Answer:
103
Step-by-step explanation:
x = 180-77 = 103
because it's a straight line, so 180 - 77 to find x
-1 and 4 I think is the answer is the function
Answer:
°
Step-by-step explanation:
For the upper left angle, we know that they are supplementary, so we can find the first angle of the triangle by
For the bottom right angle, we know that they are supplementary, so we can find that angle by
As a triangle has 180 degrees, we can subtract the values of the other two angles to find the final upper right angle.
Lastly, The upper right angle and x are supplementary so we can find x by subtracting the angle from 180
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
