Answers and Step-by-step explanations:
16. Yes; we can see that AB || CD, so by definition of alternate angles, angles BAE and CDE are equal. In addition, angles AEB and CED are vertical angles, so by definition, they are congruent. Then by the AA Similarity Theorem, triangles AEB and CED are similar.
17. No; we see that KL = NO and that angles KLJ and NOM are congruent. However, there is no other indication (whether it's same angles or corresponding sides with the same ratio) that we can use to prove the two triangles are similar. So, these triangles are not similar.
18. Yes; we can see that ML || PO, so by definition of corresponding angles, angles NML and NPO are equal. In addition, we can obviously see that angles MNL and PNO are literally the same angle. So by AA Similarity Theorem, triangles MNL and PNO are similar.
Hope this helps!
Answer:
Maggie is 15 and her brother is is 17
Step-by-step explanation:
15+17=32
15 x 2 = 30 - 13 = 17 + 15 = 32
The answer to the question is a
4.5 cm wide and 3 cm high. Just multiply the width and height by .3.
Answer:
12
Step-by-step explanation:
We are given that the table shows a proportional relationship between x and y. This can be represented by the equation, y = mx. Where k is the constant of proportionality.
Using the first pair given, (4, 16), let's find k.
k = y/x = 16/4
k = 4
Substitute k = 4 into y = kx
We have,
y = 4x
To find the value that completes the y-column, plug in the value of x into y = 4x.
x is given as 3.
Thus:
y = 4(3)
y = 12
