In the diagram, the measure of angle 2 is 126°, the measure of angle 4 is (7x)°, and the measure of angle 5 is (4x + 4)°.
2 answers:
Answer:
The measure of angle 7 is 76°.
Step-by-step explanation:
If two lines intersect each other, then the alternative angles are known as vertically opposite angles.
The vertically opposite angles are always congruent.
From the given figure it is noticed that the angle 2 and 4 are vertically opposite angles.
Divide both sides by 7.
The value of x is 18.
From the given figure it is noticed that the angle 5 and 7 are vertically opposite angles.
Substitute x=18.
Therefore the measure of angle 7 is 76°.
You might be interested in
Answer:
The probability that they will teach different courses is .
Step-by-step explanation:
Sample space is a set of all possible outcomes of an experiment.
In this case we will write the sample space in the form (x, y).
Here <em>x</em> represents the course taught by the first part-time instructor and <em>y</em> represents the course taught by the second part-time instructor.
Denote every course by their first letter.
The sample space is as follows:
S = {(P, P), (P, I), (P, S), (I, P), (I, I), (I, S), (S, P), (S, I) and (S, S)}
The outcomes where the the instructors will teach different courses are:
s = {(P, I), (P, S), (I, P),(I, S), (S, P) and (S, I)}
The probability of an events <em>E</em> is the ratio of the number of favorable outcomes to the total number of outcomes.
Compute the probability that they will teach different courses as follows:
Thus, the probability that they will teach different courses is .