in a choir the ratio of men to woman is 4:7. 25% of the men prefer classical songs, and 80% of the women prefer classical songs.
1 answer:
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Answer:
We conclude that
- The angle ∠1 = x = 36°
- The angle ∠2 = 4x = 4(36°) = 144°
Step-by-step explanation:
Given
<1 and <2 form a linear pair
m∠1 = 4m∠2
To determine
Find the measure of each of the two angles.
<u>Important Points about linear pair:</u>
- We know that when two lines meet or intersect, we get a linear pair of angles.
- Linear pairs are basically two adjacent angles that form a line.
- The measure of two adjacent angles forming a straight line is 180, meaning they are supplementary.
As
<1 and <2 form a linear pair
m∠1 = 4m∠2
In other words, angle 1 is 4 times the measure of angle ∠2.
Let the angle ∠1 be = x
As the angle 1 is 4 times the measure of angle ∠2, so
The angle 2 will be = 4x
As <1 and <2 forms a linear pair, thus the measure of the sum of <1 and <2 will be 180°, so
divide both sides by 5
Thus, we conclude that
- The angle ∠1 = x = 36°
- The angle ∠2 = 4x = 4(36°) = 144°
<u>Answer:</u>
The simple interest for $152, 2.5%, 18 month is $5.7
<u>Solution:</u>
Given that, principal amount = $ 152, interest rate = 2.5 % and time period = 18 months.
Now we have to calculate the simple interest for above given values.
We know that, simple interest is given as
By substituting the given values, we get
By converting 18 months to years we get,
Hence, the simple interest is $5.7