Answer:
The center of dilation of ABCD to EFGH is (0, 0), and the scale factor is 4/3
Answer:
x = 13.444 ... (repeating decimal) or;
x = 13 4/9
Step-by-step explanation:
-0.65 + 0.45x = 5.4
First we will add 0.65 to each 'side' of the equation.
0.65 + (-0.65) + 0.45x = 0.65 + 5.4
0.65 + (-0.65) = 0
0.65 + 5.4 = 6.05
Input the numbers, and now the equation looks like this:
0 + 0.45x = 6.05
Remove the zero:
0.45x = 6.05
Divide each 'side' by 0.45.
0.45x ÷ 0.45 = 6.05 ÷ 0.45
0.45x ÷ 0.45 = 1x = x
6.05 ÷ 0.45 = 13.444 ... repeating decimal
Input the numbers, and now the equation looks like this:
x = 13.444 ... repeating decimal
We can also write this as:
x = 13 4/9 in fraction form
Answer:
768 square inches
Step-by-step explanation:
Area of the rectangle = length × width
Length = 75 in
Width = 12 in
Area of the rectangle = length × width
= 75 in x 8 in
= 600 in²
Area of the square = length ²
Length = 12 in
Area of the square = length ²
= 12 in²
= 12 in × 12 in
= 144 in²
Area of a triangle = 1/2bh
b = base = 12 in
h = height = 4 in
Area of a triangle = 1/2bh
= 1/2 * 12 in * 4 in
= (1*12*4)in² / 2
= 48 in² / 2
= 24 in²
Total area of the painted part of the street sign = Area of the rectangle + Area of the square + Area of a triangle
= 600 in² + 144 in² + 24 in²
= 768 in²
Answer:

Step-by-step explanation:
=> ![\sqrt[7]{m^3}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7Bm%5E3%7D)
![\sqrt[7]{}= ^\frac{1}{7}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7B%7D%3D%20%5E%5Cfrac%7B1%7D%7B7%7D)
=> 
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