Answer:
1.
2.
Step-by-step explanation:
Q1. Given circle k(O).
The measure of the arc FE is 56°, this means the measure of the central angle FOE is 56° too.
Consider triangle FOE. This triangle is isosceles triangle with the base FE because FO = EO as radii of the circle.
Angles adjacent to the base of the isosceles triangle are congruent, so
The sum of the measures of all interior angles in the triangle FEO is always 180°, then
Angle FDE is inscribed angle subtended on the arc FE, hence its measure is the half of the central angle FOE:
Since FD = ED, thriangle FDE is isosceles triangle with congruent angles adjacent to the base FE. Then
Q2. If the measure of the arc RU is 50°, then the measure of the central angle ROU is 50° too.
If the measure of the arc UT is 30°, then the measure of the central angle TOU is 30° too.
Triangle ROU is isosceles triangle because RO = UO as radii of the circle. Angles adjacent to the base of the isosceles triangle are congruent, so
The sum of the measures of all interior angles in the triangle ROU is always 180°, then
Angle UST is inscribed angle subtended on the arc UT and has the measure that is half the measure of the central angle TOU:
2x*(4x^2)*(2x^2+x+7)
8x^3*(2x^2+x+7)
16x^5+8x^4+56x^3
Hope this helps :)
Answer:
a) False
b) True
Step-by-step explanation:
Given : The chance of A is ; the chance of B is
To find : True or false, and explain ?
Solution :
a) If A and B are independent, they must also be mutually exclusive.
Two events are mutually exclusive, if the events cannot occur at the same time.
When events A and B are independent, then the chance of event B is not affected by event A occurring.
However, when events A and b are mutually exclusive, then the chance of event B needs to change to 0 when event A has occurred as B cannot occur when A occurs.
Which means the given statement is false.
(b) If A and B are mutually exclusive, they cannot be independent.
Two events are independent, if the probability that one event occurs in no way affect the probability of the other event occurring.
When events A and B are mutually exclusive, then the chance of event B needs to change to 0 when event A has occurred as B cannot occur when A occurs.
Which means, the given statement is true.
First find the angle of WVZ
Plug that into (2x-3) to get the angle WVZ:
That should be your answer