Helpp pls it’s 25 points each
1 answer:
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1) Sketching it
Since the line segment AD = 10x -5 and AC= 3x +1 and CD= 15
According to the Segment Addition postulate we can write:
3x+1+15=10x-5 <em>Combining like terms</em>
3x +16 = 10x -5 <em>Subtract 16 from both sides</em>
3x = 10x-5-16 Subtract 10x from both sides
3x-10x =-21
-7x = -21
7x=21 <em>Dividing by 7 on both sides</em>
x=3
Answer:
The number of candles each girl needs to sell so that the total amount raised is the same for both is
<em>Hailey </em>70 candles
<em>Kacie </em>40 candles
Step-by-step explanation:
Let
x------> the number of candles sold
y----> total amount raised
we know that
<em>Hailey's equation</em>
-----> equation A
Please note that Hailey has already raised $160, so he has sold 40 candles.
<em>Kacie's equation</em>
-----> equation B
Please note that Kacie has already raised $70, so he has sold 10 candles.
equate equation A and equation B solve for x
The number of candles each girl needs to sell so that the total amount raised is the same for both is
<em>Hailey</em>
40+30=70 candles
<em>Kacie</em>
10+30=40 candles