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:
a) 7:10
Step-by-step explanation:
An example of this would be having seven blue marbles and three red marbles in a jar. If you randomly select one, the chance of that marble being blue is seventy, because 10 (total number of marbles) divided by seven (number of blue marbles) is 0.70, and if you convert this to a whole number (by multiplying it by 100) you get 70.
Answer:
<h2>21.4368 ≅ 21.44 million households owned at least two cats.</h2>
Step-by-step explanation:
Total number of households were 116 million.
Hence, 100% = 116 million.
33% of the total US households owned at least one cat.
Hence, the number of household having at least one cat is
million.
It is also given that 56% of that 38.28 million households owned at least 2 cats.
Hence, the number of households having 2 cats is
million.
Answer: 2/3
Cathy rolls a number cube that is labeled from 1 to 6.
Total outcomes = {1,2,3,4,5,6}
she rolls an even number or a multiple of 3
Outcomes of an even number = {2,4,6}
Outcomes of multiple of 3 = {3,6}
so favorable outcomes of even number or a multiple of 3 = {2,3,4,6}
Probability ( any event) =number of favorable outcomes divide by total number of outcomes
probability(even number or a multiple of 3) = 
The standard form of a line:

We have the equation of a line in the slope-point form:
use distributive property
add 3 to both sides
multiply both sides by 2
subtract x from both sides
change the signs
