Answer:
D. 5x^2 + 2y^2 + 12x + 5y
Step-by-step explanation:
6x + 2y + y^2 + 6x + 2y + y^2 + 4x^2 + x^2 + y
6x + 6x = 12x
12x + 2y + y^2 + 2y + y^2 + 4x^2 + x^2 + y
2y + 2y + y = 5y
12x + 5y + y^2 + y^2 + 4x^2 + x^2
y^2 + y^2 = 2y^2
2y^2 + 4x^2 + x^2 + 12x + 5y
4x^2 + x^2 = 5x^2
2y^2 + 5x^2 + 12x + 5y
5x^2 + 2y^2 + 12x + 5y
<h3>
Answer: Choice D) 7.5 cm</h3>
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Explanation:
We are told that quadrilateral ABCD is similar to quadrilateral EFGH.
The order of the four letter sequence is important.
- For ABCD, we have AB as the first pair of letters.
- For EFGH, we have EF as the first pair of letters.
Therefore, AB and EF are corresponding sides.
So AB = 10 and EF = x pair up together. We can form the ratio AB/EF which becomes 10/x.
The diagram shows that AD = 8. Notice that A and D are the first and last letters of ABCD. The first and last letters of EFGH are E and H. We can see that AD and EH correspond to one another because of this.
AD = 8 and EH = 6 forming the ratio AD/EH = 8/6
Because the quadrilaterals are similar, the corresponding ratios must be the same. Therefore, AB/EF is the same as AD/EH.
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Let's set up a proportion to solve for x
AB/EF = AD/EH
10/x = 8/6
10*6 = x*8
60 = 8x
8x = 60
x = 60/8
x = 7.5 Answer is choice D
The answer for this problem is 7
Answer:
C. 16
Step-by-step explanation:
First of all, these two angles are corresponding angles, which means that they equal each other. So, the equation here would be: 2x+18= 4x-14.
Step 1- Move the variables to one side.
2x+18= 4x-14
-2x -2x
18= 2x-14
Step 2- Add 14 to both sides of the equation.
18= 2x-14
+14 +14
32= 2x
Step 3- Divide 2 to both sides of the equation to isolate the variable.
<u>32</u>=<u> 2x</u>
2 2
x= 16
