Answer:
<em>The measures of angles A, B, and C are respectively 21°, 125°, and 34°</em>
Step-by-step explanation:
<u>Equations</u>
We are given some conditions applying to the internal angles on a triangle ABC.
The measure of angle A is 13 less than the measure of angle C.
The measure of angle B is 11 less than 4 times the measure of angle C
Let x = measure of angle C
The first conditions states:
The second conditions states:
The sum of all angles must be 180°, thus:
Simplifying:
6x -24 = 180
Adding 24:
6x = 204
Dividing by 6:
x = 204/6
x = 34
The measures of angles A, B, and C are respectively 21°, 125°, and 34°
The answer is 78
Explanation:
65 / 5 = 13
(13 = 1/6)
13*6 = 78
The present worth of the loan is <span>$6,250
</span>The start of payment will after 4 years
The nominal interest rate is 6.1% compounded monthly which is equal to 6.27% effective.
The future worth (after graduation) of the loan is
F = <span>$6,250 (1 + 0.0627)^4 = $7,971.18
The interest is
</span>$7,971.18 - $6,250 = $1,721.18
I didn't round off when solving these so it's not the exact answer among the choices but the closest is letter B <span>$1,722.22</span>
12 girls out of 30 were selected, so the ratio "selected:tried" if 12/30. This fraction can be simplified into
Similarly, 16 boys out of 40 were selected, so the ratio "selected:tried" if 16/40. This fraction can be simplified into
So yes, the ratio of the number of students on the team to the number of students trying out the same for both boys and girls
