67-71 explain the steps please:) thank u.

Mathematics
Tutor: None Selected Time limit: 1 Day

Dec 7th, 2014

67. 

By the property, MO * PQ = OQ * NP

We know what MO, PQ, and OQ are, so plug in those numbers 

3 * 12 = 9 * NP

Solve for NP as if NP is x

36 = 9 * NP

NP = 36/9

NP = 4


68. 

Again, by the property EF * FH = DF * FG

We know all of the numbers except for EF, which is what we are supposed to find (we know FH because we know FG and GH, and FG + GH = FH)

Plug the numbers in and solve for EF as if EF was an x 

EF * 16 = 14 * 6

EF * 16 = 84 

EF = 84/16 

EF = 5.25 


69.

In this problem, in order to find CE, we have to find AE and then subtract AC from AE to get the answer because AC + CE = AE 

By the property, AC * AD = AE * AB

Plug in the numbers that we know 

10 * 39 = AE * 15 

Solve for AE

390 = AE * 15

AE = 390/15 

AE = 26

Find CE

AE - AC = CE

26 - 10 = CE

CE = 16


70. 

6/3 = 10/u 

30 = 6u

u = 30/6 

u = 5 


71. 

7/5 = t/3.5 

24.5 = 5t 

t = 24.5/5

t = 4.9


Dec 7th, 2014

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