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disa [49]
3 years ago
11

Image attached. Geometry: finding angles

Mathematics
1 answer:
miv72 [106K]3 years ago
4 0

Answer:

28 degrees

Step-by-step explanation:

Because a triangle equals 180, you can subtract 90 and 34 from triangle ABE to leave you with 56 degrees for angle B.

Since CBA is a straigth line with 180 degrees, you can subtract 56 to end up with 124 degrees for angle CBE.

Since line BD bisects angle EBC (splits in half), you can divide the 124 degrees into 62 degrees.

Now that we know angle CBE equals 62 degrees, we can add the 90 degrees and subtract them from the 180 degrees of the triangle.

62+90=152

180-152=28

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The described picture frame can be visualized into two separate parts. The first area is equal to the area using the outermost dimensions for the length and width. 
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We are given that the area is only equal to 192 in². We subtract this value from the computed area.
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This area is equal to the area of the hollow space inside the frame. That is equal to,
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Simplify the right hand side of the equation.
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Transposing,
                x² - 17x - 48 = 0
The factors of the equation is 58.2. 

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