Answer:
Triangle EFG is dilated by a scale factor of 2 centered at (0, 2) to create triangle E'F'G'. Which statement is true about the dilation?
segment EG ≅ segment E prime G prime.
The slope of segment EF is the same as the slope of segment E prime H prime.
segment H prime F prime will overlap segment HF.
segment EH and segment E prime H prime both pass through the center of dilation.
Step-by-step explanation:
Answer:
1.8(3) (three is a repeating number)
Step-by-step explanation:
Divide the numerator from the denominator. Add the value of the integer part.
Answer:
119.9
Step-by-step explanation:
(8.1)(7)+(7.9)(8)
(8.1)(7)+(7.9)(8)
=119.9
Answer:
Step 3
Step-by-step explanation:
The solution is given in the image attached. The steps are:
Step 1:
![2x-\frac{1}{4} -\frac{3}{5}x=\frac{55}{4}](https://tex.z-dn.net/?f=2x-%5Cfrac%7B1%7D%7B4%7D%20-%5Cfrac%7B3%7D%7B5%7Dx%3D%5Cfrac%7B55%7D%7B4%7D)
Step 2: simplifying the coefficients of x:
![2x -\frac{3}{5}x-\frac{1}{4}=\frac{55}{4}\\\frac{10x-3}{5} -\frac{1}{4}=\frac{55}{4}\\\frac{7x}{5} -\frac{1}{4}=\frac{55}{4}](https://tex.z-dn.net/?f=2x%20-%5Cfrac%7B3%7D%7B5%7Dx-%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B55%7D%7B4%7D%5C%5C%5Cfrac%7B10x-3%7D%7B5%7D%20-%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B55%7D%7B4%7D%5C%5C%5Cfrac%7B7x%7D%7B5%7D%20-%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B55%7D%7B4%7D)
Step 3: Adding 1/4 to both sides
![\frac{7x}{5} -\frac{1}{4}+\frac{1}{4} =\frac{55}{4}+\frac{1}{4}\\ \frac{7x}{5}=\frac{55+1}{4}\\ \frac{7x}{5}=\frac{56}{4}\\](https://tex.z-dn.net/?f=%5Cfrac%7B7x%7D%7B5%7D%20-%5Cfrac%7B1%7D%7B4%7D%2B%5Cfrac%7B1%7D%7B4%7D%20%3D%5Cfrac%7B55%7D%7B4%7D%2B%5Cfrac%7B1%7D%7B4%7D%5C%5C%20%5Cfrac%7B7x%7D%7B5%7D%3D%5Cfrac%7B55%2B1%7D%7B4%7D%5C%5C%20%5Cfrac%7B7x%7D%7B5%7D%3D%5Cfrac%7B56%7D%7B4%7D%5C%5C)
Step 4: Multiplying both sides by 5/7
![\frac{7x}{5}*\frac{5}{7} =\frac{56}{4}*\frac{5}{7} \\x=10](https://tex.z-dn.net/?f=%5Cfrac%7B7x%7D%7B5%7D%2A%5Cfrac%7B5%7D%7B7%7D%20%3D%5Cfrac%7B56%7D%7B4%7D%2A%5Cfrac%7B5%7D%7B7%7D%20%5C%5Cx%3D10)
The addition property of equality states that if a number is added to both sides of an equation, the equation is still valid (i.e the equation is still the same). From the steps above, The addition property of equality was applied in step 3
Answer:
-18.4 + 35.4
Step-by-step explanation:
Use the method keep; change; flip.
Keep the negative -18.4
Change the minus sign to a plus sign
Flip the -35.4 to a positive 35.4
Even though the equations are different the answer is still the same.
Hope this helps!