Answer:
(−2, 3), because both lines pass through this point
Step-by-step explanation:
The meaning of "solution to the system of equations" is that both lines intersect at the solution point. That is, they both pass through that point.
Frist you do 6*13
Which equals 78
Then you do 8,500/78
Which equals <span>108.974358974</span>
<span>Then you round it to 109</span>
<span>and there's your awnser</span>
<span>
</span>
<h3>
Answer: 130</h3>
Explanation:
Let x be the unknown angle we want to find.
Let y be adjacent and supplementary to x. This means x+y = 180
Let z also be adjacent and supplementary to x. So x+z = 180 also
Subtracting the two equations leads to y-z = 0 and y = z. So effectively we've proven the vertical angle theorem.
Since the supplementary angles to x add to 100, we know that y+z = 100. Plug in y = z and solve for z
y+z = 100
z+z = 100
2z = 100
z = 100/2
z = 50
Therefore,
x+z = 180
x+50 = 180
x = 180-50
x = 130
True I believe my friend.
9514 1404 393
Answer:
0.344
Step-by-step explanation:
There are 20C10 = 184,756 ways to choose 10 problems at random from a list of 20.
There are 10C5 = 252 ways to choose 5 of the 10 algebra problems, and the same number of ways to choose 5 of the 10 geometry problems. Then there are 252² = 63,504 ways to choose 5 problems each of algebra and geometry.
The probability of choosing 5 problems in each category is ...
63504/184756 ≈ 0.344