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Airida [17]
3 years ago
11

If triangle STU is similar to triangle VWX, which statement is true about the two triangles?

Mathematics
2 answers:
marshall27 [118]3 years ago
6 0

Answer:

D. segment TU is proportional to segment WX and ∠S is congruent to ∠V

Step-by-step explanation:

We are given that, triangles STU is similar to triangle VWX.

Now, when two triangles are similar, the order of the letters is important and so, the corresponding angles are congruent (equal) and the corresponding sides are proportional.

So, as ΔSTU is similar to ΔVWX.

ST is proportional to VW and TU is proportional to WX

∠S is congruent to ∠V and ∠U is congruent to ∠X.

Therefore, according to the options, we see that side TU is proportional to side WX and ∠S is congruent to ∠V.

Hence, option D is correct.

const2013 [10]3 years ago
4 0
B. Segment TU is proportional to segment WX, and angles S and V are proportional
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Read 2 more answers
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
saul85 [17]

Answer:

4b. −6x + y = −4

4a. 7x + 4y = −12

3b. y = ½x + 3

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1b. y = -x + 5

1a. y = 5x - 3

Step-by-step explanation:

4.

Plug the coordinates into the Slope-Intercept Formula first, then convert to Standard Form [Ax + By = C]:

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2 = 6[1] + b

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_________

−6x + y = −4 >> Standard Equation

a.

4 = −7⁄4[-4] + b

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−3 = b

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+7⁄4x +7⁄4x

____________

7⁄4x + y = −3 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]

4[7⁄4x + y = −3]

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__________________________________________________________

3.

Plug both coordinates into the Slope-Intercept Formula:

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5 = ½[4] + b

2

3 = b

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a.

−1 = −6[1] + b

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5 = b

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* Parallel lines have SIMILAR <em>RATE OF CHANGES</em> [<em>SLOPES</em>].

__________________________________________________________

2.

b. y + 2 = −⅔(x + 3)

a. y - 3 = ⅘(x - 5)

According to the <em>Point-Slope Formula</em>, <em>y - y₁ = m(x - x₁)</em>, all the negative symbols give the OPPOSITE TERMS OF WHAT THEY REALLY ARE, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

__________________________________________________________

1.

b. y = -x + 5

a. y = 5x - 3

Just write out the Slope-Intercept Formula as it is given to you.

I am joyous to assist you anytime.

3 0
3 years ago
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