Answer:
AAS(Angle-Angle-Side) postulate states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then the two triangles are congruent
In triangle RAS and triangle QAT
[Angle]
[Side] [Given]
By Base Angle Theorem states that in an isosceles triangle(i.e, AST), the angles opposite the congruent sides(AS =AT) are congruent.
⇒ 
[By base ∠'s of isosceles triangle are equal]
By definition of supplementary angles, if two Angles are Supplementary when they add up to 180 degrees.
, 
are supplementary and 
, 
are supplementary.
⇒
and
Two 
supplementary to equal
Since, 
then, we get;
[Angle]
then, by AAS postulates,
By CPCT[Corresponding Part of Congruent Triangles are equal]
Hence Proved!
As shown in the model below, there are three lines.
Hrbdjrb283.3jdjrhehhdhrbd
Answer:
Explanation:
The theoretical probability, P (A), of an event, A, is:
- P(A) = number of outcomes of event A / total number of possible outcomes
For 10 cranberry and 15 strawberry juices, the number of outcomes for two strawberry juices are:
- Combination of 15 strawberry juices chosen in two:
The total number of possible outcomes is:
- Combination of 25 juices chosen in two:
Thus, the probability of randomly picking two strawberry juices is:
- P (two strawberry juices) = 105/300 = 7/20
Note that you can obtain it as the product of the probabilities that the first juice is a strawberry juice and the second juice is also strawberry juice:
It's two. 50% chance of heads, 50% chance of tails.
