It would sure help a lot if I could take a peek at the drawings of the triangles.
Answer:
~ Well congruent means that all sides and angles are equal, so if sides aren’t congruent it means they are not the same size, angle or sides.
Answer:
7A. x = 6
7B. m∠ABC = 135°
Step-by-step explanation:
7A. I forget what the rule is called specifically, but the opposite angle is always congruent. So, you simply end up solving for x when you set the equation to equal 45.
7B. Use the supplementary rule, which basically states that two angles on a flat plane, when adjacent, equal 180°. So, 180 - 45 = 135.
God, my terminology is awful, but that's besides the point.
Solution
For this case we can do the following:
11y - 3x = 18
16y -3x = 33
We can multiply the first equation by -1 and we got:
-11y +3x =-18
16y -3x = 33
_______________
16y -11y = 33-18
5y = 15
y= 15/5 = 3
And then solving for x we got
x = -(18 -11*3)/ 3= -15/3 = 5
Answer:
0.6603 = 66.03% probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Sent by ABC Speedy Delivery Service.
Event B: Arrived on time.
The probability that any given parcel will be sent by the ABC Speedy Delivery Service is 0.71.
This means that 
The probability that the parcel will arrive on time given the ABC Speedy Delivery Company was used is 0.93.
This means that 
Find the probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.
This is
. So

0.6603 = 66.03% probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.