If the machine makes 5 buttons at a time,and each doll gets 5 buttons then one doll is the answer
Answer: 77°
Step-by-step explanation:
First we are going to find x and then insert it in 18x +5 to be able to get our <WZX
But to find x, we will have to apply the the exterior angle theorem
The exterior angle theorem state that : the exterior angle is equal to the sum of the two opposite interior anges
Using this theorem, then from the diagram above ;
18x + 5 = 48 + 8x - 3
we collect like term
18x - 8x = 48-3-5
10x = 40
Divide bothside by 10
10x/10 = 40/10
x = 4
but <WZX = 18x + 5
Then we substitute x=4
<WZX = 18(4) + 5
<WZX = 72 +5
<WZX =77
Therefore the measure of <WZX is 77°
Six tenths, one half, two fifths
Answer: A; 6.3%
Step-by-step explanation:
Problem 1
For the first problem, we first want to find y so that we can plug it into the expression.
We can use elimination method for the system of equations to solve.
3x+3y=21
3x-y=5
We subtract both equations to eliminate x.
4y=16 [divide both sides by 4]
y=4
Now that we know y, we can plug it into the expression.
[divide]
[subtract]

We know that the answer is A.
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Problem 2
For the second problem, we need to know how to calculate percent error. The formula for precent error is
. We know that the exact value is 80 because the buyer was supposed to given 80. 75 is the measured value because that was what the buyer was given.
[subtract]
[solve absolue value]
[divide]
[multiply]

Since the problem said to round to one decimal place, we know that the answer is 6.3%.
The scale factor is 2
x = 11.5
14/7 = 2
23/x = 2
x = 11.5