Answer:
(x-y)(x-y-3)
Step-by-step explanation:
(x-y)² - 3(x-y)
take (x-y) common,
(x-y)(x-y-3)
In order for the triangle to be isosceles, we have to set two lengths of the triangle equal to each other.
Let's take the lengths 5x-12 and x+20 and set them equal to each other.
5x - 12 = x + 20
Combine like terms by moving them over to their respective sides.
Subtract x from both sides of the equation.
4x - 12 = 20
Add 12 to both sides of the equation.
4x = 32
Divide both sides by 4.
x = 8
Check your answer by substituting.
5x - 12 = x + 20
5(8) - 12 = 8 + 20
40 - 12 = 28
28 = 28
Solution: x = 8
¹/₃(33x + 15) - ¹/₃(21x + 18) = 10
¹/₃(33x) + ¹/₃(15) - ¹/₃(21x) - ¹/₃(18) = 10
11x + 5 - 7x - 6 = 10
11x - 7x + 5 - 6 = 10
4x - 1 = 10
+ 1 + 1
4x = 11
4 4
x = 3³/₄
Answer:
She has walked <u>7233.6 ft</u>
Step-by-step explanation:
13.7 miles ÷ 10 = 1.37 miles
1 mile = 5280 ft
5280 x 1.37 = 7233.6 ft (or 7234 if rounded to the nearest ft)
The value of x is 28 .
<h3>What is a Triangle ?</h3>
A triangle is a polygon with three sides , three angles and three vertices.
According to the Proportionality Theorem
When a line is parallel to one side and intersects the other lines at two different points then it divides both the line in similar ratio.
As in the given figure DC is parallel to AP ,
then RD : DP = RC:CA
42:15 = x: 10
42/15 = x / 10
x = 42 * 10 /15
x = 28
Therefore the value of x is 28 .
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