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AlladinOne [14]
3 years ago
15

What is the midpoint of h(7,10),x(5,-8)

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
8 0
See attachment

then we add 7 and 5 and divide that by 2, which gives you 6 (x-coordinate)
and add 10 and -8 and divide that by 2, which gives you 1 (y-coordinate)

the answer is (6, 1)

justification
so midpoint is basically the middle point of 2 points
that's why we have to add the two x coordinates first then divide it by 2
                               or add the two y coordinates then divide it by 2

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The ratio of the width to the length of a rectangle is 2:3, respectively. Answer each of the following. a By what percent would
Elina [12.6K]

Answer:

The percentage increase in Area of rectangle is 200%

Step-by-step explanation:

Given as :

The  ratio of the width to the length of a rectangle is 2:3

Let The length of rectangle = 2 x

Let The width of rectangle = 3 x

∵ Area of rectangle = length × width

So, A_1 = 2 x × 3 x

Or,  A_1  =  6 x²

<u>Again</u>

The increased length of rectangle = 2 x + 2 x = 4 x

The increase width of rectangle = 3 x + 50% of 3 x

I.e The increase width of rectangle = 3 x + 1.5 x = 4.5 x

∵ Increased Area of rectangle = increased length × increased width

Or,   A_2  = 4 x × 4.5 x  = 18 x²

So, The percentage increase in area = \dfrac{A_2 - A_1}{A_1} × 100

Or, The percentage increase in area = \frac{18 x^{2}-6x^{2}}{6x^{2}} × 100

Or , The percentage increase in area = \dfrac{12}{6} × 100

∴ The percentage increase in area  = 200

Hence, The percentage increase in Area of rectangle is 200% Answer

5 0
3 years ago
Determine the number of ways a computer can randomly generate one or more such integers from 1 through 30. Two distinct integers
Thepotemich [5.8K]

Answer:

There are 26 possible way to determine two  distinct integers whose sum is 27.

Step-by-step explanation:

To find : The number of ways a computer can randomly generate one or more such integers from 1 through 30. Two distinct integers whose sum is 27.

Solution :

We have given the numbers from  1,2,3,4......,29,30.

In order to get two distinct numbers having the sum 27,

There are the possibilities :

1+26=27

2+25=27

3+24=27

......

24+3=27

25+2=27

26+1=27

The maximum number taken is 26.

So, There are 26 possible way to determine two  distinct integers whose sum is 27.

5 0
3 years ago
The ratio of the measures of the acute angles of a right triangle is $8:1$. In degrees, what is the measure of the largest angle
victus00 [196]

Answer:

The angles in the triangle and 10, 80 and 90

Step-by-step explanation:

The two angles that are left in a right triangle add to 90 degrees

8:1 means that there total is 9

8x+1x = 9x

9x = 90

Divide by 9

9x/9 = 90/9

x = 10

8*10 = 80

1*10 = 10

The angles are 80 and 10

The angles in the triangle and 10, 80 and 90

4 0
2 years ago
What x value solves the equation? 3x – 5 = 1 x =
USPshnik [31]

Answer:

x = 2

Step-by-step explanation:

3x - 5 = 1

Adding 5 to both sides gives us:

3x - 5 + 5 = 1 + 5

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Dividing the equation by 3 gives us:

3x / 3 = 6 / 3

x = 2

8 0
3 years ago
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Find the area of the rectangle with measurements shown; reduce to lowest terms:
AleksandrR [38]

Answer:

4/5

Step-by-step explanation:

the area of rectangle is length × breadth

length = 2 2/5 breadth = 1/3

2 2/5 × 1/3 = 12/15

reducing to the lowest term =4/5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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