Answer:
See below.
Step-by-step explanation:
52 as there is a total of 52 in the pack.
Probability (drawing a red card) =26/52 = 1/2.
4 aces.
Probability(drawing an ace) = 4/52 = 1/13.
Probability(drawing a numbered card) = 40/52 = 10/13.
To simplify the rational expression, we are going to perform long division as you can see in the picture.
We can conclude that the quotient of the division is
(x+2) and the remainder is
6.
Given:
To find:
The value of x and measure of ∠A.
Solution:
Let C be angle the vertically opposite to ∠A.
The reference image for answer is attached below.
By vertical angle theorem:
m∠A = m∠C
m∠C = 10x + 24°
By the corresponding angle theorem:
m∠C = m∠B
Subtract 24° on both sides.
Subtract 6x from both sides.
Divide by 4 on both sides.
The value of x is 12°.
The measure of ∠A is 144°.
Answer:
Please check the explanation.
Step-by-step explanation:
As the given graph includes distance 'd' at the y-axis and time 't' at the x-axis.
so from the distance-time graph, it is clear that the graph includes 5 chunks.
The first chunk of the graph indicates that the object has started traveling. And the distance 'd' is being covered in time 't', as the slope is upward, hence the speed of the object is increasing.
- Please note that speed is basically the distance covered per unit time.
The second chunk of the graph indicates the no distance is being covered. It means the object is at rest.
The third chunk of the graph indicates that the distance 'd' is being covered in time 't', as the slope is again upward, hence the speed of the object is increasing and the object has started traveling.
The fourth chunk of the graph indicates that the slope is downward, and the object has started traveling to get back to the destination, and eventually, the object has reached the starting point.