3/2+2m=7/2, find what the answer is
1 answer:
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x = 8
Solution:
Side-splitter theorem:
<em>If a line is parallel to one side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally.</em>
Do cross multiplication, we get
⇒ 4 × 42 = 21x
Divide by 21 on both sides, we get
⇒ 4 × 2 = x
⇒ 8 = x
Switch the sides.
⇒ x = 8
The value of x is 8.
Answer:
Step-by-step explanation:
The area of a rectangle is:
First let's write both the length and the width in terms of x:
<u>How we obtained the answer</u>:
The question states the length is "2 less than x". In this case, "less" is a keyword that represents subtraction. Therefore, "2 less than x" is "x-2".
<u>How we obtained the answer</u>:
The question states the width is "5 less than twice of x". First, start by figuring out what "twice of x" is. The keyword is "twice" which represents multiplication. Therefore, "twice of x" can be written as "2x". Then, using the same keyword from before ("less"), "5 less than..." represents "2x-5".
Given:
Area = 56 cm
Find:
x
FOIL (Firsts, outsides, insides, lasts):
Subtract 10 from both sides:
Subtract 46 from both sides (forms a quadratic equation):
Use the quadratic formula:
where
Therefore:
The answer is:
This is because if we used subtraction, we would get a negative value, and we cannot have a negative length/width.