Step-by-step explanation:
2 : 3 = 6 : x ,
Ratio can be written as
2*3 = 6, we multiply top and bottom of fraction by 3
So value of x=9
4 : 7 = x : 42 ,
7*6 = 42, we multiply top and bottom of fraction by 6
So value of x=24
2x : 48 = 3 : 12,
\frac{3}{12}[/tex] = ![\frac{2x}{48}12*4 = 48, we multiply top and bottom of fraction by 4[tex]\frac{3*4}{12*4} = \frac{12}{48}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B48%7D%3C%2Fp%3E%3Cp%3E12%2A4%20%3D%2048%2C%20we%20multiply%20top%20%20and%20bottom%20of%20fraction%20by%204%3C%2Fp%3E%3Cp%3E%5Btex%5D%5Cfrac%7B3%2A4%7D%7B12%2A4%7D%20%3D%20%5Cfrac%7B12%7D%7B48%7D)
2x= 12, so x= 6
12 : 15 = x : 20
,
we multiply top and bottom by 4/3
So value of x=16
N= -16.5
Subtract 33 then divide by 2
2n=-33
n=-33/2 or n=-16.5
Answer:
114°
Step-by-step explanation:
The exterior angle is the sum of the remote interior angles.
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<h3>setup</h3>
(11x +15)° = 60° +6x°
<h3>solution</h3>
5x = 45 . . . . . . . . . divide by °, subtract 15+6x
x = 9 . . . . . . . . . . divide by 5
The measure of exterior angle KMN is ...
m∠KMN = (11(9) +15)° = 114°
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<em>Additional comment</em>
Both the sum of interior angles and the sum of angles of a linear pair are 180°. If M represents the interior angle at vertex M, then we have ...
60° +6x° +M = 180°
(11x +15)° +M = 180°
Equating these expressions for 180° and subtracting M gives the relation we used above:
(11x +15)° +M = 60° +6x° +M . . . . . equate the two expressions for 180°
(11x +15)° = 60° +6x° . . . . . . . . . . . subtract M
This is also described by "supplements to the same angle are equal."
Answer:
1.07 hours
Step-by-step explanation:
14 miles = 1 hour
15 miles = x hours
Equal these two together
14 mi/1hr = 15 mi/xhr
Cross multiply
14 mi × x hr = 1 hr × 15 mi
I will stop using the units for now so it won't be as confusing
14x = 15
Divide both sides by 14 to isolate the variable
14x ÷ 14 = 15 ÷ 14
x = 1.07... hours
Answer:
Step-by-step explanation:
