Answers:
Angle A = 62.1 degrees
Angle X corresponds to angle A
The triangles are not similar
=========================================
Explanation:
To find angle A, subtract the given angles B and C from 180 to get 180 - B - C = 180 - 60.8 - 57.1 = 62.1 degrees
Notice how none of the angles of triangle ABC have a measure of 59.1, so this means that angle Y cannot be congruent to any of A, B or C. This is why the triangles are not similar. We would need 2 pairs of congruent angles to use the AA (angle angle) similarity theorem.
If the triangles were similar, then we can say triangle ABC is similar to triangle XYZ. The letters A and X are the first letters mentioned of the trio of letters, which means that they correspond to one another.
Answer:
a.) w = 103 * 1.08^t
b.) 3.5weeks
Step-by-step explanation:
If Her current weight is 103 pounds and she hopes to multiply her her weight each week by 1.08, then
her weight after 1 week = 103 * 1.08 = 103 * 1.08¹
Her weight after 2 weeks = [weight of week 1] * 1.08 = [103* 1.08] * 1.08 = 103 * 1.08²
Weight after 3 weeks= [weight of week 2] * 1.08 = [103 * 1.08 * 1.08] * 1.08 = 103 * 1.08³
Hence weight (W) after t weeks = 103 * 1.08^t
b.) If W = 135, Then
103 * 1.08^t = 135
1.08^t = 135/103
1.08^t = 1.31
Taking log of both sides,
log 1.08^t = log 1.31
t log 1.08 = log 1.32
t = log 1.32/log 1.08
t = 3.5 weeks.
Hence, it will take her 3½ weeks to get to 135pounds weight.
I ampretty sure she traveled 3 1/2 miles. I hoped that helped :)
Answer:
Step-by-step explanation:
Can u help me on the joy with milk please