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Oliga [24]
3 years ago
14

Is WXY ~ ZYV? Justify your answer. The image is not drawn to scale.

Mathematics
2 answers:
Nataliya [291]3 years ago
8 0
I hope this helps you

lana [24]3 years ago
4 0

Answer: C. Yes, WXY ~ ZYV with a scale factor of 9:8.

Step-by-step explanation:

In the given picture, we have two triangles Δ WXY and Δ ZYV in which

\angle {X}=\angle{Y}               [Right angle]

\angle {W}=\angle{Z}  

Therefore, by AA- similarity postulate, we have

\triangle{WXY}\sim\triangle{ZYV}

The scale factor is given by :-

k=\dfrac{WX}{ZY}=\dfrac{XY}{YV}=\dfrac{WY]{ZV}

\Rightarrow k=\dfrac{18}{16}=\dfrac{6.75}{6}=\dfrac{22.5}{20}=\dfrac{9}{8}

Hence,  \triangle{WXY}\sim\triangle{ZYV} with scale factor of 9:8 .

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For the triangles described, which of the following statements must be true? In triangle DEF, DE=8 in., DF=23 in., and ∡D=16°. I
Temka [501]

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∠Q≅∠F

Step-by-step explanation:

Two triangles are said to be congruent if all the three sides of the triangles are equal and all the three angles are equal.

Given that: In triangle DEF, DE=8 in., DF=23 in., and ∡D=16°. In triangle PQR, PQ=23 in., PR=8 in., and ∡P=16°.

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If g(x)= 4x^2-16 we’re shifted 9 units to the right and 1 down, what would the new equation be
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Answer:

A

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A shift along the x-axis is the opposite in the graph than in the equation. Rather than the x-intercept(s) being negative if the equation is x - n, they become positive; likewise for the other way around. A is the only answer that follows this rule. However, the y-intercept is y = n, so if n is negative, y gets shifted down rather than up.

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