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mestny [16]
3 years ago
13

Figure ABCD is translated down by 6 units:

Mathematics
1 answer:
MaRussiya [10]3 years ago
3 0

Translation does not affect angles or side lengths. Sides that are parallel before translation remain parallel after translation.

The only parallel sides in this figure are AD and BC, so the only reasonable choice is ...

... A'D' ║ B'C'

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The average daily temperature for july 1963
Natali [406]
It was 63 degrees fahrenheit.
5 0
3 years ago
Read 2 more answers
If RS=3x + 1, ST= 2x - 2, and RT=64 find the value of x
Ulleksa [173]
For this question, we can assume that RS + ST = RT.  So now, we just have to plug in the expressions for these lengths, and solve the equation.

(3x+1) + (2x-2) = 64

Because we are only dealing with one operation, the parentheses aren't necessary.

3x + 1 + 2x - 2 = 64

Next, we should combine like terms on the left side of the equation. We know that 3x + 2x = 5x, and that 1 - 2 = -1.

5x - 1 = 64

The goal of an equation is to get the variable alone.  To do this, we have to get rid of the -1 on the left side of the equation.  So, we are going to add 1 to both sides of the equation, to cancel out the -1 on the left side.

5x = 65

Finally, we are going to divide both sides by 5, as this is the inverse operation of multiplication, which is how the 5 and the x are connected.

x = 13

Therefore, the value of x is 13.
3 0
3 years ago
A stamp has the Length of 1/2 cm and a width of 1 1/2 is the area of the stamps
avanturin [10]

Answer:

Area =  \frac{3}{4} cm^2

Step-by-step explanation:

Given

Length =\frac{1}{2}\ cm

Width = 1\frac{1}{2}\ cm

Required

Determine the Area

Area is calculated as follows

Area = Length * Width

Substitute values for Length and Width

Area = \frac{1}{2} * 1\frac{1}{2}

Convert mixed fraction

Area = \frac{1}{2} * \frac{3}{2}

Area =  \frac{3}{4}

Hence, the area is

Area =  \frac{3}{4} cm^2

3 0
3 years ago
Laura earns $134,350 per year. Use Laura’s income tax rate to determine what her monthly deduction should be . ( the tax is 28%)
Andreyy89
Answer: Her refund would be $5,681.20.

The problem says that Laura paid the estimate above, which is 28%.
0.28 x 134350 = 37618

However, she had some deductions.
134350 - 4000 - 12200 - 4090 = 114060

So, to find the tax on this amount, we multiply it again by 0.28.
0.28 x 114060 = 31936.8

The amount of the refund will be the difference.
37618 - 31936.8 = 5681.2
4 0
3 years ago
The height of the trunk is 26 inches the length of the trunk is 50 inches. The tv is 54 inches wide. And 96 inches in height Use
Sav [38]

Answer:

The length of the diagonal of the trunk is 56.356011 inches

Step-by-step explanation:

According to the given data we have the following:

height of the trunk= 26 inches

length of the trunk= 50 inches

According to the Pythagorean theorem, to calculate the length of the diagonal of the trunk we would have to calculate the following formula:

length of the diagonal of the trunk=√(height of the trunk∧2+length of the trunk∧2)

Therefore, length of the diagonal of the trunk=√(26∧2+50∧2)

length of the diagonal of the trunk=√3176

length of the diagonal of the trunk=56.356011

The length of the diagonal of the trunk is 56.356011 inches

6 0
3 years ago
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