Answer:
The measure of Angle A is 45.5 degrees
Step-by-step explanation:
In order to find the measure of the angle A, add it to the measures of angle B and C. Since it is an isosceles triangle, we know that B and C have the same measure. Then we set this equal to 180.
A + B + C = 180
2x + 4 + 3x + 5 + 3x + 5 = 180
8x + 14 = 180
8x = 166
x = 20.75
Now we can find the measure of Angle A by putting the value of x in for x.
2x + 4 = A
2(20.75) + 4 = A
41.5 + 4 = A
45.5 = A
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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
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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:
A
Step-by-step explanation:
cause im smart
I’m pretty sure the answer is -1
