Problem Page Question An urn contains black and pink balls. Four balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all balls drawn from the urn are pink? Round your answer to three decimal places.
The figure below shows a parallelogram PQRS:
A parallelogram PQRS is shown with the diagonal SQ.
The flowchart shown below shows the sequence of steps to prove the theorem: Opposite angles of a parallelogram are equal:
Which is the missing statement?
Answer - Triangle PQS is congruent to triangle RSQ
Answer: 120
Step-by-step explanation:
20 divided by 20 is 1.
We have to multiply this by 120.
120 x 1 = 120. It is the answer.
<h3>
Answer: 5.5 which is choice B</h3>
Have a look at the diagram I posted below. I marked on your image to add in another angle. This angle is also 20 degrees because of congruent alternate interior angles (horizontal lines are parallel). This angle I add in is the reference angle of the triangle
opposite the reference angle is the vertical side x
adjacent to the reference angle is the horizontal side 15
We'll use the tangent rule. Make sure your calculator is in degree mode.
tan(angle) = opposite/adjacent
tan(20) = x/15
15*tan(20) = x <<-- multiply both sides by 15
x = 15*tan(20)
x = 5.45955 <<--- use calculator; this is approximate
x = 5.5 <<--- round to one decimal place
Answer:
2/5
Step-by-step explanation:
3/5 / 2/3
3/5 ÷ 2/3
Convert ÷ sign into multiplication, that will turn 2/3 into 3/2
3/5 X 2/3
Divide by 3
3/5 by 3
1/5
2/3 by 3
2/1
1/5 X 2/1
2/5