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:
x > 1/3
Step-by-step explanation:
Let us evaluate each pair of expressions one at a time.
8. (n²+4) - n² and 4n.
(n²+4) - n² = n²+ 4 - n² = 4 which is not equal to 4n.
NOT EQUIVALENT
9. 3x + 5 and 2(x + 3)
2(x + 3) = 2x + 6 which is not equal to 3x + 5.
NOT EQUIVALENT
10. 15 - 6x and 15(1 - 6x)
15(1 - 6x) = 15 - 90x which is not equal to 15 - 6x
NOT EQUVALENT
11. (y + y + 2 + y) + 3y and 6y + 2
(y +y +2 + y) + 3y = y+y+y +2 + 3y = 3y + 2 + 3y = 6y + 2.
It matches the other expression.
EQUIVALENT
12. 8y - 3 + 10y and 3(6 - 1)
8y - 3 + 10y = 8y + 10y - 3 = 18y - 3
3(6 - 1) = 3(5) = 15
The two expressions do not match.
NOT EQUIVALENT.
Answer: Only the expressions in number 11 are equivalent.
The circumference of a circle can be found using the equation 2 π r
(2)(3.14)(4.5) = 28.26 (or 28 13/50 if you need it in fractions)
Answer:
x = 45°
Step-by-step explanation:
We can tell that "x + 115" and 160° are vertically opposite angles, which means that they are equal. (Refer to image)
⇒ x + 115 = 160
⇒ x = 160 - 115
⇒ x = 45°
Learn more about vertically opposite angles: brainly.com/question/68367
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