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
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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:
-ˋˏ✄┈┈┈┈┈┈┈┈┈┈┈┈┈
<u>Use quadratic formula:-</u>
᠃ ⚘᠂ ⚘ ˚ ⚘ ᠂ ⚘ ᠃
˱ ┈ ┈ ┈ ┈ ˲
hope it helps...
have a great day!!
Answer:
(3.5,3)
Step-by-step explanation:
Midpoint= (x¹+x²/2, y¹+y²/2)
x¹=4
x²=3
y¹=0
y²=6
Put your values into the formula
(4+3/2,0+6/2)
(7/2, 6/2)
(3.5,3)
Problem 1
The two angles 6x and 30 are vertical angles, so they are congruent or the same in measure.
6x = 30
x = 30/6
x = 5 is the answer
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Problem 2
The two angles form a straight angle which is 180 degrees. We consider them a linear pair (since they are adjacent and supplementary).
So,
5x+(3x+12) = 180
8x+12 = 180
8x = 180-12
8x = 168
x = 168/8
x = 21 is the answer
