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:92.4
Step-by-step explanation:
4x+7x=132
10x=132
x=132/10
x=13.2
4x=4×13.2
=52.8
5x=7×13.2
=92.4
Yarin can expect a $200 refund.
<h3>What is the difference between state tax and federal tax?</h3>
The differences between state and federal taxes as state taxes are collected by individual state governments to pay their unique state bills, as opposed to federal income taxes, which are collected by the federal government to pay for its expenses.
Given:
Yarin's gross pay for the year was $3,500.
The federal income tax withholding from his pay was 9% of his gross pay.
So,
= 9% of 3,500
= (9/100)(3,500)
= 0.09(3,500)
= $315
Now, Yarin determined the federal income tax he owes is $115.
Refund expected = $315- $115
= $200
Hence, Yarin can expect a $200 refund.
Learn more about the federal income tax here:
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Answer:
1) 2/3
2) 1/2
3) 4/5
4) 3/4
Step-by-step explanation:
4/6 can be divided by 2 to get 2/3 in its simplest
2/4 can be divided by 2 to get 1/2 in its simplest
12/15 can be divided by 3 to get 4/5 in its simplest
6/8 can be divided by 2 to get 3/4 in its simplest
Answer:
x = 23
Step-by-step explanation:
2x + 19 + 5x = 180
I say this because it is an angle that is equivalent to the one adjacent to 2x+19, which is on a straight line. That means it is equal to 180.
7x + 19 = 180
180 - 19 = 7x
161/7 = x
x = 23
