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o-na [289]
2 years ago
14

In triangle PQR, m∠P = 30°, m∠Q = 90°, and m∠R = 60°. If the triangle is rotated 90° clockwise about a point, what is the measur

e of the image of ∠P?
Mathematics
1 answer:
bixtya [17]2 years ago
8 0

m<P=60°

Refer to the attachments

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Complete the following proof. Prove: In an isosceles triangle, two medians are equal.
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Answer:

Midpoint of AB              = (0 + 2a / 2 , 0 + 0 / 2) = (2a / 2 , 0 / 2) = (a,0)

x coordinate of point c = a

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                                NB = √(a / 2 - 2a)² + (b / 2 - 0 )²

                                      = √( a / 2 - 4a / 2)² + (b / 2 - 0)²

                                      = √(-3a / 2)² + (b / 2)² = √9a² / 4 + b² / 4

Step-by-step explanation:

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First, we obtain the gradient (slope) of the first parallel line

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Recall that since both lines are parallel, we have that,

m_1=m_2

Thus

m_2\text{ = 1}

Hence, we can find the equation of the parallel line given that it passes through the points (-4, -3)

Using

\begin{gathered} y\text{ = mx + c} \\ \text{where m = m}_2\text{ = 1} \\ \text{and x = -4 ,  y = -3, we have} \\ -3\text{ = 1(-4) + c} \\ -3\text{ = -4 + c} \\ 4\text{ - 3 = c} \\ c\text{ = 1} \\ \text{Thus, the equation of the line is y = (1)x + 1} \\ y\text{ = x + 1} \end{gathered}

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(x+2)·2x + (x-1)^2= 2 ?
lisov135 [29]

Answer:

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Combine terms.

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Combine terms again.

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Subtract 2 from both sides.

3x² + 2x - 1 = 0

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(3x - 1)(x + 1) = 0.

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Subtract 1 from both sides.

x = -1.

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