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tamaranim1 [39]
3 years ago
9

2. Which angle in the figure below measures 90 degrees? Explain why. (3 points)

Mathematics
1 answer:
Dominik [7]3 years ago
6 0

Answer:

<BKC

Step-by-step explanation:

m<DKC = 20°

m<BKD = 70°

m<BKC = m<DKC + m<BKD (angle addition postulate)

m<BKC = 20° + 70° (Substitution)

m<BKC = 90°.

Therefore, the angle that equals 90° in the given figure is angle BKC.

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\frac { 33 }{ 100 } \\
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2 years ago
5. 3x + 5y + 5z =1<br> x - 2y = 5<br> 2x + 4y = 11
lilavasa [31]

Answer:

see explanation

Step-by-step explanation:

Given the 3 equations

3x + 5y + 5z = 1 → (1)

x - 2y = 5 → (2)

2x + 4y = 11 → (3)

Use (2) and (3) to solve for x and y

Multiply (2) by 2

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Add (3) and (4) term by term

4x = 21 ( divide both sides by 4 )

x = \frac{21}{4\\}

Substitute this value of x into (3)

2 × \frac{21}{4\\} + 4y = 11

\frac{21}{2\\} + 4y = 11 ( subtract \frac{21}{2\\} from both sides )

4y = \frac{1}{2} ( divide both sides by 4 )

y = \frac{1}{8\\}

Substitute the values of x and y into (1) and solve for z

3 × \frac{21}{4\\} + 5 × \frac{1}{8\\} + 5z = 1

\frac{63}{4} + \frac{5}{8} + 5z = 1

\frac{131}{8} + 5z = 1 ( subtract \frac{131}{8} from both sides )

5z = - \frac{123}{8} ( divide both sides by 5 )

z = - \frac{123}{40}

Solution is

x = \frac{21}{4\\}, y = \frac{1}{8\\}, z = - \frac{123}{40}

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3 years ago
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Answer:

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Step-by-step explanation:

Use the polar distance formula:

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1. Explain why the equation has two solutions. Then solve the equation to find the solutions
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There are no equations? Well there’s no picture
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