Step-by-step explanation:
I'll do the first problem as an example.
∠P and ∠H both have one mark. That means they're congruent.
∠T and ∠G both have two marks. So they're congruent.
∠W and ∠D both have three marks. So they're congruent.
So we can write a congruence statement:
ΔPTW ≅ ΔHGD
We can write more congruence statements by rearranging the letter, provided that corresponding pairs have the same position (P is in the same place as H, etc.). For example:
ΔWPT ≅ ΔDHG
ΔTWP ≅ ΔGDH
Answer:
Michael's present age = p + 5
Michael's present age = 3p + 15
Sum of there ages 6 year age = 5p + 38
Sum of there ages 3 year ago = 5p - 11
Step-by-step explanation:
Assume;
Age of Rui Feng = x
Age of Micheal = x + 5
Age if Vishal = 3[x+5]
Given:
Age of Rui Feng = P
Computation:
Michael's present age = Age of Rui Feng + 5
Michael's present age = p + 5
Vishal's present age = 3[p + 5]
Michael's present age = 3p + 15
Sum of there ages 6 year age = [p + 6] + [p + 5 + 6] + 3[p + 5] + 6
Sum of there ages 6 year age = 5p + 38
Sum of there ages 3 year ago = [p - 3] + [p + 5 - 3] + 3[p + 5] - 3
Sum of there ages 3 year ago = 5p - 11
We need to make h alone.
Add 7 to both sides to remove -7 from the right, and multiply both sides by -1 to make h positive. Doesn't matter which you do first.
Result:
6=h
h=6