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Ivahew [28]
3 years ago
7

Nicolas is setting up water stations for a 10-mile run. He already has the first one set up 8 miles from the starting line. He n

eeds to set up two more that are 1.5 miles on either side of the first water station. Where will he put the two additional water stations?
A number line divided into increments of 1 and labeled 0 through 10. The number 8 is labeled with Nicolas.

The absolute value equation that models this situation is |x –
|=

.

The two additional water stations will be
and

miles from the starting line.

Mathematics
2 answers:
storchak [24]3 years ago
7 0

Answer:

120

Step-by-step explanation:

IceJOKER [234]3 years ago
4 0

Answer:

Step-by-step explanation:

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Find the missing lengths: <br> HI=7 and LH=9, find LK.
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Answer:

LK=12    

Step-by-step explanation:

From the given figure, HI=7 and LH=9, and we know that

(KH)^{2}=(IH)(HL)

(KH)^{2}=7{\times}9

(KH)^{2}=63                             (1)

Now, from ΔKHL, we have

(OH)^{2}=(OK)(OL)

and from ΔOKH,

(KH)^{2}=(OH)^{2}+(OK)^2

(OK)^2=(KH)^2-(OH)^2

(OK)^2=63-(OK)(OL)

(OK)^2+(OK)(OL)=63

OK(OK+OL)=63

OK(KL)=63                                 (2)

Also, ΔIKL is similar to ΔOHL, therefore

\frac{OL}{KL}=\frac{9}{16}

\frac{KL-OK}{KL}=\frac{9}{16}

\frac{KL-OK}{KL}=\frac{9}{16}

1-\frac{OK}{KL}=\frac{9}{16}

\frac{7}{16}=\frac{OK}{KL}

Using equation (2), we get

\frac{7}{16}=\frac{63}{(KL)^2}

(KL)^2=\frac{1008}{7}

(KL)^2=144

KL=12

Thus, the value of LK is 12.

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