Use distribution
-5t - 30 + 7t = 100
Combine like terms
2t - 30 = 100
Add 30 to both sides
2t = 130, t = 65
Solution: t = 65
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
Answer:
5 = term
sum = +
product = x or * (times)
4 = coefficent
quotient = division symbol
factor = 2
Step-by-step explanation:
Decimal: 5.0
Fraction: 5/1