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sveticcg [70]
3 years ago
15

The perimeter of the rectangle below is 74 units. Find the length of side RS

Mathematics
2 answers:
Goryan [66]3 years ago
6 0
The answer is 28 if you use the method I used

Alika [10]3 years ago
4 0

Answer:

20 units

Step-by-step explanation:

The perimeter of a rectangle is

P = 2(l+w)

P = 2( 3x+2 + 4x)

Adding like terms

P = 2( 7x+2)

We know the perimeter is 74 units

74 = 2 ( 7x+2)

Divide by 2

74/2 = 2/2 (7x+2)

37 = 7x+2

Subtract 2 from each side

37-2 = 7x+2-2

35 = 7x

Divide by 7

35/7 = 7x/7

5 =x

We want to find the length RS = PQ = 4x

RS = 4x = 4*5 = 20

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In an isosceles triangle two sides are equal. The third side is two less than twice the length of the two equal sides. The perim
pogonyaev

Answer:

The equal sides' length = 10

Third side length = 18

Step-by-step explanation:

Let the two equal sides' length be "x"

Let the third side length be "y"

Third side (y) is 2 LESS THAN TWICE the equal side, so we can write:

y = 2x - 2

The perimeter is 38. The perimeters is the sum of all three sides. So we can write:

x + x + y = 38

Replacing y with 2nd equation, we have:

x + x + (2x - 2) = 38

Now, we can solve this for x first:

x + x + (2x - 2) = 38\\x+x+2x-2=38\\4x=38+2\\4x=40\\x=10

Now, y is:

y = 2x - 2

y = 2(10) - 2

y = 20 - 2

y = 18

The equal sides' length = 10

Third side length = 18

3 0
3 years ago
The coordinates of DEF are D(3,4), E(6,4), and F(5,9). If you translate DEF 3 units left and 2 units up, what are the coordinate
grigory [225]

EXPLANATION:

1.We must locate the points that the exercise gives us in the Cartesian plane.

2.The figure that it gives us must be moved 3 units to the left and then 2 units up.

3.To correctly translate a figure, we must add the units that the exercise indicates and towards the correct direction, if it tells us that to the left is towards the negative axis, then each of the points given in the exercise we will transfer 3 units towards the left and then add each of the points two units up, then we see that the triangle takes new coordinates for the points.

4.The new coordinates for point E are (3,6)

7 0
1 year ago
A reindeer can fly at a speed of 40 miles an hour. How far will fly in 2 1/2 hours
maw [93]

Answer:

100 miles

Step-by-step explanation:

Hope this helps

3 0
3 years ago
Hurry 50 points for correct answer
Ad libitum [116K]

Answer: <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>

Step-by-step explanation:

The equation x=\sqrt{6x+7} can be solved by squaring both sides:

x^2 = 6x + 7\\\\x^2 - 6x - 7 = 0\\\\(x-7)(x+1) = 0

We can see that -1 and 7 are solutions, but make sure they are not extraneous by substituting them in the original equation:

1 = \sqrt{-1}\\ 7 = \sqrt{49}

The square root of 49 equals 7, but the square root of -1 is an imaginary number.

The correct choice is <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>

4 0
3 years ago
5 points
Alinara [238K]
C negative numbers are always last.
8 0
2 years ago
Read 2 more answers
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