Answer:
o = 54
Step-by-step explanation:
The angle sum theorem tells you the sum of angles in a triangle is 180°. The definition of a linear pair tells you the two angles of a linear pair total 180°. Together, these relations tell you that an exterior angle of a triangle is equal to the sum of the remote interior angles.
In this geometry, the angle marked 78° is exterior to the left-side triangle. That means ...
78° = o° +24°
o° = 78° -24° = 54°
The value of 'o' is 54.
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<em>Additional comment</em>
n° is the supplement of 78°, so is 102°.
m° is the difference between 102° and 22°, so is 80°.
You have to check f(1) in each one to see if it's right and for f(4)
3/x<span>÷5=1/10
3</span><span>÷5=1/10*x
6/10=1/10*x
6=x</span>
<h2>
Answer:</h2><h2>
The probability that the student is taking Calculus or French = ![\frac{12}{25}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B25%7D)
</h2>
Step-by-step explanation:
The total number of students = 100
Let A represents calculus and B represents French
The no of students taking calculus = 32
The no of students taking French = 29
The no of students taking calculus and french = 13
the probability that the student is taking Calculus or French = ?
P (AUB) = P(A) + P(B) - P(A∩B)
=
+
- ![\frac{13}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B100%7D)
= ![\frac{48}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B48%7D%7B100%7D)
Reducing to lowest fraction, it becomes ![\frac{12}{25}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B25%7D)
The probability that the student is taking Calculus or French = ![\frac{12}{25}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B25%7D)