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Aleks04 [339]
2 years ago
10

If a parallelogram has congruent

Mathematics
1 answer:
o-na [289]2 years ago
6 0

Answer: A

Step-by-step explanation:

The contrapositive of a statement is logically equivalent to the original statement.

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You want $5000 4 years from nowfor a down payment for a car. How much money must be deposited monetly into an account earning 4.
timama [110]

Answer:

$95.5090 must be deposited monthly

Step-by-step explanation:

From the information given:

The annual interest rate (r) = 4.2% = 0.042

Let assume that an amount Y is deposited, then after one month, it will increase to:

Y ( 1+ \dfrac{0.042}{12})

The total amount after 4 years will be:

= Y ( 1+ \dfrac{0.042}{12})^{48}+Y ( 1+ \dfrac{0.042}{12})^{47} +Y ( 1+ \dfrac{0.042}{12})^{46} +...+ Y ( 1+ \dfrac{0.042}{12})

= Y ( 1.0035)^{48}+Y ( 1.0035)^{47} +Y( 1.0035)^{46} +...+ Y( 1.0035)

Using the sum of a geometric progression:

= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{(1.0035-1)}

= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035}

The above amount is then equal to $5000

i.e

= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035} = 5000

Y =  \dfrac{5000\times 0.0035}{(1.0035)(1.0035^{48}-1)} \\ \\  \mathbf{Y = \$95.5090}

8 0
3 years ago
Line t passes through points (10, 1) and (2, 6). Line u is perpendicular to t. What is the slope of line u?
diamong [38]

Let's find the slope for line t first.

We can use the given points 2,6 and 10,1 to find the slope using the slope formula.

\frac{y.2 - y.1}{x.2 - x.1} = m

1 - 6 / 10 - 2

-5/8

The slope is -5/8.

Because we know the slope of this line, we can find the slope of the next line instantly, as they are perpendicular.

When a slope is perpendicular to another, it is equal to the negative reciprocal.

Negative reciprocal of -5/8 = 8/5

<h3>The slope of line u is 8/5</h3>
8 0
2 years ago
Which inequality represents the sentence? The difference of seven and two tenths and a number is more than twenty nine. 7. 2 - n
Slav-nsk [51]

The inequality which represent, the difference of seven and two tenths and a number is more than twenty-nine, is

7.2-n > 29

<h3>What is the inequality equation?</h3>

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

Inequality is represented with the greater then(<), less then(>) or with the other inequity signs like less than equal to \leq or greater than equal to \geq.

Tenth is written as the fractional part of the number 10. The value of one tenth is equal to 1/10 or 0.1.

The sentence given for the inequality expression is, that the differences of seven and two tenths, and a number is more than twenty-nine.

The number seven and two tenths can be written as,

7\dfrac{2}{10}

Suppose the unknown number is n.  Now, the differences of seven and two tenths, and this number (<em>n</em>) is more than twenty-nine.  The more than word means, the greater than sign for equation. Thus, it can be expressed as,

7\dfrac{2}{10}-n > 29\\\dfrac{72}{10}-n > 29\\7.2-n > 29

Hence, the inequality which represent, the difference of seven and two tenths and a number is more than twenty-nine, is

7.2-n > 29

Learn more about the inequality equation here:

brainly.com/question/17724536

7 0
2 years ago
M find b<br> a) not triangle<br> b)11in<br> c)14in<br> d)13in
Alexxx [7]

Answer:

kantut

Step-by-step explanation:

kantut kalimot hahaha you have a great day to be out of town for a few days now and then I can go to be a great day for a few days now and then I can go to be a great day for you want to be a great day to lapu lapu to get a

4 0
3 years ago
If the length of line segment AB is 9 inches, the total number of point 4 inches from Point A and 6 inches from Point B is
brilliants [131]

9514 1404 393

Answer:

 B.  Two

Step-by-step explanation:

There are two points that are 4 inches from A and 6 inches from B.

__

<em>Additional comment</em>

They are at the intersection points of circle A with radius 4 inches and circle B with radius 6 inches.

4 0
2 years ago
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