The value of the scale factor is 3. Then the height and area of the triangle ΔABC will be 9 ft and 54 square ft.
<h3>What is dilation?</h3>
Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.
The area of the triangle ΔDEF is 6 square ft. And the base length of the triangle ΔDEF is 4 ft.
The area of the triangle is given as

Then the height of the triangle ΔDEF will be

Then the scale factor will be

Then the height of the triangle ΔABC will be

Then the area of the dilated triangle ΔABC will be

More about the dilation link is given below.
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Answer:
x= 12/5
Step-by-step explanation:
Also, if you mean simplify, it can no longer be simplified, so it would just be
1/4x-3/5.
Hope this helps!!
Plz let me no if I'm wrong.
Angles 1 and 3 are vertical lines and because they are vertical, both angles equal each other.
Answer:
240
12.5p + 65
14
p
Step-by-step explanation:
I'll explain the equation in different parts
12.5p - Since the number of times he visits is unknown, it has to be a variable. With each visit, however, he earns 12.5 points.
65 - This is a set value that remains constant
240
- Since he needs AT LEAST 240 points, he needs 240 points or more to get his free ticket
As for solving the equation just use properties of equality
240
12.5p + 65
175
12.5p
14
p
Answer:
<u>The correct answer is D. 53x - 12</u>
Step-by-step explanation:
Let's find P(x), this way:
Profits = Revenue - Cost
Profit function = Revenue function - Cost function
P (x) = R (x) - C (x)
Replacing with the real values we have:
P (x) = 60x - (12 + 7x)
P (x) = 60x - 12 - 7x
P (x) = 53x - 12
<u>The correct answer is D. 53x - 12</u>