Answer:
The blank is 3
Step-by-step explanation:
1 - Give the blank a variable
x = our blank
2 - Write it out
3 - Get the denominators equal
4 - Simplify
5 - Solve for the numerators
30+7x = 51
-30 -30
7x = 21
x = 3
Side V W is parallel to Side Y Z in the map below. Triangle V X W. Side V W is 4 miles and side V X is 3 miles. Triangle X Z Y.
2 answers:
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Given QR is congrent to LN and QR = 4x + 2 and LN = x + 7.
So, QR = LN
Hence, we can set up an equation as following:
4x + 2 = x + 7
4x + 2 - x = x + 7 - x Subtract x from each sides.
3x + 2 = 7 By simplifying.
3x + 2 - 2 = 7 - 2 Subtract 2 from each sides.
3x = 5
Divide each sides by 3 to isolate x.
So,
Next step is to plug in in QR = 4x+2 to get length of QR.
So,
Since 2 can be written as 2/1.
By multiplying the second fraction by the common denominator 3.
By simplifying the second fraction.
So,