x+5 + x + 15 = 180
4x+x+5+15 = 180
5x+20 = 180
5x = 180 - 20
5x = 160
x = 160/5
x = 32degrees
Get the measure of angle A
<A = 4x+5
<A = 4(32)+5
<A = 128+5
<A = 133degrees
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14. Each leg is units long.
15 (a). The longer leg is units long
15 (b). The hypotenuse is units long
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Explanations:
For a 45 degree right triangle, aka 45-45-90 triangle, the hypotenuse is equal to sqrt(2) times the short leg. Algebraically we can say
where x is the leg and y is the hypotenuse
Let's solve for x
Now plug in the given hypotenuse y = 42, this leads to,
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For a 30-60-90 triangle, the hypotenuse is double that of the short leg. So the hypotenuse is 2*7 = 14.
The longer leg is equal to sqrt(3) times the short leg. The longer leg is