Answer:
C. <w and <y
Step-by-step explanation:
<t and <x are corresponding angles, therefore they are congruent to each other by the corresponding angles theorem.
<w and <y are also corresponding angles and are therefore also congruent.
<x and <z are congruent also based on the vertical angles theorem.
<t and <z are alternate exterior angle, and are therefore congruent also.
So, from the pairs of angles given as options, the only given pair of angles that are congruent would be:
<w and <y
Answer:
21
Step-by-step explanation:
I hope this helps!
Answer:A solution to an equation is the value or values of the variable or variables that make the equation a true statement. Graphically, solutions are the intersections of the graphs of the left side and the right side, or if the equation is written so that one side is zero, we are looking for the x-intercepts (for real solutions.)
Periodic functions can have infinite solutions. For instance, cos(x)=1 has as solutions x=2n*pi, n in ZZ (or n an integer.) Periodic functions can...
Step-by-step explanation:
<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
