Answer:
m∠MNQ = 158
Step-by-step explanation:
As it can be seen in the figure:
+) The measure of arc MQ = 91 degree
+) The measure of arc RP = 225 degree
As this is the circle, four points M, Q, P and R are on the circle, so that we have:
+) m∠RMP = 1/2. measure of arc RP = 1/2 x 225 = 112.5 degree
As N is on MP
=> m∠RMN = m∠RMP = 112.5
+) m∠ MRQ = 1/2 measure of arc MQ = 1/2 x 91 = 45.5 degree
As N is on RQ
=> m∠MRN = m∠MRQ = 45.5
In the triangle RMN, the total measure of 3 internal angles is equal to 180 degree, so that:
m∠MNR + m∠RMN + m∠MRN = 180
=> m∠MNR + 112.5 + 45.5 = 180
=> m∠MNR = 180 -112.5 -45.5 = 22
As N is on QR
=> m∠MNR + m∠MNQ = 180
=> m∠MNQ = 180 - m∠MNR = 180 - 22 = 158
So that m∠MNQ = 158
Answer:
if you're using x as a multiplication sign then the answer is −
19.46 (i rounded the answer to the nearest hundredth), but it the x is a variable, there's no way to solve it.
The required simplified expression for 9(m - 9) - 4(10m + 2) is -31m - 90.
Given that,
To rewrite in simplest terms: 9(m-9)-4(10m+2).
<h3>What is simplification?</h3>
The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
Question asked to simplify the term 9(m-9)-4(10m+2).
= 9(m - 9) - 4(10m + 2)
= 9m - 81 - 40m - 8
= -31m - 90
Thus, the required simplified expression for 9(m - 9) - 4(10m + 2) is -31m - 90.
Learn more about simplification here: brainly.com/question/12501526
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Answer:
the scorce of the neww student is 72
Step-by-step explanation:
if you have a mean of 70 + 72 as the score then divide by 2 you get 71.
the answer i got is in the image below
