Answer:
A option
Step-by-step explanation:
ΔMNO: ∠M=79°, ∠O=22°, then ∠N=180°-79°-22°=79°.
ΔGHK: ∠G=∠H=79°, then ∠K=180°-79°-79°=22°.
ΔPQR: ∠R=20°, ∠Q=79°, then ∠P=180°-79°-20°=81°.
ΔDEF: ∠E=82°, ∠F=22°, then ∠D=180°-82°-22°=76°.
Similar triangles have congruent angles, then
ΔMNO and ΔGHK are similar.
Answer:
Step-by-step explanation:
Let the width of the pool deck be x.
- Dimensions of the pool are 12 + 2x and 24 + 2x.
- Total area is 1408 ft².
<u>We have equation:</u>
- (12 + 2x)(24 + 2x) = 1408
- 12*24 + 12*2x + 24*2x + (2x)² = 1408
- 288 + 72x + 4x² = 1408
- 4x² + 72x + 288 - 1408 = 0
- 4x² + 72x - 1120 = 0
- x² + 18x - 280 = 0
- x² - 10x + 28x - 280 = 0
- x(x - 10) + 28(x - 10) = 0
- (x - 10)(x + 28) = 0
1)
2)
- x + 28 = 0
- x = - 28 (discarded as negative)
Correct choice is B
A is the correct answer. PEMDAS for single step and double step equations alike.