Answer:
AA similarity postulate
Explanation:
For triangle XZY, the angles are 90°, 40°, 50°.
For triangle AXB, the angles are 90°, 40°, 50°.
Which states that all the angles are of equal measure in the triangles.
This is stated by AA similarity theorem meaning when two angles are equal in the triangle. Then the triangles are congruent to each other.
Answer:
m∠ABD = m∠CBE ⇒ by subtracting a common angle from the given angles
Step-by-step explanation:
∵ m∠ABE = m∠CBD
∵ m∠ABD = m∠ABD + m∠DBE
∵ m∠CBD = m∠CBE + m∠EBD
∵ ∠EBD is common angle between them
∴ m∠ABD = m∠CBE
Answer: 390
Step-by-step explanation:
Let's think of an example which would better help visualize this situation.
1) Someone exercises a lot so they can concentrate more on their homework (here running and concentration on homework are dependent events)
2) Someone exercises a lot because they wear a blue t-shirt (here, you can clearly see that wearing a blue shirt and exercising are not related. These events are independent).
Now concentrating on P(a | b) = Probability a occurred if b occurred.
It does not matter if b occurred (just like it didn't matter that the person wore a blue shirt which meant that they exercised) for the outcome a to occur.
Therefore, probability of P(a | b) = P(a)
P(a | b) = 0.65
Hope I helped :)
Answer:
a) 0.4567
b) 6 hours
Step-by-step explanation:
We are given the following information the question:
The battery life follows a normal distribution with
Formula:
a) We have to find probability such that battery life exceeds 10 hours, that is,
P(X>10)
b) We have to find battery life such that
Here, we calculated the value of z from the normal distribution table.
So, after approximately 6 hours one should plan to recharge the phone.
