Answer:
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Step-by-step explanation:
(8x-22)=5x+29
We move all terms to the left:
(8x-22)-(5x+29)=0
We get rid of parentheses
8x-5x-22-29=0
We add all the numbers together, and all the variables
3x-51=0
We move all terms containing x to the left, all other terms to the right
3x=51
x=51/3
x=17
Statements
2. right triangle
3. PQ = OP
5. ∆ONP = ∆PQO
Reasons
1. Given
4. Given
5. SAS
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Answer:
x = 12
Step-by-step explanation:
First you figure out which function your going to use. I notice that from the angle we have 5 which is the opposite side and 23 which is the adjacent side. This means we have to use tangent.
Then set up your equation: tan(x)=5/23. This is because the opposite side is 5 and the adjacent is 23 and it must be set up in that order.
Next get x alone by making the equation: x=tan^-1(5/23).
Then put it into the calculator and round to get 12.
Answer:
14 students
Step-by-step explanation:
We can set up a percentage proportion to find 2% of 700.
, and we can use the cross products property to find the value of x.

Hope this helped!
Answer: x = -2
Step-by-step explanation: 3x+7 = -x-1; add 1 to both sides: 3x+8=-x; subtract 3x from both sides: 8 = -4x; divide by -4 on both sides: -2 = x