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kherson [118]
3 years ago
15

Explain the connection between ∠2 and ∠B.

Mathematics
2 answers:
ale4655 [162]3 years ago
6 0

Angle 2 and Angle B are both the same

180-50-65= 65 (angle sum of a triangle is 180 degrees) B = 65 degrees

180-50-65= 65 (angle sum on a straight line is 180 degrees) 2= 65 degrees

Thus Angle 2 and Angle B are both the same

Tatiana [17]3 years ago
4 0

Answer:


Step-by-step explanation:

The sum of the measures of the interior angles of a triangle is 180°. m∠B + 50 + 65 = 180, so m∠B = 65°. The sum of adjacent angles forming a straight line is also 180°. m∠2 + 50 + 65 =180, so m∠2 = 65°. The angles are congruent. THIS IS IT WORD FOR WORD

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9 minus the quotient of 2 and a number x
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3 years ago
The window in Mr. Rodriguez's attic is in two parts, each shaped like a trapezoid and each with identical dimensions.
WINSTONCH [101]
<h2>Answer:</h2>

\boxed{A=552in^2}

<h2>Step-by-step explanation:</h2>

The window is shown below, so we have two trapezoids. A trapezoid is a quadrilateral (polygon with exactly 4 sides) where at least one pair of opposite sides are parallel. The area of a trapezoid can be found as:

A=\frac{(b_{1}+b_{2})h}{2} \\ \\ Where: \\ \\ b_{1} \ and \ b_{2} \ are \ the \ parallel \ sides \ and \ h \ the \ height

Since there are two trapezoids and each with identical dimensions, we can find the area of the window by finding the area of one trapezoid and multiplying this result by 2:

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A=(16+30)\times 12 \\ \\ \therefore \boxed{A=552in^2}

4 0
3 years ago
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4 years ago
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4 years ago
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