What number makes 7+n and 7-n equal
1 answer:
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Answer:
x = 5 (check the diagram included)
Step-by-step explanation:
The question is incomplete, I have included a diagram to aid the understanding of the question
Parallelograms are quadrilaterals which have their opposite sides parallel and equal. This also means that the opposite angles in a parallelogram are equal
From the attached figure, we have:
|FG| = 3x + 10, |HE| = 7x - 30
To calculate for the value of x that makes the quadrilateral a parallelogram, we have:
Remember the opposite sides of a parallelogram are equal
3x + 10 = 7x - 30
3x - 7x = 10 - 30
-4x = -20
x = 20 ÷ 4
x = <u>5</u>
x = 5 makes the quadrilateral a parallelogram
Answer:
25 in by 45 in.
Step-by-step explanation:
The length of the box will be x + 20 - 10 - 10 = x
The width of the box will be x - 10 - 10 = x - 20
The height of the box will be 10
So the volume = length x width x height
= x(x - 20)10 = 1250
=
= 0
10(x + 5)(x - 25) =0
x = -5 x = 25
- 5 must be discarded since a length cannot be negative.
Therefore x = 25 in = width of piece of cardboard
x + 20 = 25 + 20 = 45 in = length of piece of cardboard
Solve the terms in parentheses first. We'll start on the denominator.
The denominator has an exponent for a fraction that also includes exponents. To multiply exponents within parentheses that are raised to a power, use this rule:
Simplify the denominator:
Solve the fractions in the numerator:
The problem should now read:
There is a denominator in a denominator. We can bring that to the numerator of the overall fraction:
Using a calculator, simplify the numerator:
The fraction should now read:
There is a denominator in the numerator. This can be brought down to the overall denominator:
Factor 19683:
Simplify the exponents:
The following fraction will be your answer: