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Naily [24]
1 year ago
7

9 A rectangle and a square have the same area. The length

Mathematics
1 answer:
alexira [117]1 year ago
7 0

Answer:

Step-by-step explanation: If the square is 30 ft on one side the other side must be too. So 30x30 = 900. Now, we know the rectangle must also be 900 in area. So, the width must be 10feet and the length must be 90ft because 10x90 is also 900. How I got the length? I did 10x2+70.

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Simplify: (7a − 9c) − (−12a − 33c) − (−21a + 10c)
CaHeK987 [17]
Distribute all the negatives: 7a-9c+12a+33c+21a-10c

simplify:
40a+14c
6 0
3 years ago
Read 2 more answers
An angle measures 40.2° more than the measure of its complementary angle. What is the measure of each angle?
vampirchik [111]
<h3>Solving for the measurements of Complementary Angles</h3><h3>Answer:</h3>

24.9^{\circ} and 65.1^{\circ}

<h3>Step-by-step explanation:</h3>

Recall that Angles that are complementary to each other add up to 90^{\circ}.

Let a be the measure of the complementary angle.

If an angle is 40.2^{\circ} more than its complementary angle, the measure of that angle is a +40.2. The sum of both angles are expressed a +(a +40.2) but since the have to add to 90 as they are complementary, a +(a +40.2) = 90.

Solving for a:

a +(a +40.2) = 90 \\ a +a +40.2 = 90 \\ 2a +40.2 = 90 \\ 2a +40.2 -40.2 = 90 -40.2 \\ 2a = 49.8 \\ \frac{2a}{2} = \frac{49.8}{2} \\ a = 24.9

Since the other angle measures a +40.2, we can plug in the value of a to find the measure of the angle.

Evaluating a +40.2:

a +40.2 \\ 24.9 +40.2 \\ 65.1

The measure of the angles are 24.9^{\circ} and 65.1^{\circ}

4 0
2 years ago
graph the image of this figure after a dilation with a scale factor of 2 centered at the origin use the polygon tool to graph t
Iteru [2.4K]

Answer:

For this answer, I will label the points. Starting at the top left, then top right, then bottom left and bottom right let the points be A, B, C, D.

The new coordinates will be

A(-4,10)

B(4,10)

C(-4,4)

D(4,4)

Step-by-step explanation:

The question is asking for a dilation which is a transformation that makes an image proportionately smaller or larger by a scale factor. The scale factor is how much smaller or larger the shape will be, if the scale factor is between 0 and 1 then it will shrink, if it is greater than one then the image will stretch (be larger). In this case, the scale factor is 2, therefore the image will stretch. Since the center of dilation is the origin, to find the new coordinates simply multiply each x and y value by the scale factor. So A's original coordinates (-2,5) become (-4,10) and so forth. Therefore the equation for this dilation is (x, y) → (2x,2y).

4 0
2 years ago
Read 2 more answers
A holiday meal cost 12.50 a person plus a delivery fee of $30 at we cater. The same meal cost $15 a person with no fee at Good E
4vir4ik [10]

Given :

A holiday meal cost 12.50 a person plus a delivery fee of $30 at we cater.

The same meal cost $15 a person with no fee at Good Eats.

To Find :

When does we cater become the better deal.

Solution :

Let , x is number of order .

Cost at cater , C = 12.5x + 30 .

Cost at Good Eats , G = 15x .

We need to find :

G > C

15x>12.5x + 30\\\\2.5x>30\\\\x>12

Therefore, after 12th order cater will be more value for money.

Hence, this is the required solution.

3 0
3 years ago
The formula for the area of a parallelogram is A = bh, where b is the base and h is the height. A parallelogram that is not draw
Ksivusya [100]

The simplified expression for the area of the parallelogram is A = 2x³ - 8x² - 6x + 24

The base of the parallelogram is represented by b

b = (x - 4)

The height of the parallelogram is represented by h

h = (2 {x}^{2}  - 6)

The area of the parallelogram is represented by A

A = bh

A = (x - 4)(2x²- 6)

A = 2x³ - 6x - 8x² + 24

A = 2x³ - 8x² - 6x + 24

The simplified expression for the area of the parallelogram is A = 2x³ - 8x² - 6x + 24

Learn more here: brainly.com/question/25601035

7 0
2 years ago
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