9514 1404 393
Answer:
110°
Step-by-step explanation:
The total of the ratio units is 11 +2 +5 = 18. These stand for the total of angles, 180°, so each ratio unit stands for 180°/18 = 10°.
The largest angle is 11 ratio units, or 11×10° = 110°.
Answer:
37
Step-by-step explanation:
Answer:
see below
Step-by-step explanation: 5 23 8 03
the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.
shorter leg = x
longer leg = x + 9
hypotenuse = 2x - 9
Pythagorean theorem = a² + b² = c²
shorter-leg² + longer-leg² = hypotenuse²
x² + (x+9)² = (2x - 9)² solve for x
x² + (x+9) (x+9) = (2x - 9)(2x - 9)
x² + (x²+18x+81) = (4x² - 36x + 81)
(2x²+18x+81) = (4x² - 36x + 81)
0 = 2x² -54x
0 = x(2x - 54)
0 = x and 0 = 2x -54
54 = 2x
27 = x
shorter leg = 27
longer leg = 36
hypotenuse = 45
divided all the values by 9 and you get a 3, 4, 5 right triangle, so the answer checks correct
Answer:
∠ QPR = 64.5°
Step-by-step explanation:
The chord- chord angle QPR is half the sum of the arcs intercepted by the angle and its vertical angle, then
∠ QPR = 
(QR + ST ) = (98 + 31)° = 0.5 × 129° = 64.5°
