Answer: 11x
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Explanation:
Let L be the length of rectangle B
There are two copies of L (along the top and bottom of the rectangle). The vertical pairs of sides are both 7x each.
For the triangle, we have three sides of 12x since this is an equilateral triangle. All three sides are congruent for any equilateral triangle.
The perimeter of the triangle is
P = s1+s2+s3
P = 12x+12x+12x
P = 36x
The perimeter of the rectangle is
P = 2*L+2*W
P = 2L+2*7x
P = 2L+14x
Since both perimeters are the same, this means
perimeter of triangle = perimeter of rectangle
36x = 2L+14x
36x-14x = 2L+14x-14x
22x = 2L
2L = 22x
2L/2 = 22x/2
L = 11x
So the length of the rectangle, in terms of x, is 11x. This is the final answer.
Note: if we knew the value of x, then we could find the numeric value of the length for the rectangle. But since we don't know x, we leave it as 11x.
Answer:
33.33% probability of winning the car
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
There are 3 doors.
One of them has the car.
What is the probability of winning the car?
1/3 = 0.3333
33.33% probability of winning the car
Answer:
240
Step-by-step explanation:
Assign Variables:
(I will choose mine a little bit differently)
d = length of garden
d = 20 feet
w = width of garden
A = area of garden
Equations and Solution:
A=d%2Aw and perimeter given as 64 feet means 2d%2B2w=64.
We know what is the d value, so we want to solve for w.
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2w=64-2d
w=32-d
w=32-20
highlight%28w=12%29 feet
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FINDING AREA VALUE
A=d%2Aw
A=20%2A12
highlight%28A=240%29 square feet
Answer:
the answer is in the picture below
Step-by-step explanation:
Given the greatest common divisor and the least common multiple, the least possible value of mn is 896
<h3>How to determine the least possible value of mn?</h3>
The given parameters are:
M and N are positive integers
Greatest common divisor = 8
Least common multiple = 112
As a general rule;
The product of the greatest common divisor and the least common multiple of numbers represent the product of the numbers
This means that
mn = Greatest common divisor * Least common multiple
So, we have
mn = 8 * 112
Evaluate
mn = 896
Hence, the least possible value of mn is 896
Read more about least common multiple at
brainly.com/question/10749076
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