Answer:
A. 15
Step-by-step explanation:
Hypotenuse = 22
Since the two angles other than the 90° are both
45° , it means that the two legs of the right triangle are of equal length.
So, (x)²+ (x)² = 22²
2x² = 22²
x² = 484/2
x² = 242
x = √242
x = 15.55
x ≈ 15
By the law of sines, m∠<em>EFG</em> is such that
sin(m∠<em>EFG</em>) / (8 in.) = sin(m∠<em>G</em>) / (7.5 in)
so you need to find m∠<em>G</em>.
The interior angles to any triangle sum to 180°, so
m∠<em>DEG</em> = m∠<em>D</em> + m∠<em>G</em> + 43°
m∠<em>DEG</em> + m∠<em>D</em> + m∠<em>G </em>= 2 (m∠<em>D</em> + m∠<em>G</em>) + 43°
180° = 2 (m∠<em>D</em> + m∠<em>G</em>) + 43°
137° = 2 (m∠<em>D</em> + m∠<em>G</em>)
68.5° = m∠<em>D</em> + m∠<em>G</em>
But ∆<em>DEG</em> is isosceles, so m∠<em>D</em> = m∠<em>G</em>, which means
68.5° = 2 m∠<em>G</em>
34.25° = m∠<em>G</em>
<em />
Then
sin(m∠<em>EFG</em>) = (8 in.) sin(34.25°) / (7.5 in)
m∠<em>EFG</em> ≈ sin⁻¹(0.600325) ≈ 36.8932°
Answer:
724.0915
Step-by-step explanation:
multiply 899.99 and 8.5 you get 724.0915
hope this helps
Answer:
x = 50
Step-by-step explanation:
Since this is a right triangle we can use special triangles
The angle next to the x is 60 degrees since it is a 30 60 90 triangle
The side opposite the 30 degree angle is the shorter side
The hypotenuse - 2 * shorter leg
100 = 2 * x
x = 50
29/32
Step-by-step explanation:
ng x value 32wrffddfddfffryufcjhfddxhjhddxffdssdtt
