MATH SOLVE

4 months ago

Q:
# Similar triangles ABC and PQR are located on the coordinate plane. The sin A = sin P = 7 over 8. If triangle PQR is translated 3 units to the left and dilated by a scale factor of two, what is the resulting value of sin P? negative 7 over 8 4 over 5 7 over 8 14 over 16Question 2)If the tan of angle x is 4 over 3 and the triangle is dilated to be two times as big as the original, what would be the value of the tan of x for the dilated triangle? 8 over 6 4 over 3 8 over 3 The tan value cannot be determined for the dilated triangle.Question 3If the sin of angle x is 3 over 7 and the triangle is dilated to be three times as big as the original, what would be the value of the sin of x for the dilated triangle? 3 over 7 6 over 14 9 over 21 The sin value cannot be determined for the dilated triangle.

Accepted Solution

A:

When you dilate a triangle, the angles don't change, then the trigonometric functions don't change.

Question 1

Answer: The resulting value of sin P is: Third option 7 over 8

Question 2

Answer: The value of the tan of x for the dilated triangle would be: Second option 4 over 3

Question 3

Answer: The value of the sin of x for the dilated triangle would be : First option 3 over 7

Question 1

Answer: The resulting value of sin P is: Third option 7 over 8

Question 2

Answer: The value of the tan of x for the dilated triangle would be: Second option 4 over 3

Question 3

Answer: The value of the sin of x for the dilated triangle would be : First option 3 over 7