Answer:
a = 
b = 12
c = 
Step-by-step explanation:
Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.
A 45-45-90 right triangle has side lengths
.
A 30-60-90 right triangle has side lengths
.
Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.
Side a corresponds to side length
. Therefore,
.
Side b corresponds to side length 2, b = 2*6 = 12.
The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to
. This means
was multiplied by
. This means that side c is
.
Answer:
Option D
Step-by-step explanation:
This function has vertex at origin
Let's verify
Put (0,0)
Hence verified
Answer:
$13.75
Step-by-step explanation:
the bill before the tip is x.
0.20x = 2.75
now divide both sides by .20
x= 2.75/0.20
x=13.75
Sue Brown owe $280.00 in state taxes for the month. Option B is correct.
Step-by-step explanation:
Gross pay for June= $8000
State tax rate = 3.5%
We need to find how much will Sue Brown owe in state taxes for the month.
We need to find 3.5% of 8000
Solving:

So, Sue Brown owe $280.00 in state taxes for the month.
Option B is correct.
Keywords: Income Tax amount
Learn more about finding income tax amount at:
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1 Substitute
y
=
2
x
−
10
y=2x−10 into
y
=
4
x
−
8
y=4x−8.
2
x
−
10
=
4
x
−
8
2x−10=4x−8
2 Solve for
x
x in
2
x
−
10
=
4
x
−
8
2x−10=4x−8.
x
=
−
1
x=−1
3 Substitute
x
=
−
1
x=−1 into
y
=
2
x
−
10
y=2x−10.
y
=
−
12
y=−12
4 Therefore,
x
=
−
1
y
=
−
12
x=−1
y=−12