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>
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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: I believe the answer is 216 Square units.
Explanation:
1. Cut the shape in half. Now you have a square and a triangular shape.
2. The square is 12 inches on all four sides. 12 • 12 = 144. 144 is the area for the square.
3. Now, the triangular shape. The bottom of the shape is 12 because we divided the total 24 in half with the square. The left side (the longer side) of the shape is also 12 because it is parallel to the square with 12 as the same measurement. The right side (the shorter side) of the shape is 6 because it's half the size of the square’s length. The length of the top of the shape is also 12 because it is half of the square’s width of 24.
4. Now that we have found the measurements of the triangular shape, we can multiply (length • width) and add. The square is 144 units (12•12=144) and the triangular shape is 72 (12•6=72). 144 + 72= 216.
I hope this helps! :)
Answer:
35x-45y-20
Step-by-step explanation:
-5(-7x+4+9y)
distribute the 5:
35x-20-45y
To put this in order, variables first so:
35x-45y-20
Hope this helps:)
Answer:
c.2
Step-by-step explanation:
f(x)=2 and where is x you place it with 2 and it won't change because there is no another number is the equation of f(X)
