Question 9 - (3 marks available)
1 answer:
Image of the triangle is attached
Answer:
24 cm
Step-by-step explanation:
If two triangles are similar, the corresponding sides must be in the same ratio.
From the diagram, the height of the triangle is 36cm.
But the height of triangle ABE = h,
To find the height of triangle BCD, let's subtract the height of triangle ABE from 36cm.
Therefore.
Height of BCD = 36 - h.
Since the triangles are similar and their corresponding sides have the same ratio, we have the expression:
Substituting figures, we have:
Cross multiplying, we have:
20(36-h) = 10 * h
720 - 20h = 10h
720 = 10h + 20h
720 = 30h
h = 24 cm
Therefore, the height of triangle ABE is 24cm
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Answer: Option d.
Step-by-step explanation:
1. The parent function of an absolute value function is shown below:
f(x)=|x| (This is the simplest form). Because from this function we can make transformations that allow us to obtain the function f(x) = 4|x| -3
2. If you take the parent function and make y= f(x)-3/4, then you have:
y= f(x)-3/4=|x|-3/4 (The function is shifted down 3/4 units on the y-axis).
3. Then you if you make y= 4(f(x)-3/4), as following, you obtain:
y = 4(f(x)-3/4))=4|x|-3 (The function is reflected in the y-axis).
4. That is how you obtain the final function.
Answer:
Riley did better than Darby because One-half < Three-fifths.
Step-by-step explanation:
The statement that explains which girl did better would be that
Riley did better than Darby because One-half < Three-fifths.
There are a total of 60 minutes in an hour, If we multiply each of these fractions by 60 minutes it would give us the exact number of minutes that each girl took to finish the race.
Riley: * 60 = 30 minutes
Darby: * 60 = 36 minutes
Therefore, we can see that it took Riley 6 minutes less than Darby to finish the race meaning that she had the better result.