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sergejj [24]
3 years ago
7

Using the SAS Congruence Theorem

Mathematics
1 answer:
marshall27 [118]3 years ago
3 0

Sorry this got to you super late. At least others looking for the answer can find it.

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Find the shortest side of a triangle whose perimeter is 64 if the ratio of two of its sides is 4:3 and the third side is 20 less
Sergio039 [100]

Answer:

The shortest side of the triangle is 18

Step-by-step explanation:

Let the sides the triangle be x, y and z.

From the question, the perimeter of the rectangle is 64, that is

x + y + z = 64 ...... (1)

Also, the ratio of two of its sides is 4:3, that is x:y = 4:3, then we can write that x/y = 4/3 ⇒ 3x = 4y ...... (2)

The third side, z, is 20 less than the sum of the other two, that is

z + 20 = x + y ...... (3)

Substitute equation (3) into (1)

Then,

z + 20 + z = 64

2z +20 = 64

2z = 64 - 20

2z = 44

z = 44/2 k

z = 22

From equation (3)

z + 20 = x + y

Then, k

22 + 20 = x +y

42 = x + y

x = 42 - y ...... (4)

Substitute this into equation 2

3x = 4y

3(42-y) = 4y

126 - 3y = 4y

4y + 3y = 126

7y = 126

y = 126/7

y = 18

Substitute this into equation (4)

x = 42 - y

x = 42 - 18

x = 24

∴ x = 24, y = 18 and z = 22

Hence, the shortest side of the triangle is 18.

4 0
2 years ago
Help me solve this please -22-x=5+6x+9
ollegr [7]

Answer: x = -5  1/7

Step-by-step explanation:

-22 - x = 5 + 6x + 9

First, combine the like terms 5 and 9

5 + 9 = 14

-22 - x = 14 + 6x

Add x to each side

-22 = 14 + 7x

Subtract 14 from each side

-36 = 7x

Divide each side by 7

x = -5 1/7 (Yes, a fraction.)

8 0
3 years ago
Find the slope of a line from these two coordinates.
tankabanditka [31]

This is wrong.

It's supposed to be -4/15.

But try -4/5.

7 0
3 years ago
Write the equation of the circle graphed below
Norma-Jean [14]

Answer:

The equation of the circle is

(x + 2)² + (y + 2)² = 9

Centered at (-2, -2), with radius of 3 units.

Step-by-step explanation:

The general equation of a circle is given as

(x - h)² + (y - k)² = r²

Where (h, k) is the center of the circle, and r is the radius.

Looking at the graph, the center is the red dot. It corresponds to -2 on the y-axis, and -2 on the x-axis. So, the center (h, k) is (-2, -2).

The radius is the distance from the center of the circle to the edge of the circle. The red dot is the edge of the circle, there are 3 lines that represent 3 units, so we have a radius of 3 units.

Using these in the general equation, we have

[x - (-2)]² + [y - (-2)]² = 3²

(x + 2)² + (y + 2)² = 9

And this is the equation.

6 0
3 years ago
Find the product.
dangina [55]
1) (12p-3)(12p-3)
=144p^2-36p+36p+9
=144p^2+9 (-36+36=0 so it cancels out)
4 0
3 years ago
Read 2 more answers
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