Circle Q is shown. Secant L N and tangent P N intersect at point N outside of the circle. Secant L N intersects the circle at po
int M. Arc M P is y, arc L P is x, and arc M L is z.
Which equation is correct regarding the measure of ∠MNP?
m∠MNP = One-half(x – y)
m∠MNP = One-half(x + y)
m∠MNP = One-half(z + y)
m∠MNP = One-half(z – y)
Which equation is correct regarding the measure of ∠MNP?
m∠MNP = One-half(x – y)
m∠MNP = One-half(x + y)
m∠MNP = One-half(z + y)
m∠MNP = One-half(z – y)
2 answers:
Answer: FIRST OPTION.
Step-by-step explanation:
By definition, the "Angle formed by a Tangent and a Secant" is:
In this case you can identify in the figure that the Intercepted Arcs are:
and
And the Angle formed by the tangent and the secant is:
Therefore, the following equation can be used to calculate the measure of the angle ∠MNP:
This matches with the First option.
You might be interested in
Answer:
The remaining volunteers would get 11 flyers each.
Step-by-step explanation:
Given:
Total number of flyers = 75
Total number of volunteers = 5
Number of flyers for 1 volunteer = 15 flyers.
Number of flyers to 2nd volunteer = 22 flyers.
number of flyers to 3 volunteer = 16 flyers.
We need to find the remaining number of which are equally distributed in remaining number of volunteers.
Solution:
First we will find the number of flyers already distributed.
number of flyers already distributed is equal to sum of Number of flyers for 1 volunteer, Number of flyers for 2 volunteer and Number of flyers for 3 volunteer.
framing in equation form;
number of flyers already distributed =
Number f flyers remaining is equal to Total number of flyers minus number of flyers already distributed.
Number of flyers remaining =
Number of volunteers remaining =2
Now we will find number of flyers remaining each volunteers would get.
number of flyers remaining each volunteers would get is equal to Number of flyers remaining divided by Number of volunteers remaining.
framing in equation form we get;
number of flyers remaining each volunteers would get =
Hence the remaining volunteers would get 11 flyers each.
Step-by-step explanation:
That is what your line should look like :)
