Those two angles are alternate interior angles, so they must be congruent.
3x = 2x + 20
x = 20
Two triangles are similar if and only if all corresponding angles are equal (congruence), even if the corresponding sides are equal or not, therefore the answer is true because ΔJKL and ΔRST are similar and the statement above demands that "it must be", namely, this is a sufficient condition.
Answer:
289/290
Step-by-step explanation:
Given that the chance of Donnell being selected is 1/290
then P( Donnell being selected )= 1/290
Since Donnell and Maria are both member of a population.
from probability theorem which gives the likely hood of an event to happen which cannot be more than 1, then the probability of Donnell and Maria to be selected is 1
P(Donnell and Maria)= 1
But the chance of Donnell being selected is 1/290
Then,
1/290 + P(Maria)= 1
P(Maria)= 1-(1/290)
= 289/290
the chance of Maria being selected is 289/290
X = 19.
Explanation:
This expression is vertical from the angle 135, meaning it is congruent. With that being said, we would need to find what 7 multiplies by to give us 2 less than 135, which would be 133. Because 133 divided by 7 equals 19, x = 19. If we plug this in, we get the following equation: 7(19) + 2 = 135.
