Lines A and B are parallel lines cut by transversal, t which of the following equations could be used to find the value of x?

H

Step-by-step explanation:

When 2 parallel lines are cut by transversal, it creates 4 pairs of equal angles.

If you see the top "cutting" part, we can say "13x - 15" angle and the angle beside is a straight angle (180 degrees), so their sum is 180. Also, vertically with the "13x - 15" angle, there is another angle, that also creates a line, so their sum would be 180 as well.

Now, the angle "22x + 9" goes same in the below part of the "cutting" point. They are the same angles as the 4 angles on top "cutting" part.

Thus, we can say "13x - 15" and "22x +9" are corresponding angles and they are EQUAL in measure.

So, we can write the equation:

13x - 15 = 22x + 9

THen we can solve for "x".

Equation H is right.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

answer:

step-by-step explanation:

here, the total dishes = 10

dishes having meat = 3 ( chicken, meatloaf and hamburger )

thus, the probability of having meat on the chosen dishes = number of dishes having meat / total dishes

=

therefore, the probability of not having meat = 1- the probability of having meat on the chosen dishes

=

=

=

⇒ option b is correct.