Answer:
-(2x + 5y)
Step-by-step explanation:
short leg: x
long leg: 5x + 19
hypotenuse: 5x + 20
(short leg)² + (long leg)² = hypotenuse
(x)² + (5x + 19)² = (5x + 20)²
x² + 25x² + 190x + 361 = 25x² + 200x + 400
x² - 10x - 39 = 0 <em>subtracted 25x², 200x, and 400 from both sides</em>
(x - 13)(x + 3) = 0
x - 13 = 0 , x + 3 = 0
x = 13 x = -3 <em>length cannot be negative so disregard -3</em>
long leg: 5x + 19 = 5(13) + 19 = 65 + 19 = 84
hypotenuse: 5x + 20 = 5(13) + 20 = 65 + 20 = 85
Answer: short leg = 13, long leg = 84, hypotenuse = 85
Step-by-step explanation:
the answer is in the above image
Answer:
55.4
Step-by-step explanation:
SOH
sin (θ°) = opposite / hypotenuse
sin (28) = 26/x
Solve for x (hypotenuse).
x = 26/(sin (28))
x = 55.38141617...
Nearest tenth.
x ≈ 55.4
Answer:
(1x,4y)
Step-by-step explanation: