Answer:
x = , y = 2
Step-by-step explanation:
3x + 3y - 7 = 12x + y
6y - 12x - 1 = -45x
(3x - 12x) + (3y - y) = 7
(-12x + 45x) + 6y = 1
-3(-9x + 2y = 7)
33x + 6y = 1
27x - 6y = -21
33x + 6y = 1
60x = -20 -> x = -20/60 = -1/3
-9x + 2y = 7 -> y = = = 2
to find X you need to add up the other two angles inside the triangle which are 36 and 63, that equals 99 and then subtract that number from 180, which equals 81.
To find Z you will follow the 180 rule and subtract 180 from what you got for X(81), this will equal 99
To find Y you will add what you got for Z(99) plus 13 and then subtract that number from 180, which will give you 68
So X=81, Y=99, and Y=68
Answer: A (1.156x10(6)
Step-by-step explanation: IM DOING THE INTERIM TOOOOOO
The answer is: " 3 inches " .
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<u>Note</u>:
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" 6 inches" / (2) = "3 inches" .
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M N
| 3 " |
<------------A------|------B------------C------------D------------>
| 6 in | 6 in | 6 in |
|
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Answer:
C
Step-by-step explanation:
Notice that there is a little triangle formed by the lines on the right side of the diagram.
Let's find the angle measures of the triangle. One of them has a supplementary angle of 96 degrees, which means that the actual interior angle is 180 - 96 = 84 degrees.
Another angle has a supplementary angle of 137, which means that the actual interior angle of the triangle is 180 - 137 = 43 degrees.
Finally, we have the expression 2x - 23, which is an exterior angle. By definition, this exterior angle is equal to the sum of the interior angles of the triangle that do not include its supplementary angle. In other words:
2x - 23 = 84 + 43
Now we just solve for x:
2x - 23 = 84 + 43 = 127
2x = 127 + 23 = 150
x = 150/2 = 75 degrees
The answer is 75 degrees, or C.