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nordsb [41]
2 years ago
14

Need help with this geometry

Mathematics
1 answer:
Rasek [7]2 years ago
3 0

Answer:

y = 2

Step-by-step explanation:

The mid segment HJ is half of the third side GK , that is

HJ = \frac{1}{2} GK , substitute values

2y = \frac{1}{2} (y + 6) ← multiply both sides by 2 to clear the fraction

4y = y + 6 ( subtract y from both sides )

3y = 6 ( divide both sides by 3 )

y = 2

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Determine how far the vehicle travels in 3 hours.
Karo-lina-s [1.5K]

Answer:

360 miles

Step-by-step explanation:

The unit rate here is (240 miles) / (2 hours), or 120 mph.

In 3 hours the vehicle travels (120 mph)(3 hrs) = 360 miles

8 0
2 years ago
you are building a rectangular wading pool you want the area of the bottom to be 90 ft squared you want the length of the pool t
Sindrei [870]
L=2W+3, A=LW, using L from the first in the second gives you:

A=(2W+3)W

A=2W^2+3W, and we are told A=90 so

2W^2+3W=90

2W^2+3W-90=0

2W^2-12W+15W-90=0

2W(W-6)+15(W-6)=0

(2W+15)(W-6)=0, since W>0 for all real possibilities, 

W=6ft, and since L=2W+3

L=15ft

So the pool will be 6 ft wide by 15 ft long.
5 0
3 years ago
Algebra help please 100% correct only
shutvik [7]
2x + 3y + 2(x - y) - 3x


First you apply the distributive property:

2x +3y + 2(x) - 2(y) - 3x
2x + 3y +2x - 2y - 3x

The you combine like terms:

2x + 2x - 3x +3y - 2y
4x - 3x + y
x (x could also be 1x) + y (y could also be 1y)

The answer is x + y or 1x + 1y
5 0
3 years ago
Read 2 more answers
9. Draw the number line graph of 0.4.
Evgesh-ka [11]
The number line graph of 0.4 is here.

4 0
3 years ago
The probability that a newborn baby at a certain hospital is male is 50%. Find the probability that 7 or 8 out of 10 babies born
marin [14]

Answer:

0.1611

Step-by-step explanation:

Uaing the binomial probability relation :

p = 0.5 ; q = 1 - p = 0.5

n = 10

Using the relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 7) = 10C7 * 0.5^7 * 0.5^3

P(x = 7) = 0.1172

x = 8 ;

P(x = 8) = 10C7 * 0.5^7 * 0.5^3

P(x =8) = 0.0439

P(x = 7 or x = 8) = 0.1172 + 0.0439 = 0.1611

4 0
3 years ago
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