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marin [14]
3 years ago
6

Find m < BCS if m< BCD = 174 and m< SCD = 150

Mathematics
1 answer:
Kitty [74]3 years ago
3 0

∠SCD =150 and ∠BCD=174 (Given)

∠BCS + ∠SCD = ∠BCD (Segment Addition Postulate)

∠BCS + 150 = 174 (Substitution)

∠BCS = 24 (Subtraction Property of Equality)

Answer: 24

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After triangle ACE is dilated by a factor of 6, it has an area of 180 square inches. What was its area before dilation?
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Answer:

The area of triangle ACE before dilation is:  30 square inches

Step-by-step explanation:

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

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The length of the image can be determined by multiplying the length of the original point by a certain scale factor.

Given that after triangle ACE is dilated by a factor of 6, it has an area of 180 square inches.

Thus, it means the dilated area is 6 times the area before dilation.

Let x be the pre-dilation area

As the dilated area is 6 times the area before dilation, so

6x = 180

divide both sides by 6

6x/6 = 180/6

x = 30 square inches.

Therefore, the area of triangle ACE before dilation is:  30 square inches

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