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8_murik_8 [283]
3 years ago
5

Line segment AC where point B is located between A and C solve if AB=39 and AC=46 find BC

Mathematics
1 answer:
jeka943 years ago
6 0

Answer:

BC = 7

Step-by-step explanation:

AB + BC = AC

39 + BC = 46

       BC = 46 - 39

       BC = 7

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An Xbox that normally sells for $390 is on sale at a 30% discount. What is the sale price of the Xbox?
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Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e0.0205t,wh
svetoff [14.1K]

Answer: a) 236,000.

b) 2021

Step-by-step explanation:

Given : Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e^{0.0205t}    (1)

where t = 0 corresponds to 1980.

Then , for 2009

t= 2009-1980=29

a. ⇒The population of Phoenix in 2009 =  p = 130e^{0.0205(29)}

p = 130e^{0.5945}

p =130(1.81212465608)=235.57620529\approx236

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b) Substitute p= 300 in (1) , we get

300 = 130e^{0.0205t}

2.3077= e^{0.0205t} (Divide both sides by 130)

Taking Natural log on both sides,

\ln(2.3077) = 0.0205t\\\\\Rightarrow\ t=\dfrac{\ln(2.3077)}{0.0205}

t=\dfrac{0.836251357528}{0.0205}=40.7927491477\approx41

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Another definition of the kite is :

a quadrilateral with 2 pairs of equal adjacent sides.


Let's check the choices one by one:

A. <span>∠M is a right angle and MK bisects ∠LMJ.

according to these, ML and MJ may well be not equal...


</span><span>B. LM = JM = 3 and JK = LK = √17.
</span>
this makes the quadrilateral a kite.


<span>C. MK intersects LJ at its midpoint
</span>
if they are not perpendicular, the quadrilateral is not a kite.


<span>D. The slope of MK is –1 and the slope of LJ is 1.

this only means that MK and LJ are perpendicular, but not whether they bisect each other,


Answer: only B</span>
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