Answer:
x = 32
m∠7 = 94
m∠8 = 86
m∠3 = 94
Step-by-step explanation:
(2x + 30) + (3x - 10) = 180
5x + 20 = 180
5x = 160
x = 32
m∠7 = 2(32) + 30 = 94
m∠8 = 3(32) - 10 = 86
<u>or</u>
m∠8 = 180 - 94 = 86
<u>m∠3 ≈ m∠7</u> (corresponding angles)
Answer:
Step-by-step explanation:
2x² + 9x = -7
2x² + 9x + 7 = 0
When we multiply we should get 2*7 = 14 and when we add we should get 9. Find the factors of 14 ---> 1,2,7,14. Factors are 2,7 as when we multiply we get 14 and we we add, get 9
2x² + 2x + 7x + 7 = 0
2x( x + 1) + 7 (x + 1) = 0
(x + 1)(2x + 7) = 0
You can use a matrix equation to discover that the motel clerk has 45 $1 bills and 12 $10 bills.