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2 years ago

Which three pairs of side lengths are possible measurements for the triangle?

Mathematics

1 answer:

katrin2010 [14]2 years ago

4 0

Answer:

AB = 6, BC = 6

AB = 4, AC = 4√2

BC = 2√2, AC = 4

Step-by-step explanation:

The sides of an isosceles right triangle are in the ratio 1:1:√2 where √2 is the hypotenuse.

So if, for example, BC = 2√2, then AC = 2√2 * √2 = 4.

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What is the solution to the system of equations?

Dovator [93]

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}x+3y+2z=8&(1)\\3x+y+3z=-10&(2)\\-2x-2y-z=10&(3)\end{array}\right\qquad\text{subtract both sides of the equations (1) from (2)}\\\\\underline{-\left\{\begin{array}{ccc}3x+y+3z=-10\\x+3y+2z=8\end{array}\right }\\.\qquad2x-2y+z=-18\qquad(4)\qquad\text{add both sides of the equations (3) and (4)}\\\\\underline{+\left\{\begin{array}{ccc}-2x-2y-z=10\\2x-2y+z=-18\end{array}\right}\\.\qquad-4y=-8\qquad\text{divide both sides by (-4)}\\.\qquad\qquad y=2\qquad\text{put the value of y to (1) and (3)}$

$\left\{\begin{array}{ccc}x+3(2)+2z=8\\-2x-2(2)-z=10\end{array}\right\\\left\{\begin{array}{ccc}x+6+2z=8&\text{subtract 6 from both sides}\\-2x-4-z=10&\text{add 4 to both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+2z=2&\text{multiply both sides by 2}\\-2x-z=14\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+4z=4\\-2x-z=14\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad3z=18\qquad\text{divide both sides by 3}\\.\qquad\qquad z=6\qquad\text{put the value of z to the first equation}$

$x+2(6)=2\\x+12=2\qquad\text{subtract 10 from both sides}\\x=-10$

4 0

2 years ago

The height h is greater than 2.5 meters.<br> Write an inequality for the word sentence

Zielflug [23.3K]

Answer:

H > 2.5

Step-by-step explanation:

Greater = >

Lessthan = <

Equal = =

4 0

2 years ago

X - 0.25x = 0.75x

MrRissso [65]

I have no idea myself

3 0

2 years ago

HELP! BRAINLIEST! AHJHHHHHH

zalisa [80]

Answer:

129.5 Square feet is the correct answer.

Step-by-step explanation:

I am a 100% SURE of that.

Hope this helps....

Have a nice day!!!!

7 0

3 years ago

15 = 2c + 7<br> Solve for c

DaniilM [7]

Step-by-step explanation:

15=2c+7

15-7=2c

8=2c

8/2=c

4=c

c=4

5 0

2 years ago

Read 2 more answers