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masha68 [24]
3 years ago
8

The price of a new car without sales tax is $22,490.  The sales tax rate is 5 1/2%.  Find the cost of the car including the sale

s tax.
Mathematics
1 answer:
docker41 [41]3 years ago
4 0
22490 x 1.055 = 23726.95 is the total cost including sales tax
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Write two numbers that multiply to the value on top and add to the value on bottom.
egoroff_w [7]

Answer:

<h2><em><u>8</u></em><em><u> </u></em><em><u>and</u></em><em><u> </u></em><em><u>3</u></em></h2>

<em>8 x 3 = 24</em>

<em>8 + 3 = 11</em>

7 0
3 years ago
Read 2 more answers
Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-c
natali 33 [55]

Answer:  By the slope formula.

Step-by-step explanation:

Given: ABC is a triangle (shown below),

In which A≡(6,8), B≡(2,2) and C≡(8,4)

And, D and E are the mid points of the line segments AB and BC respectively.

Prove: DE║AC and DE = AC/2

Proof:

Since, And, D and E are the mid points of the line segments AB and BC respectively.

Therefore, By mid point theorem,

coordinate of D are (\frac{2+6}{2} , \frac{2+8}{2} ) = (\frac{8}{2} , \frac{10}{2} )= (4,5)

Coordinate of E are  (\frac{2+8}{2} , \frac{2+4}{2} ) = (\frac{10}{2} , \frac{6}{2} )= (5,3)

By the distance formula,

DE=\sqrt{(5-4)^2+(3-5)^2}=\sqrt{5}

AC=\sqrt{(8-6)^2+(4-8)^2}=2\sqrt{5}

By the slope formula,

Slope of AC = \frac{4-8}{8-6} = \frac{-4}{2} = -2

Slope of DE =  \frac{3-5}{5-4} = \frac{-2}{1} = -2


            Statement                                              Reason

1. The coordinate of D are (4,5)  and           1. By the midpoint formula

the coordinate of  E are (5,3)

2. The length of DE = √5                            2. By the Distance formula

The length AC = 2√5 ⇒ Segment DE

is half the length of segment AC

3. The slope of DE = -2 and the                3. By the slope formula

slope of AC = -2

4. DE║AC                                                   4. Slopes of parallel lines are equal


7 0
3 years ago
Read 2 more answers
Rewrite the expression with the given base. 25^3x with a base of 5.
svp [43]
Use\ (a^n)^m=a^{nm}\\\\25^{3x}=(5^2)^{3x}=5^{2\cdot3x}=5^{6x}
6 0
3 years ago
Latrell and his cousin, Tisha, met at a state park to go for an all-day hike. Latrell drove 122 miles to get to the park, and it
aliina [53]

Answer:

to find the adverage you have to add the times together then divide them by 2 so 2 + 1.5 = 3.5/2= 1.75

Step-by-step explanation:

4 0
3 years ago
15 POINTS!!!!
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There isn't enough information shown to kniw
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