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Answer: LP=15
Step-by-step explanation:
Ok triangle ΔNPL is congruent to ΔNML because they share side LN so side LN = LN
Angle LNP and LNM are right angles so they are congruent.
Sides PN and MN are marked congruent.
With that information we can use SAS to say those triangles are congruent.
This means that side LP=LM
so 10x-5=7x+1
Now we solve

Now we can sub in x to solve LP
10(2)-5
20-5
15
30-(increase/0.5)*2=sold
i*s=revenue
i*30-(i^2/0.5)*2=r
I=7.5=>r=0
i=7=>r=14
7/0.5=15 number of increases in the cost
Answer:
x = 1.47 or x = -7.47
Step-by-step explanation:
x²+6x+9=20
This is a quadratic equation
x²+6x+9-20=0
x²+6x-11=0
Step 1 : Write the quadratic formula
x = <u>-b±√b²-4(a)(c)</u>
2a
Step 2 : Substitute values in the formula
a = 1
b = 6
c = -11
x = <u>-6±√6²-4(1)(-11)</u>
2(1)
x = <u>-6±√80</u>
2
x = -3 + 2√5 or x = -3 - 2√5
x = 1.47 or x = -7.47
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