9514 1404 393
Answer:
a) yes; 12/15/17 ~ 20/25/x; SAS
b) x = 28 1/3
Step-by-step explanation:
The left-side segments are in the ratio ...
top : bottom = 12 : 8 = 3 : 2
The right side segments are in the ratio ...
top : bottom = 15 : 10 = 3 : 2
These are the same ratio, and the angle at the peak is the same in both triangles, so the triangles are similar by the SAS postulate.
Normally, a similarity statement would identify the triangles by the labels on their vertices. Here, there are no such labels, so we choose to write the statement in terms of the side lengths, shortest to longest:
12/15/17 ~ 20/25/x
__
The sides of similar triangles are proportional, so the ratio of longest to shortest sides will be the same in the two triangles. In the smaller triangle, the longest side is 17/12 times the length of the shortest side. The value of x will be 17/12 times the length of the shortest side in the larger triangle:
x = 17/12 · 20 = 340/12
x = 28 1/3
Answer:
neither of those are obtuse angles. the "must include a 90 angle" is the right triangle. the "has at least 2 equal side" is an equilateral triangle
Angles 6 and 7 are vertical angles
Answer:
Maximum number of children among whom 32 red marbles, 144 blue marbles and 176 green marbles can be divided equally is 16.
Step-by-step explanation:
Finding HCF of 32, 144, 176
32 = 2 * 2 * 2 * 2 * 2
144 = 2 * 2 * 3 * 2 * 2 * 3
176 = 2 * 2 * 2 * 11 * 2
HCF = 2 * 2 * 2 * 2 = 16
Answer:
the answer is
<h2><u>C.85</u><u> </u><u>degrees</u></h2>
<h2><em><u>HOPE</u></em><em><u> </u></em><em><u>IT</u></em><em><u> </u></em><em><u>HELPED</u></em></h2>
