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Cerrena [4.2K]
3 years ago
15

My brother needs help with his math homework and I don't understand this?need help.

Mathematics
1 answer:
bonufazy [111]3 years ago
4 0
Dang elementary school homework is hard
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Given collinear points E, F and G such that point F is the midpoint of segment EG. Find the new length of EG given that EF =5x+9
Veseljchak [2.6K]

Answer:

The length of EG is 58 units

Step-by-step explanation:

The midpoint of a segment divides it into two equal part

Let us use this rule to solve our question

∵ E, F, and G are collinear points

∵ Point F is the midpoint of segment EG

→ That means F divides EG into 2 equal segments EF and FG

∴ EF = FG

∵ EF = 5x + 9

∵ FG = 3x + 17

→ Equate them

∴ 5x + 9 = 3x + 17

→ Subtract 3x from both sides

∵ 5x - 3x + 9 = 3x - 3x + 17

∴ 2x + 9 = 17

→ Subtract 9 from both sides

∴ 2x + 9 - 9 = 17 - 9

∴ 2x = 8

→ Divide both sides by 2 to find x

∵ \frac{2x}{2}=\frac{8}{2}

∴ x = 4

→ Substitute x by 4 in EF and FG to find their lengths

∵ EF = 5(4) + 9 = 20 + 9 = 29

∵ FG = 3(4) + 17 = 12 = 17 = 29

∵ EG = EF + FG

∴ EG = 29 + 29 = 58

∴ The length of EG is 58 units

6 0
3 years ago
On a bicycle ride,Betty rode 7 miles in 2 hours. At the same rate of speed,how far could she ride in 8 hours?Please hurry
prohojiy [21]
D 28 miles you want to multiply by 4 so 7x4 =28
3 0
3 years ago
Use a calculator to approximate the measure of
OLEGan [10]

Answer:

64

Step-by-step explanation:

I did 90-26 I hope that’s what you’re looking for :))

7 0
3 years ago
Hey Help. Give the answer to The Collatz Conjecture. If you don’t, then you’re not very nice.
Varvara68 [4.7K]

Answer:

10(5) = 50

Step-by-step explanation:

When you multiply 5(0), you get 0.

When you multiply 5(1), you get 5.

When you put them together, you end up with 50.

Hope this helps!

5 0
2 years ago
Read 2 more answers
The circumference of a circle is 60 pi cm. What is the length of an arc of 140 degrees
son4ous [18]
<span>circumference = 60*PI cm
If an arc is 140 degrees of the circle then its length =
</span>
<span>60*PI cm * (140 / 360)
arc length = 23.33333 cm

</span>
8 0
3 years ago
Read 2 more answers
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