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Luba_88 [7]
1 year ago
7

Point G is on line segment FH. Given FG=5x+2,GH=3x-1, and FG=9, determine the numerical length of FG

Mathematics
1 answer:
stealth61 [152]1 year ago
8 0

Given:

FG=5x+2

GH=3x-1

FG=9

Let us draw the line segment as follows,

Equating the length of FG, we get,

\begin{gathered} 5x+2=9 \\ 5x=9-2 \\ 5x=7 \\ x=\frac{7}{5} \end{gathered}

Substitute the value of x in the given value of GH,

\begin{gathered} GH=3x-1 \\ =3(\frac{7}{5})-1 \\ =\frac{21}{5}-1 \\ =\frac{16}{5} \\ =3.2 \end{gathered}

And the total length FH is,

\begin{gathered} FH=FG+GH \\ =9+3.2 \\ =12.2 \end{gathered}

Hence, the lengths are,

\begin{gathered} FG=9 \\ GH=3.2 \\ FH=12.2 \end{gathered}

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Nooha purchased a tv for $9000 and sold it at a profit of 8% find selling price ​
miskamm [114]

Answer:

720

Step-by-step explanation:

because 8% of 9000$ is 720$.

another way.

Step 1: Our output value is 9000.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$9000=100$.

Step 4: Similarly, $x=.8%$.

Step 5: This results in a pair of simple equations:

$9000=100%(1)$.

$x=.8%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

Step 7: Again, the reciprocal of both sides gives

Therefore, 8%of $9000$ is $720

4 0
3 years ago
Joe is hiking a trail that is 30 miles long. after several days, he is two times as far from the beginning of the trail as he is
lora16 [44]
In order to answer this question let's suppose,
Joe is x miles from the beginning and y miles from the end. These assumptions are necessary to answer further:

Now,
x=2y
x+y=30
plugging in x=2y in the above equation
2y+y=30
3y=30
y=10

Hence, according to our calculations, Joe has to hike 10 miles further
5 0
3 years ago
What is the answer to my question? Please help, this is urgent
Mice21 [21]

Answer: 1733.28 in^2

Step-by-step explanation:

5 0
3 years ago
8.
densk [106]

Camila's data set has the greatest interquartile range and the value of IQR = 8 option third is correct.

<h3>What is the range?</h3>

It is defined as the difference between the maximum value in the data set to the minimum value in the data set.

We have:

The amount of money in tips earned by four restaurant servers waiting on 10 tables is represented by the following data sets:

Alyssa {3, 6, 2, 8, 12, 14, 5, 7, 7, 8}

Bryant {9, 2, 7, 50, 0, 5, 2, 8, 6, 8}

Camila {1, 9, 10, 3, 0, 12, 10, 9, 8, 2}

Devon {4, 2, 8, 15, 20, 7, 5, 0, 6, 2}

The IQR for Alyssa:

IQR = Q3 - Q1

IQR = 8 - 5 = 3

The IQR for Bryant:

IQR = Q3 - Q1

IQR = 8 - 2 = 6

The IQR for Camila:

IQR = Q3 - Q1

IQR = 10 - 2 = 8

The IQR for Devon:

IQR = Q3 - Q1

IQR = 8 - 2 = 6

Thus, Camila's data set has the greatest interquartile range and the value of IQR = 8 option third is correct.

Learn more about the range here:

brainly.com/question/17553524

#SPJ1

8 0
2 years ago
What does 5x+8squared-9x+2xsquared
umka21 [38]
The answer is -4x+64+2x^2
7 0
3 years ago
Read 2 more answers
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