Answer:
The answer is 19.
Step-by-step explanation:
Given that these lines are parallel, these two angles together equal 180.
6x +4 + 4x -14 = 180
-4 +14 +10
6x + 4x = 190
10x = 190
x = 19
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Answer:
20
Step-by-step explanation:
In 12 years, the sum of their ages will be 24 more than it is now. The sum of their ages now is 61-24 = 37.
If Jennifer is 3 years older than Peter, we have ...
j + (j -3) = 37
2j = 40 . . . . . . add 3
j = 20 . . . . . . . divide by 2
Jennifer is now 20 years old.
_____
Peter is now 17 years old. In 12 years, they will be 29 and 32, so their ages will sum to 61.
P = perimeter
Perimeter of a rectangle = l + l + w + w
or P = 2l + 2w
You know:
P = 150 m
l = w + 5 [length is 5 m greater than the width]
P = 2l + 2w Plug in what you know
150 = 2(w + 5) + 2w Simplify, distribute/multiply 2 into (w + 5)
150 = 2w + 10 + 2w
150 = 4w + 10 Subtract 10 to both sides of the equation
140 = 4w Divide 4 on both sides
35 = w
PROOF l = w + 5 ---> l = 40
P = 2l + 2w
150 = 2(40) + 2(35)
150 = 80 + 70
150 = 150
Answer:
210,000
Step-by-step explanation:
20,000 * 6% = 1,200
20,000 + 1,200 = 21,000
21,000 * 10 = 210,000
Therefore your answer is 210,000