Let the second side be x
then,
first side = twice the length of the second side
= 2x
third side = 20 feet less than three times the second side
3 (second side ) - 20
= 3 (2x) -20
= 6x - 20
perimete of a triangle = sum of all sides,
substitute the values we know,
and you'll be left with this equation
106 = x + 2x + 6x - 20
106+ 20 = 9x
126 = 9x
126/9 = x
14 = x
so,
measure of second side = x = 14 feet
measure of first side = 2x = 2 (14) = 28 feet
measure of thurd side = 6x - 20 = 6 (14)-20 = 84- 20 = 64 feet.
Answer:
120 degrees
Step-by-step explanation:
BOTH they both are correct bc they both state the same thing perimeter is both length+ both width's so l+l+w+w=2l+2w
Answer:
B
Step-by-step explanation:
To solve using synthetic division:
Draw an upside down division symbol (I did the best I can given the format). Place the constant of x - 1 (1) on the outside, and the coefficients of x³ - 2x² - 1 on the inside, like so:
| x³ x² x¹ x⁰
1 | 1 -2 0 -1
|
|___________
Next, bring down the first coefficient.
| x³ x² x¹ x⁰
1| 1 -2 0 -1
|
|___________
1
Multiply the number on the outside of the symbol (1) by the coefficient you've just brought down (1). Place that number under the next coefficient to the right.
| x³ x² x¹ x⁰
1| 1 -2 0 -1
| 1
|___________
1
Add the new number (1) to the coefficient above it (-2) and place that number directly underneath it.
| x³ x² x¹ x⁰
1| 1 -2 0 -1
| 1
|___________
1 -1
Continue this process until you've run out of numbers to multiply.
| x³ x² x¹ x⁰
1| 1 -2 0 -1
| 1 -1 -1
|___________
1 -1 -1 -2
The resulting numbers are coefficients. The first three are part of the quotient, and the last one is part of the remainder. The remainder becomes the last coefficient (-2) over the divisor (x - 1).
Answer:
(x³ - 2x² - 1) / (x - 1) = x² - x - 1 + -2/x - 1
