The two quadrilaterals below are similar. What is the length of EF?
1 answer:
EF = 15 cm.
Step-by-step explanation:
Step 1:
If the quadrilaterals, ABCD and EFGH are similar their side lengths will be of the same ratio throughout.
Comparing the quadrilaterals, we have AB and EF are similar, BC and FG are similar, CD and GH are similar, DA and HE are similar.
So the ratio of all these sides will be equal.
Step 2:
Of these lengths, we only have the values for AB, BC, CD, DA, GH, HE and need to determine the length of EF. By substituting the known values the ratio becomes;
So cm. Which is the second option.
You might be interested in
Answer:
(b)
Step-by-step explanation:
When two p and q events are independent then, by definition:
P (p and q) = P (p) * P (q)
Then, if q and r are independent events then:
P(q and r) = P(q)*P(r) = 1/4*1/5
P(q and r) = 1/20
P(q and r) = 0.05
In the question that is shown in the attached image, we have two separate urns. The amount of white balls that we take in the first urn does not affect the amount of white balls we could get in the second urn. This means that both events are independent.
In the first ballot box there are 9 balls, 3 white and 6 yellow.
Then the probability of obtaining a white ball from the first ballot box is:
In the second ballot box there are 10 balls, 7 white and 3 yellow.
Then the probability of obtaining a white ball from the second ballot box is:
We want to know the probability of obtaining a white ball in both urns. This is: P( and
)
As the events are independent:
P( and
) = P (
) * P (
)
P( and
) =
P( and
) =
Finally the correct option is (b)