1.) The Difference between seven times one number and three times a second number is 25. The sum of twice the first and five tim
es the second is 95. Find the Numbers.
2.) The sum of two numbers is 15. Twice one number equals 3 times the other. Find the numbers.
PLEASE HELP ASAP!!
2.) The sum of two numbers is 15. Twice one number equals 3 times the other. Find the numbers.
PLEASE HELP ASAP!!
1 answer:
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Answer:
Trapezoid 1 (left side):
Base 1 = 2
Base 2 = 5
Trapezoid 2 (right side):
Base 1 = 6
Base 2 = 8
Step-by-step explanation:
<u>1st trapezoid:</u>
b_1 = x
b_2 = x + 3
h = 4
Hence, area (from formula) would be:
<u>2nd trapezoid:</u>
b_1 = 3x
b_2 = 4x
h = 2
Putting into formula, we get:
Let's equate both equations for area and find x first:
We can plug in 2 into x and find length of each base of each trapezoid.
Trapezoid 1 (left side):
Base 1 = x = 2
Base 2 = x + 3 = 2 + 3 = 5
Trapezoid 2 (right side):
Base 1 = 3x = 3(2) = 6
Base 2 = 4x = 4(2) = 8