Answer:
A complete angle is one which measures 360∘360∘.
The three angles
6x+20∘,9y+30∘,3z+40∘6x+20∘,9y+30∘,3z+40∘
add up to 360∘360∘, as per the question.
6x+20∘+9y+30∘+3z+40∘=360∘6x+20∘+9y+30∘+3z+40∘=360∘
⟹3(2x+3y+z)+90∘=360∘⟹3(2x+3y+z)+90∘=360∘
⟹3(2x+3y+z)=270∘⟹3(2x+3y+z)=270∘
⟹2x+3y+z=90∘⟹2x+3y+z=90∘
This is the required relation.
Given:
The function given is,
Required:
To graph the given function.
Explanation:
We have the given function as follows:
The graph of the function is shown below in the attachment:
Final Answer:
The graph of the function is shown in the attachment.
<h3>Answer: RS = 16</h3>
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Explanation:
The ratio QR : RS : ST is equal to 1 : 4 : 5
This means we have the following three equations
For some positive number x.
Note the ratio QR : RS : ST turns into x : 4x : 5x, which reduces to 1 : 4 : 5 when we divide all three parts by x
.
Along with those three equations, we'll also use QT = 40 as well.
Now turn to the segment addition postulate. Plug in the equations mentioned earlier, and solve for x
.
QT = QR + RS + ST
40 = x+4x+5x
40 = 10x
10x = 40
x = 40/10
x = 4
So we know that
QR = x = 4
RS = 4x = 4*4 = 16
ST = 5x = 5*4 = 20
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As a check,
QR + RS + ST = 4 + 16 + 20 = 40
which is the same as QT = 40
Therefore, we've confirmed that QR + RS + ST = QT is correct and we've confirmed our answers.
I'm confused with your worksheet. Do you have to write the improper fraction next to the Mixed number and write the Mixed number next to the improper fraction?
27% of the class's fundraising goal = 81
0.27x = 81
x = 81 / 0.27
x = 300 <====
