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Digiron [165]
3 years ago
5

Consider the two triangles.

Mathematics
1 answer:
GuDViN [60]3 years ago
4 0

Answer:

(A)Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.

\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}

Step-by-step explanation:

In Triangles WUV and XZY:

\angle VUW$ and \angle YXZ$ are congruent. \\\angle U W V$ and \angle X Z Y$ are congruent.\\ \angle U V W$ and \angle Z Y X$ are congruent.

Therefore:

\triangle UWV \cong  \triangle XZY

To show that the triangles are similar by the SSS similarity theorem, we have:

\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}

As a check:

\dfrac{UW}{XZ}=\dfrac{40}{32}=1.25\\\\\dfrac{WV}{ZY}=\dfrac{60}{48}=1.25\\\\\dfrac{UV}{XY}=\dfrac{50}{40}=1.25

The correct option is A.

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What is the diameter of a circular swimming pool with a radius of 8 feet?
Alenkasestr [34]
We know that,

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2 years ago
The constant of proportionality is always the point ____________, where kis the constant of proportionality.
spayn [35]

Answer:

The constant of proportionality is always the point (x, k * f (x), where k is the constant of proportionality.

Step-by-step explanation:

Let's take as example a linear function of the form: y = kx.

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Therefore, the proportionality constant is the point: (x, kx)

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Solve 3x+2y=7 and x-4y=-21 by using any method
kupik [55]

Answer:

(- 1, 5 )

Step-by-step explanation:

Using the method of substitution.

Given the 2 equations

3x + 2y = 7 → (1)

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Rearrange (2) expressing x in terms of y by adding 4y to both sides.

x = 4y - 21 → (3)

Substitute x = 4y - 21 into (1)

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