<u>136 + x + x = 180. Or, to simplify, 136 + 2x = 180. The congruent angles measure 23 degrees each.</u>
We know this because of a simple rule that goes for all triangles: The measures of all three angles in a triangle will <em>always</em> add up to 180 degrees.
One angle of a triangle measures 136 degrees. The other two angles are congruent (have the same measure).
(x stands for an unknown angle measure.) So the equation we would use is 136 + 2x = 180. We can solve this within a few steps.
1. We subtract 136 from 2x in order to isolate 2x. But if we subtract something from the left side of the equation, we have to subtract it from the right side too. Otherwise the equation will be wrong; We would be taking away the balance.
2x = 180 - 136
2. Now that 2x is isolated, we solve 180 - 136.
2x = 46
3. If we know now that 2x is equal to 46, how do we find out what x is equal to? We divide by 2 (on both sides or it'll be wrong) to get x.
2x = 46
2x/2 = 46/2
x = 23
Now we know! x = 23... The other two angles are both 23 degrees. We can check to see if that's right by solving 23 + 23 + 136... Does it add up to 180? Yes! :)
Answer:
41 over 24
Step-by-step explanation:
7 2/3 can be "translated" into 3 times 7 plus 2 which is 22, so now it's 22 over 3.
5 5/8 can be "translated" into 8 times 5 plus five is forty five, so now it's 45 over 8.
We now need a common denominator.
Multiples of 8: 8, 16, 24, 32
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24
24 are both multiples of 8 and 3.
Now you have to multiply 22 and 8 because 3 times 8 equals 24 and so you have to do it to the numerator.
22*8=176
Now you have to multiply 45 and 3 since 8 times 3 equals 24 and so you have to do it to the numerator, too.
45*3=135
All you have to do now is subtract 176 from 135 which is 41
Answer:
6450.35/90.85 = 71 yards.
Step-by-step explanation:
Answer:
Hi! The correct answer is 3.25, 7.6 and 0.3!
Step-by-step explanation:
The little square in the angle means 90 degrees. so if you know one angle in that overall angle is 76 you just have to subtract 72 from 90 and get 18. but since its (x-6) is the answer you would take 18 and take away 6 to get 12