The acute angles of a right triangle are complementary, so
α + β = 90
(5x/3 +20) + (2x/3) + 14) = 90 . . . . . . substitute given values
7x/3 +34 = 90 . . . . . . . . . . . . . . . . . . . collect terms
7x/3 = 56 . . . . . . . . . . . . . . . . . . . . . . . subtract 34
x = (3/7)*56 = 24 . . . . . . . . . . . . . . . . . multiply by 3/7
Then the value of α is ...
α = 5*24/3 +20 = 60
The answer is A, c, e. It is since the one first listed is always on the x- axis and the second is always the y-axis. So u just apply that and u get a, c, and e. The answer is A.C.E.
X is the amount of everything. (total)
x = 20 + j
Answer:
Step-by-step explanation:
In ΔABC & ΔDCE
DE // AB Given
∠CDE ≅ ∠CAB Corresponding angles are congruent
∠CED ≅ ∠CBA Corresponding angles are congruent
ΔABC ~ Δ DEC AAA similarity
