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Svetradugi [14.3K]
3 years ago
15

Given: △RST ~ △VWX

Mathematics
1 answer:
tatiyna3 years ago
4 0

Answer:

Given

Step-by-step explanation:

Given that: △RST ~ △VWX, TU is the altitude of △RST, and XY is the altitude of △VWX.

Comparing △RST and △VWX;

TU ~ XY (given altitudes of the triangles)

<TUS = <XYW (all right angles are congruent)

<UTS ≅ <YXW (angle property of similar triangles)

Thus;

ΔTUS ≅ ΔXYW (congruent property of similar triangles)

<UTS + <TUS + < UST = <YXW + <XTW + <XWY = 180^{0} (sum of angles in a triangle)

Therefore by Angle-Angle-Side (AAS), △RST ~ △VWX

So that:

\frac{TU}{XY} = \frac{US}{YW} (corresponding side length proportion)

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Gnesinka [82]

Answer: x = -8

Step-by-step explanation: To solve for <em>x</em> in this equation, our first task is to simplify the left side by distributing the 12 through both terms inside the parentheses.

When we do that, we get 12 times x which is

12x and 12 times 10 which is 120.

So we have 12x + 120 = 24.

Our next task is to isolate the x term by subtracting 120 from both sides of the equation. On the left, 120 - 120 cancels and we're left with 12x. On the right, 24 - 120 simplifies to -96 so we have 12x = -96.

To get <em>x</em> by itself, we divide both sides by 12 and <em>x = -8</em>.

Work is also attached in the image provided.

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3 years ago
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svet-max [94.6K]

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

1) log₆ 40

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The correct answer is y=2x+7 because when we write an equation in slope intercept form (y=mx+b) you replace m with the slope and b with the y-intercept.

Hope this helps! <3

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What are the solutions to the quadratic equation 40 − x2 = 0?
Zinaida [17]
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Answer:

Step-by-step explanation:

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