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VARVARA [1.3K]
4 years ago
15

What is the answer to this question

Mathematics
1 answer:
marta [7]4 years ago
7 0

Answer:x=21°

Step-by-step explanation:

Using elementary theorem

5x°+3x°+12°=180° ( angle on a straight line)

8x=180-12

8x=168°

x=21°

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The triangles are similar.
timurjin [86]

Answer:

21

Step-by-step explanation:

You can do it two different ways.

1st. Find the scale factor by dividing - 75/25=3 or 72/24=3

This means the scale factor is three

Then multiply the remaining side (7) by the scale factor (3) to get: 21

2nd. Use the Pythagorean Theorem - 75²-72²=x²

441 = x²

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4 0
4 years ago
Under a dilation with a scale factor of 4/5 a 10-inch segment becomes a ___ -inch segment.
julsineya [31]

Answer:

8 inch

Step-by-step explanation:

dilation actor = 4/5

Scale dilation is used to change the dimensions of the line segment or anuy measurement in length.

So, 10 inch segment = \frac{4}{5}\times 10=8 inch

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4 years ago
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dangina [55]

Answer: \\ Since \:  \widehat{SRT} = \widehat{STR} \:  \\and \:  \widehat{RTU} = \widehat{STR} + \widehat{STU} = 180^{\circ}  \\ \Rightarrow  \widehat{SRT} + \widehat{STU} = 180^{\circ} \\ \Leftrightarrow 4x - 20 + 6x = 180 \\ \Leftrightarrow10x = 200 \\ \Leftrightarrow x = 20 \\ \widehat{SRT} = 4 \times 20 - 20 = 60^{\circ}

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3 years ago
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Answer:

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Step-by-step explanation:

Since the triangles share a side, they have a congruent leg. Looking at the tick marks, the triangles also have congruent hypotenuses. So, they are congruent by the Hypotenuse Leg theorem.

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Answer:

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