The points A,B,C,D make up the circumference of the circle
The measure of angle BAD is 65 degrees
<h3>How to determine the measure of angle BAD?</h3>
The measure of angle ODB is given as:
ODB = 25 degrees
Considering the triangle BOD, we have:
ODB + BOD + DBO = 180
Where:
ODB = DBO = 25
So, we have:
25 + BOD + 25 = 180
Solve for BOD
BOD = 130 degrees
The angle at an arc is twice the angle at the circumference.
So, we have:
BOD = 2 * BAD
Substitute 130 for BOD
130 = 2 * BAD
Divide both sides by 2
65 = BAD
Hence, the measure of angle BAD is 65 degrees
Read more about angle measures at:
brainly.com/question/17972372
Answer:
31.82% probability that this day would be a winter day
Step-by-step explanation:
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: Rain
Event B: Winter day
Probability of rain:
0.42 of 0.25(winter), 0.23 of 0.25(spring), 0.16 of 0.25(summer) or 0.51 of 0.25(fall).
So

Intersection:
Rain on a winter day, which is 0.42 of 0.25. So

If you were told that on a particular day it was raining in Vancouver, what would be the probability that this day would be a winter day?

31.82% probability that this day would be a winter day
Answer:
2x + 3y = 6
Step-by-step explanation:
obtain the equation in slope- intercept form
y = mx + c ( m is the slope and c the y-intercept )
here m = -
and c = 2
y = -
x + 2 ← in slope-intercept form
multiply all terms by 3 to eliminate the fraction
3y = - 2x + 6 ( add 2x to both sides )
2x + 3y = 6 ← in standard form
Answer:
6 apples, 21 apples, 30 apples respectively
Step-by-step explanation:
Let us first start by writing <u>expressions</u> so that we can easily solve for the problems below.
Let us suppose Alice is x. In this case, Claire has 3 times Alice's apples, so 3x.
1. If Alice has 2 apples (x), then Claire has 3x
3*2=<u>6 apples</u>
Claire has 6 apples.
2. If Alice has 7 apples (x), then Claire has 3x
3*7=<u>21 apples</u>
Claire has 21 apples.
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3. If Alice has 10 apples (x), then Claire has 3x
3*10=<u>30 apples</u>
Claire has 30 apples.
<em>I hope this helps! Please let me know if you have any further questions :)</em>