Answer:
Correct option is D. No, since the ratios of the corresponding sides are not proportional.
Step-by-step explanation:
Please refer to the attached figure
Let height of coach represents by AB = 6 feet
And shadow of coach represents by BC = 4 feet
Let height of goal post represents by DE = x feet
And Shadow of goal post represents by EF = 12 feet.
Since measurement of shadows are at same time. therefore ratio of height of coach and height of goal post must be same as ratio of shadow of coach and shadow of goal post.
⇒ 6/x = 4/12
⇒x = 72/4 = 18 feet
So goal post is not at regular height , since expected height is 20 feet while actual height is 18 feet . And if we consider value of x as 20 feet instead of 18 feet , ratio of corresponding sides will not match.
Hence correct answer is D. No, since the ratios of the corresponding sides are not proportional.
Answer. 0.28, 1/2, 0.58
Explanation. If you convert all the numbers to decimal form, we find that this is their position from least to greatest. Hope this helps, let me know if it is correct so others can use it as well :)
Good luck.
Answer:
x = -5
Step-by-step explanation:
Since these two triangles are similar, the ratio between the corresponding lengths of each triangle will be the same.
This means the ratio between one side of each triangle (e.g. AD and DC) will be the same as the ratio between a different side of each triangle (e.g. BE and BC).
So, to create an equation for the sides which contain the unknown 'x', we must first find the ratio between the two sides by using a different set of sides.
On the right side we are given 9 for AD, and 18 for DC.
9/18 = 0.5
This means that the extra length of the larger triangle from the smaller one (AD) is half the length of the smaller triangle (DC). We can use this to make an equation for x:
If AD/DC = 0.5, then BE/EC will also = 0.5
BE = x+23
EC = x+41
Therefore:
Now we can solve by multiplying both sides by x+41 to eliminate the fraction:
Now we multiply out the brackets and move the terms to different sides:
And if we substitute the -5 into the equations:
-5+23 = 18
-5 + 41 = 36
We will see that -5 does indeed give us the same ratio between the lengths:
18/36 = 0.5
Hope this helped!
Answer:
<h3>D. 12</h3>
Step-by-step explanation:
Which number could be the missing number?
Given the inequality expression, 1/10 > 1/ ?
We are to fine the missing number that will make the inequality true;
Cross multiply:
1 * x > 1*10
x > 10
Hence the value of x greater than 10 is the answer. From the options, the only value greater than 10 is 12. Hence 12 is the correct answer.
Answer:
Step-by-step explanation:
Look for the GCF and then divide every term by the GCF to see what remains
(9) 5a - 25 ( GCF is 5 so take out 5 and divide every term by 5)
5(a-5)
(10) 28 - 7x ( GCF is 7 so take out 7 and divide every term by 7)
7(4-x)
(11) 12z + 28 - 7z - 3= (combine terms) =
5x+25( GCF is 5 so take out 5 and divide every term by 5)
5(x+5)
