The Triangle Sum Theorem states that the sum of the angles of a triangle equal 180°.
Therefore,
45° + 62° + k = 180
107° + k = 180
k = 73°
The value of k is 73°
Answer:
9 students on the committee are males
Step-by-step explanation:
As per the statement:
There are 15 students on a yearbook committee.
⇒Total students on a yearbook committee = 15
⇒
....[1]
It is given that:
40% of the students are females
⇒
Substitute in [1] we have;

Subtract 6 from both sides we have;

Therefore, 9 students on the committee are males
The best interpretation of 2 in the given context is that; 2 represents the total length of fabric in yards purchased when no costumes were made.
<h3>Slope Intercept Form</h3>
We are given the relationship between the number of costumes that Kai made, x, and the total length of fabric that he purchased y, in yards as; y - 5x = 2
Where;
- x is number of costumes made
- y is total length of fabrics purchased.
Now, the general slope intercept form of an equation is given by; y = mx + c
Where c is the y-intercept which is the point where x is zero.
Thus, our equation can be rewritten as;
y = 5x + 2
Comparing with y = mx + c, we can say that c = 2
This means that at x = 0, y = 2.
In conclusion, the value 2 represents the length of yards purchased when no costumes were made.
Read more about slope-intercept form at;brainly.com/question/1884491