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LenaWriter [7]
3 years ago
14

In square WXYZ , PX=6 .

Mathematics
1 answer:
11111nata11111 [884]3 years ago
8 0

Answer:

  24√2 units

Step-by-step explanation:

The side of the square is the hypotenuse of the isosceles right triangle whose side length is PX. Hence the side length is 6√2. The sum of the 4 side lengths is the perimeter, so is ...

  P = 4(6√2) = 24√2

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Solve 2x - 11 = k for x.
denis23 [38]
2x + -11 = k

Reorder the terms:
-11 + 2x = k

Solving
-11 + 2x = k

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '11' to each side of the equation.
-11 + 11 + 2x = 11 + k

Combine like terms: -11 + 11 = 0
0 + 2x = 11 + k
2x = 11 + k

Divide each side by '2'.
x = 5.5 + 0.5k

Simplifying
3 0
3 years ago
Assume that cigarettes cost $7 per pack and consider a 21 year old college student smoker who smokes 15 packs of cigarettes per
stepladder [879]

Answer:

The answer is $57657.6

Step-by-step explanation:

First, you must determine the amount of money the student saves per month. To do this, the number of cigarette packages she smokes is multiplied by the price she pays for them.

<u><em>Per month:</em></u> 15 packs*$7 each packet=<em>$105</em>

This means that per month she save $ 105.

Now you must determine the amount of money saved per year, knowing that in a year there are 12 months. Therefore, you make a simple rule of three: If in a month you save $ 105, how much money do you save in 12 months?

<em>Per year:</em> \frac{105*12months}{1 month} =1260

This means that per year she save $ 1260. And she each month invests the amount she would have spent on cigarettes in a savings plan that averages a 4% annual return. This means that in addition to saving $ 1260 per year, she gets 4% annually. For this you must first know how much 4% equals. For that you must keep in mind that to obtain a percentage in decimals, you must divide by 100. Then 0.04 represents 4%.

Now, to get the annual return of the savings plan you multiply the percentage by the amount invested in the plan. And to determine the total amount of money she save in a year with this plan, you add the amount invested plus the annual return. All this is:

0.04*$1260+$1260=$1310.4

<em>This means that finally per year she save $ 1310.4 with the annual return.</em>

You know that between 65 and 21 years of age of the student, there is a difference of 44 years, obtained by calculating 65 years minus 21 years. Then you can make a simple rule of three to determine the amount of money saved during those 44 years:if in one year the student save $1310. 4, how much money do she save in 44 years?

\frac{1310.4*44 years}{1 year} =57657.6

So, finally, <u><em> she will have saved $ 57657.6 by the time she is 65</em></u>

<u><em /></u>

5 0
3 years ago
Consider quadrilateral WXYZ.
gizmo_the_mogwai [7]

Answer:

D. The figure is not necessarily a parallelogram because only one diagonal is bisected and only one pair of sides is congruent

Step-by-step explanation:

<em>The parallelogram has the following properties:</em>

  • <em>Opposite sides are parallel by definition.</em>
  • <em>Opposite sides are congruent.</em>
  • <em>Opposite angles are congruent.</em>
  • <em>Consecutive angles are supplementary.</em>
  • <em>The diagonals bisect each other.</em>

A. The figure is a parallelogram because there are two pairs of congruent sides.

- no

B. The figure is a parallelogram because a diagonal is bisected.

- no

C. The figure is not necessarily a parallelogram because the diagonals are not congruent.

-no

D. The figure is not necessarily a parallelogram because only one diagonal is bisected and only one pair of sides is congruent.

-yes

6 0
3 years ago
Read 2 more answers
You can perform 6 push-ups in 24 seconds. Write and
algol13

Answer:

480 push ups

Step-by-step explanation:

24/6 = 4

meaning they are doing 4 push ups per second, this is your slope

the equation of your line is y = 4x, you can graph this using a table of values (i attached a graph tho)

2 minutes = 120s

y = 4(120)

y = 480

7 0
3 years ago
Choose the graph of y &lt; -x^2 + 4x + 5<br><br><br> edge2020
jok3333 [9.3K]

First one the one that has the blue inside

7 0
3 years ago
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