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Katarina [22]
3 years ago
9

Anybody know the answer?

Mathematics
1 answer:
Darya [45]3 years ago
8 0

Sure.  We see all three right triangles are similar since each has corresponding congruent angles.  We can think of them as all having a common three way ratio:

short leg : long leg : hypotenuse

In the smallest triangle the short leg is a+5 and the long leg is 12.

In the medium triangle the short leg is 12 and the long leg is 18

So the relevant ratio is

(a+5) / 12 = 12 / 18

a+5 = 12 × 2/3

a = 8 - 5

a = 3

Answer: A. 3

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2x+3y=6 and 2x+y=-2 solved by elimination
JulsSmile [24]
The two lines intersect at (-3,4)
-2/3X+2= -2X-2

Add 2X to both sides
Subtract 2 from both sides
Divide both sides by 4/3
You get X=-3
Plug in 3 to one of the equations and you’ll see that y= 4
6 0
3 years ago
Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withd
zysi [14]

Answer:

a) $520

b) $580

c) Interest amount is same each year

Step-by-step explanation:

Given - Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals.

To find - a) How much money was in the account after one year?

              b) How much money was in the account after 4 years?

              c) Was the amount of money earned in interest the same or different each year?

Proof -

Here given that,

Principal amount = $500

rate of interest = 4% = 4/100 = 0.04

Now,

a)

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(1)]

             = 500 [ 1 + 0.04] = 520

⇒Amount = $520

b)

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(4)]

             = 500 [ 1 + 0.16] = 580

⇒Amount = $580

c)

In 2nd year,

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(2)]

             = 500 [ 1 + 0.08] = 540

⇒Amount = $540

Now,

Interest in 1st year = 520 - 500 = 20

Interest in 2nd year = 540 - 520 = 20

So,

The interest amount  is same each year

3 0
3 years ago
An airplane traveled 700 kilometers in two hours during a trip. What was the average speed of the plane during the trip?
Igoryamba

9514 1404 393

Answer:

  350 km/h

Step-by-step explanation:

Speed = distance/time

speed = (700 km)/(2 h) = 350 km/h

8 0
3 years ago
A}20<br>b}28<br>C}23<br>D}26<br>i need some help asap
DaniilM [7]
The answer would be 26 due to the fact that it’s just nearly above the 25 mark
3 0
3 years ago
3 pounds of lawn seeds cover 1800 ft.². How many 4 pound bags are needed to cover 8400 ft.²
vlada-n [284]
1800/3 = 600
Every pound covers 600 square feet
8400/600 = 14
<span>14/4 = 3.5 (round up) so it would become 4.
</span>

You would need 4 bags. 

I hope this helps!

6 0
3 years ago
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