9514 1404 393
Answer:
B'D' ║ BD and will be shorter than segment BD.
Step-by-step explanation:
A scale factor of 1/3 means all image segments are 1/3 the length of the preimage segments (that is, <em>shorter</em>).
Image segments not on a line through point A(1, 2) will be parallel to the preimage segments.
For this dilation, ...
segment B prime D prime will be parallel to segment BD and will be shorter than segment BD.
Simplifying
5n + 3 = 2(n + 2) + 3n
Reorder the terms:
3 + 5n = 2(n + 2) + 3n
Reorder the terms:
3 + 5n = 2(2 + n) + 3n
3 + 5n = (2 * 2 + n * 2) + 3n
3 + 5n = (4 + 2n) + 3n
Combine like terms: 2n + 3n = 5n
3 + 5n = 4 + 5n
Add '-5n' to each side of the equation.
3 + 5n + -5n = 4 + 5n + -5n
Combine like terms: 5n + -5n = 0
3 + 0 = 4 + 5n + -5n
3 = 4 + 5n + -5n
Combine like terms: 5n + -5n = 0
3 = 4 + 0
3 = 4
Solving
3 = 4
The left and right sides are not equal, therefore there is no solution.
Answer:
<u>Part 1:</u> Find (f/g)(4) = 3
<u>Part 2:</u> Find (f+g)(4) = 28
Step-by-step explanation:
<u>Part 1:</u> Find (f/g)(4):
(f/g)(4) means <em>divide f function by g function and simplify it. Then plug in 4 into x of that simplified function.</em>
Let's do this:

Plugging in 4 into x gives us:

The answer is 3
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<u>Part 2:</u> Find (f+g)(4):
(f+g)(4) <em>means add f function and g function and simplify it. Then plug in 4 into x of that simplified function.</em>
Let's do this:

Plugging in 4 into x gives us:

The answer is 28
Answer:
D. X= -3/2, y= 4
Step-by-step explanation:
Just took the test
Answer:
60
Step-by-step explanation:
Since the perimeters are equal then:
(3x + 3) * 4 = (x + 8) * 5
12x + 12 = 5x + 40
7x = 28
x =4
Perimeter of square = (3*4 + 3) * 4 =
(12 + 3) * 4 = 60
Perimeter of pentagon = (4 + 8) * 5 =
(12) * 5 = 60
The answer is 60