Answer:
Step-by-step explanation:
Solve for :
-Use <u>Distributive Property</u>:
-Combine like terms:
-Subtract from :
-Add on both sides :
-Take divide it on both sides of the equation:
Therefore, the value of is .
Answer:
D) 10.5
Step-by-step explanation:
4 2/3 = 14/3
Ratios:
Answer:
Step-by-step explanation:
The sum of the angles on a straight line is 180 degrees. Therefore,
Angle XYZ + angle MYZ = 180
Angle XYZ + 115 = 180
Angle XYZ = 180 - 115 = 65 degrees
The sum of the angles in a triangle is 180 degrees. It means that
Angle XZY + angle YXZ + angle MYZ = 180
Therefore,
4k + 5 + 6k + 10 + 65 = 180
4k + 6k + 5 + 10 + 65 = 180
10k + 80 = 180
10k = 180 - 80 = 100
Dividing the left hand side and the right hand side of the equation by 10, it becomes
10k/10 = 100/10
k = 10
Answer:
The lines ared skew
Step-by-step explanation:
First we check if they are parallel. To do this we compare the ratios of the slopes of each component, and this should be the same:
As we can see the ratios are different so they are not parallel lines.
Now we test for intersesction:
we have to equate each component and solve it as a system:
- 3-2t=-1-u
- 7+4t=18+3u
- -3+8t=7+2u
From equation 1: u=2t-4 we replace this in eq. 2
From equation 2: t=1/2 replacing both in equation 3 should give us an identity
From equation 3: we reach 1=3 as this is not true, out hypothesis that the lines intersect is wrong.
Since this lines are not paralel and don't intersect we must conclude that the are skew
Answer:
6 runners finished the race
Step-by-step explanation:
it starts with 90 runners. then 1/3 of them dropped out in the second half of the race, that means you do 90 divided by 3
90 ÷ 3 = 30
Then, 1/5 of the runners remained.
That means you do 30 divided by 5
30÷ 5= 6
so the answer is 6 remaining runners finished the race.