Answer:
C) One solution:
Step-by-step explanation:
Hope this helps!
There are 48 DVDs of comedies and dramas on the shelf. If 25% of the DVDs are comedies, how many are dramas?
1 answer:
There are 36 drama DVD's
<em><u>Solution:</u></em>
Given that there are 48 DVD's of comedies and dramas on shelf
25 % of DVD's are comedies
To find: number of drama DVD's
Total number of dvd = 48
Number of comedy dvd = 25 % of 48
Let us find 25 % of 48
Thus, number of comedy dvd = 12
Thus we get,
number of drama DVD's = Total number of dvd - number of comedy dvd
number of drama dvd = 48 - 12 = 36
Thus there are 36 drama dvd's
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Answer:
£714.00
Step-by-step explanation:
The first step is to set up expresssions for the two shares:
Let x = the amount of one share. The other share is 1785 - x. <u>You don't have to worry about which is smaller--that part will work out automatically</u>!
The two shares are in the ratio of 2:3, so set up the proportion
Again, you don't have to worry--you could set up the proportion "upside down" and everything will work out in the end.
Solve the proportion for x by "cross multiplying" -- use the Means-Extremes Property of proportions.
So one share is £714£ and the other is £1785 - £714 = £1071.
The smaller share is £714.
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Answer:
i. ΔAXC ~ ΔCXB
ii. ΔBCX Is-congruent-to ΔACX
Step-by-step explanation:
From the given ΔABC, CX is the altitude of ΔABC; and also an angle bisector of <ACB.
So that:
m<AXC = m<BXC (right angle property)
m<ACX = m<BCX (congruent property)
m<ACX + m<AXC + m<CAX = (sum of angles in a triangle)
m<BCX + m<BXC + m<CBX = (sum of angles in a triangle)
Therefore, from the figure it can be deduced that;
i. ΔAXC ~ ΔCXB (Angle-Angle-Side, AAS, property)
ii. ΔBCX Is-congruent-to ΔACX (Angle-Angle-Side, AAS, property)