Answer:
Step-by-step explanation:
y = x - 5
2x - 5y = 1
2x - 5(x - 5) = 1
2x - 5x + 25 = 1
-3x + 25 = 1
-3x = -24
x = 8
y = 8 - 5
y = 3
(8, 3)
9514 1404 393
Answer:
Step-by-step explanation:
The angles of a linear pair are supplementary. That is, they total 180°. The angle marked x° and the one marked 72° are a linear pair:
x° +72° = 180°
x = 180 -72 = 108 . . . . . . . divide by °, subtract 72
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Vertical angles are congruent. Angles y° and 72° are vertical angles, so ...
y = 72
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Angles z° and 72° together make a right, which has a measure of 90°.
z° +72° = 90°
z = 90 -72 = 18 . . . . . . . divide by °, subtract 72
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(x, y, z) = (108, 72, 18)
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<em>Additional comment</em>
Angles 72° and x° form a linear pair, as do angles x° and y°. That is, angles 72° and y° are both supplementary to angle x°. Angles that are supplementary to the same angle are congruent. This will be the case for any vertical angles: they are supplementary to the same angle.
We are told that each person flips a coin 200 times. We know that a coin has two options when heads or tails fall, therefore, the results between Amir and Marvin are compared with the number of heads and the number of tails that each one obtained.
The theoretical probability says that out of 200 times a coin is flipped by having 50% heads or tails come out, 100 must be heads and 100 must be tails, theoretically obviously speaking.
Therefore with these values it would be the comparison.
You have to add .7+.7+5+5=11.4
Answer:
B
Step-by-step explanation:
Pythagorean theorem:
6^2 + (4/2)^2 = x^2
36 + 4 = x^2
40 = x^2
x = 
= 
Answer is B
