<u>Part 1) </u>To find the measure of ∠A in ∆ABC, use
we know that
In the triangle ABC
Applying the law of sines

in this problem we have

therefore
<u>the answer Part 1) is</u>
Law of Sines
<u>Part 2) </u>To find the length of side HI in ∆HIG, use
we know that
In the triangle HIG
Applying the law of cosines

In this problem we have
g=HI
G=angle Beta
substitute


therefore
<u>the answer Part 2) is</u>
Law of Cosines
solve the equation for X by finding a,b, and c of the quadratic then applying the quadratic formula.
LWH=V
increasse by 10% means times 1.10
increase by 20% is times 1.20
L turns to 1.1L
W turns to 1.1W
H turns to 1.2H
(1.1L)(1.1W)(1.2H)=1.452LWH
so it is increased by 45.2%
X=23
I say this because you can see that the scale factor is 3 due to just visually scaling both the long and short leg from the original triangle to the dilated triangle. Dividing 39 by 3 is 13, and doing it in reverse. Adding 10 would equal 23, the initial value. So that'd be the missing value.
Answer:
34
Step-by-step explanation: