Given:
A figure in which a transversal line intersect two parallel lines.
and
.
To find:
The value of x and y.
Solution:
We know that, if a transversal line intersect two parallel lines, then
(1) Alternate exterior angles are equal.
(2) Same sided interior angles are supplementary. So their sum is 180 degrees.
In the given figure j and k are parallel lines and l is a transversal line.
From the given figure, it is clear that,
(Alternate exterior angles are equal)



Therefore, the value of x is 20.
Now,
(Same sided interior angles are supplementary)






Therefore, the value of y is 38.
The answer is the third one
Answer:
x = -4.8
Step-by-step explanation:
combine like terms
3x + 2x + 6 = -18
5x + 6 = -18
isolate the terms with the x variable
5x + 6 - 6 = -18 - 6
5x = -24
isolate x
5x/5 = -24/5
x = -4.8
If we translate the facts into location equations, xM=Mona's location, xL=Lina's location, then we get:
xM(t) = 300t
xL(t) = v*t - 1000
xM(10)=xL(10)
Where v is Lina's speed we have to find.
Plugging them all together gives:
300*10 = 10v - 1000
Which can be solved:
3000 + 1000 = 10v
4000 = 10v
v=400
Lina should skate at 400 feet per minute!
Answer:
she uses 43 kilograms of clay in all
Step-by-step explanation: