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GalinKa
13 days ago
8

The triangles below are similar. Triangle X Y Z. Side X Z has a length of 12, Z Y is 16, Y X is 14. Triangle R Q S. Side R Q is

3.5, Q S is 4, S R is 3. Which similarity statement expresses the relationship between the two triangles?
Mathematics
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In △ABC , m∠A=53°,m∠B=17°, and a=27. Find the perimeter of the triangle.
lawyer [12517]
Utilizing the Law of Sines (sinA/a=sinB/b=sinC/c) and recognizing that the angles in a triangle add up to 180°.

The angle C calculates to 180-53-17=110°

Thus, we have 27/sin53=b/sin17=c/sin110

This leads to b=27sin17/sin53, c=27sin110/sin53

The perimeter is defined as a+b+c, so

p=27+27sin17/sin53+27sin110/sin53 units

p≈68.65 units (rounded to the nearest hundredth of a unit)
6 0
2 months ago
c) Keeping all other criteria the same, add a child to the family you used in part a to determine the monthly expenses. How does
Leona [12618]

Answer:

With the addition of a child, both the family's income and expenses increase. Although the initial expenses might be higher, the financial benefits will manifest over time.

5 0
3 months ago
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