Answer:
Step-by-step explanation:
<u>Given triangle ACD</u>
- AB = BC
- CD = 2x + 6
- AB = x + 5
- BC = 2x - 3
- P = ?
<u>Perimeter is sum of the side lengths:</u>
AD = CD because D is vertex and the triangle is isosceles
AC = AB + BC because B is midpoint of AC
<u>Then P is:</u>
- P = 2(2x + 6) + (x + 5) + (2x -3) = 4x + 12 + x + 5 + 2x - 3 = 7x + 14
<u>Find the value of x from the AB = BC:</u>
- x + 5 = 2x - 3
- 2x - x = 5 + 3
- x = 8
<u>Then find the value of P:</u>
- P = 7*8 + 14 = 56 + 14 = 70 units
Answer:
48 degrees
Step-by-step explanation:
<u>1) Solve for x</u>
Complementary angles add up to 90 degrees. Therefore, m<A + m<B is equal to 90:

Open up the parentheses

Subtract 20 from both sides

Divide both sides by 5

Therefore, x is equal to 14.
<u>2) Determine angle A</u>

Substitute x with 14

Therefore, the measure of angle A in degrees is 48 degrees.
I hope this helps!
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