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iren [92.7K]
3 years ago
11

Brainliest + Points! (please explain)

Mathematics
1 answer:
schepotkina [342]3 years ago
3 0

Answer:

B. $444.44  

Step-by-step explanation:

We have been given that Andrew buys a home entertainment system from an electronics store offering 0% interest for 18 months. This means if she pays monthly payment she will not be charged with any interest for 18 months.

As Andrew will make 18 payments in 18 months, so payment for each month can be found by dividing total cost of entertainment system by 18.

\text{Minimum monthly payment}=\frac{\$8000}{18}

\text{Minimum monthly payment}=\$444.44

Therefore, Andrew should make a monthly payment of $444.44 to avoid paying deferred interest charges for the $8,000 system. and option B is the correct choice.

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5 is the correct answer I believe
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miv72 [106K]

Answer:

See explanation below

Step-by-step explanation:

BD - diagonal                                    Added Construction              

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BD ≅ DB                                             Reflexive Property                  

m∠A = m∠C                          Opposite ∠'s Congruent Theorem

ΔABD ≅  ΔCDB                                     AAS or SAS                                    

BC ≅  DA                                                 CPCTC              

AC - diagonal                                             Added Construction    

m∠BCA = m∠CAD                   Alternate Interior Angles Theorem

AC ≅ CA                                                  Reflexive Property    

m∠B = m∠D                              Opposite ∠'s Congruent Theorem

ΔABC ≅  ΔCDA                                            AAS or SAS                                                  

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6 0
3 years ago
The given line segment has a midpoint at (3, 1).
Katena32 [7]

Answer:

y=\frac{1}{3}x

Step-by-step explanation:

The given line segment has a midpoint at (3, 1) and goes through (2, 4), (3, 1), and (4, -2). We can use any two of the three points to calculate the equation of the line. Let us use the points (2, 4) and (4, -2)

Therefore the line goes through (2, 4) and (4, -2). The equation of a line passing through (x_1,y_1)\ and\ (x_2,y_2) is:

\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}.

Therefore the line passing through (2, 4) and (4, -2) has an equation:

\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\\frac{y-4}{x-2}=\frac{-2-4}{4-2}\\\frac{y-4}{x-2}=\frac{-6}{2}\\y-4=x-2(-3)\\y-4=-3x+6\\y=-3x+10

Comparing with the general equation of line: y = mx + c, the slope (m) = -3 and the intercept on the y axis (c) = 10

Two lines are said to be perpendicular if the product of their slope is -1. If the slope of line one is m1 and the slope of line 2 = m2, then the two lines are perpendicular if:

m_1m_2=-1.

Therefore The slope (m2) of the perpendicular bisector of y = -3x + 10 is:

m_1m_2=-1\\-3m_2=-1\\m_2=\frac{1}{3}

Since it is the  perpendicular bisector of the given line segment, it passes through the midpoint (3, 1). The equation of the perpendicular bisector is:

\frac{y-y_1}{x-x_1}=m\\\frac{y-1}{x-3}=\frac{1}{3}\\ y-1= \frac{1}{3}(x-3)\\ y-1=\frac{1}{3}x-1\\y=\frac{1}{3}x

the equation, in slope-intercept form, of the perpendicular bisector of the given line segment is y=\frac{1}{3}x

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Sedaia [141]

Answer:

x=12

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Step-by-step explanation:

paralellograms will become 360 degrees

so 2(5x) +2(10x)= 360

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<u>30x </u> = <u>360</u>

30        30

x=12

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10x = 120

5x = 60

7 0
3 years ago
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