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Sati [7]
3 years ago
13

The ordered pairs (6, 8), (9,12),(x, 20),(18,y) represent a proportional relationship. find the value of x and y. (choose two an

swers)
a. x=8
b. x=12
c. x=15

a. y=21
b. y=24
c. y=28
Mathematics
1 answer:
Reil [10]3 years ago
8 0

Answer:

  • We have two points so let's use them effectively
  • We know that the x changes by 3 and the y changes by 4
  • Hence to get to y=20 we moved 2 times (8 units) so it's 9+ 3 + 3= 15
  • So x= 15
  • Now for y We have an x= 18, from 9 we moved 9 units of 3 total intervals: 4+4+4+12= 24
  • y=24
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Are rectangles ABCD and WXYZ congruent? Why or why not? Yes, all right angles were preserved. Yes, both rectangles have an area
Setler79 [48]

Answer:

D. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Step-by-step explanation:

Two figures are congruent if their vertices can be mapped into one another by appropriate rigid transformation or combination of rigid transformations. Examples of the transformation are; reflection, dilation, rotation and translation.

Comparing the two figures, it would be observed that they are not congruent. Since there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

3 0
3 years ago
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A firm producing 7 units of output has an average total cost of Rs. 150 and has to pay Rs.350 to its fixed factors of production
maria [59]

Rs 100 of the average total cost is made up of variable costs.

Step-by-step explanation:

Given:

Number of output the firm produces= 7 units

Average cost of the output= Rs. 150

fixed factors of production = Rs.350

To Find:

How much of the average total cost is made up of variable costs=?

Solution:

we know that,

Average total cost= total cost/ number of output units produced

substituting the values, we get

150=\frac{\text{Total cost}}{7}

Total cost= 1050

we know that Total fixed cost = 350

Total cost = Total fixed cost + Total variable cost

plug in the known values.

1050= 350 + Total variable cost

Total variable cost = 1050-350

Total variable cost =700

For 7th unit \frac{700}{7} = 100

5 0
3 years ago
ABCD is a rectangle with diagonals segment AC and segment BD. If AC = 2х + 10 and BD -=56, find the value of х." О23О33О 78 O 12
Aleks04 [339]

Answer:

Step-by-step explanation:

The diagonals of a rectangle are equal.

2x + 10 = 56         That minus sign can't be there. Subtract 10 from both sides.

2x  = 56 - 10         Combine

2x = 46                 Divide by 2

x = 46/2

x = 23

7 0
3 years ago
Please help number 5 thank you
Triss [41]

Answer    2,290 of total sheets of paper she bought.

Step-by-step explanation:

65x36=2340

subtract 50 for the black pages that she did not use.

2340-50=2,290

6 0
3 years ago
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A map has a scale of 3 in. = 16 mi. If you measured the distance between two cities to be 23 in. on the map, how many miles woul
Scrat [10]

Answer:

122.667

Step-by-step explanation:

23/3=7.667

7.667*16=122.667

8 0
3 years ago
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