Answer:
A = 37 degrees ; B = 82 degrees
Step-by-step explanation:
the angle A plus 143 must measure 180 degrees
angle A = 180 - 143 = 37 degrees
the sum of the inner angles of a triangle is 180 degrees
A + B + C = 180
37 + B + 61 = 180
B = 180 - 98 = 82 degrees
Answer:
Step-by-step explanation:
x
=
0
Answer:
6 units
Step-by-step explanation:
A = lw
l = w + 2
48 = lw
48 = (w + 2)w
48 = w² + 2w
0 = w² + 2w - 48
Quadratic equation results =
w = 6 or w = -8
But the measure could not be negative, therefore w = 6
Answer:
10 2/15 hours
Step-by-step explanation:
If we have a candle that is 11 2/5 inches tall
It burns 1 1/8 inches per hour. We need to divide to see how long the candle will last
11 2/5 ÷ 1 1/8
I will convert the mixed numbers to improper fractions
11 2/5 = (5*11+2)/5 = 57/5
1 1/8 = (8*1+1)/8 = 9/8
57/5 ÷ 9/8
Copy dot flip
57/5 * 8/9
456/45
Now we change it back to a mixed number
45 goes into 456 10 times with 6 left over
10 6/45
This simplifies to 10 2/15