The correct answer is: [A]: " 2" .
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Explanation:
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5x - 4 = 3x ;
Subtract "3x" from each side of the equation;
5x - 4 - 3x = 3x - 3x ;
2x - 4 = 0 ;
Add "4" to each side of the equation;
2x - 4 + 4 = 0 + 4 ;
2x = 4 ;
Divide each side of the equation by "2" :
2x / 2 = 4 / 2 ;
x = 2 ; which is: "Answer choice: [A]: " 2" .
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Answer:
No
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Answer:
So then the correct answer is B. $200.
Step-by-step explanation:
Notation
Let X be the average contribution size before John makes his contribution.
Let Y be the total contribution size before John makes his contribution.
Let Z be John's contribution.
We know that for this case $ 75 represent the original average amount before the contribution with 50% increase so we can set up the following equation in order to find the original average amount
And solvong for X we got:
Now we can find the total contribution before the donation with the following proportion:
And then with the formula of average taking in count the 6 values we can find the size of donation Z like this:
So then the correct answer is B. $200.
Answer:
x = 23
y = 7
z = 11
Step-by-step explanation:
Since ∆PRS ≅ ∆CFH, therefore,
m<R = m<F
13y - 1 = 90° (substitution)
Add 1 to both sides
13y - 1 + 1 = 90 + 1
13y = 91
Divide both sides by 13
13y/13 = 91/13
y = 7
Since ∆PRS ≅ ∆CFH, therefore,
PS = CH
2x - 7 = 39 (substitution)
Add 7 to both sides
2x - 7 + 7 = 39 + 7
2x = 46
Divide both sides by 2
2x/2 = 46/2
x = 23
Since ∆PRS ≅ ∆CFH, therefore,
m<S = m<H
Find m<S
m<S = 180 - (m<P + m<R) (sum of ∆)
m<S = 180 - (28 + (13y - 1)) (substitution)
Plug in the value of y
m<S = 180 - (28 + (13)(7) - 1))
m<S = 180 - (28 + 91 - 1)
m<S = 180 - 118
m<S = 62°
Therefore, since m<S = m<H,
62° = 6z - 4 (substitution)
Add 4 to both sides
62 + 4 = 6z - 4 + 4
66 = 6z
Divide both sides by 6
66/6 = 6z/6
11 = z
