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3 years ago

What information is needed in order to apply the hypotenuse-leg (HL) theorem

Mathematics

1 answer:

Lorico [155]3 years ago

6 0

Answer:

This theorem states that 'if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent. ' This is kind of like the SAS, or side-angle-side postulate. But SAS requires you to know two sides and the included angle.

Step-by-step explanation:

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-3x + 3y = 4 -x+ y = 3

Natalka [10]

Answer:

No solution

Step-by-step explanation:

-3x + 3y = 4

-x + y = 3

Solve the equation for x:

Move the variable to the right side and change its sign

-x + y = 3

-x = 3 - y

Change the signs on both sides of the equation

-x = 3 - y

x = -3 + y

Substitute the given value of x into the equation -3x + 3y = 4

-3x + 3y = 4

x = -3 + y

-3(-3+y)+3y=4

Solve the equation for y

-3(-3+y)+3y=4

y = 0

There is no solution for y.

And since there's no solution for y, the system has no solution.

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3 years ago

Find the coordinates of the midpoint of the segment with the given endpoints.

uysha [10]

$(\frac{x_{1} + y_{1}}{2}, \frac{x_{2} + y_{2}}{2}) \\(\frac{6 + 10}{2}, \frac{-3 + 5}{2}) \\(\frac{16}{2}, \frac{2}{2}) \\(8, 1)$

8 0

3 years ago

The product of 5 and m squared, increased by the sum of the square of m and 5

weqwewe [10]

$The\ product\ of\ 5\ and\ m=5\times m=5m\\\\increased\to+\\\\the\ sum\ of\ a\ square\ of\ m\ and\ 5=m^2+5\\\\\huge\boxed{5m+(m^2+5)=5m+m^2+5}$

8 0

3 years ago

2. Simplify the product using FOIL. (2x – 7)(5x + 5)

Svetllana [295]

Answer: 10x - 25x - 35

Step-by-step explanation:

F 2x times 5x = 10x

O 2x times 5 = 10x

I -7 times 5x = -35x

L -7 times 5 = -35

Hope This Helps :)

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3 years ago

Read 2 more answers

Write the fraction 46/90 in its simplest form

katovenus [111]

Simplest form is 23/45

6 0

3 years ago