Answer:
x = 9
y = 13
Step-by-step explanation:
Side-Side-Side or SSS means that if all three sides of one triangle are equal to all three corresponding sides of another triangle, then the two triangles are considered to be congruent (equal).
Therefore, GH = PM ⇒ 7x + 8 = 6y - 7
and, GP = HM ⇒ 8x - 10 = 5y - 3
Rewrite the first expression to make x the subject, then substitute this into the second equation, and solve for y:
GH = PM
⇒ 7x + 8 = 6y - 7
⇒ 7x = 6y - 15
⇒ x = (6/7)y - 15/7
Substituting x = (6/7)y - 15/7 into GP = HM:
GP = HM
⇒ 8x - 10 = 5y - 3
⇒ 8[(6/7)y - 15/7] - 10 = 5y - 3
⇒ (48/7)y - 120/7 - 10 = 5y - 3
⇒ (13/7)y = 169/7
⇒ y = 13
Now we have found a value for y, substitute this into one of the expressions and solve for x:
8x - 10 = 5y - 3
⇒ 8x - 10 = (5 x 13) - 3
⇒ 8x - 10 = 62
⇒ 8x = 72
⇒ x = 9
M = Tim's dollar amount
R = Rebecca's dollar amount
MR = Tim and Rebecca's dollars together
R = (M x 1/10) - 6
MR = M + ((M x 1/10) - 6)
MR = 70 + ((70 x 1/10) - 6)
MR = 70 + (7 - 6)
MR = 70 + 1
MR = 71
Answer:
D. 90tan50 degrees
Step-by-step explanation:
The tree is known as the opposite leg of the 50 degree angle, and the given 90 feet is the adjacent leg. Here, we use tan because SOHCAHTOA can help us remember tan means opposite over adjacent. Then, we do tan50 degrees = (the height of the tree)/90. To solve, multiply tan50 by 90. This gives us the height of the tree = 90tan50 degrees.
Answer:
-0.75
Step-by-step explanation:
