Remember, all the interior angles of a triangle equals 180.
So in triangle ABC, it already gives us two out of the three angles.
First, we add 52 and 36 and that gives us 88.
Now we subtract 88 from 180.
180 - 88 = 92
So that means that ∠ABC is 92°
Now we have to look at triangle DEF.
The equation says that triangle DEF is similar to triangle ABC.
Looking at the picture, triangle DEF is smaller and is flipped upside down.
So that means that ∠ABC ≈ ∠DEF
In similar triangles, the measurements of angles does NOT change. Just the side length.
So since ∠ABC = 92° that means that ∠DEF = 92°
If they each kept the same amount of the $50 prize, then we divide $50
by 2 people, giving each of them $25 winnings. Your question is then a
little confusing because it could be answered in two ways. Did they
each keep $20.75 out of their $25 winnings, or did the two of them keep
$20.75 in a combined total? Please read your question again to see
which might be the case. I'm answering on the assumption that they each
kept $20.75.
STEP 1:
divide total prize money by 2
= $50 ÷ 2
= $25 each won
STEP 2:
If they each kept $20.75
= $25 won - $20.75 each kept
= $4.25 each gave away
STEP 3:
multiply amount given away by 2 people
= $4.25 * 2 people
= $8.50 total given away
ANSWER: The total given to Romy is $8.50.
Hope this helps! :)
The coefficient of x in this case is 1. (x*x = x^2)
