15.75=5(1+i)^2
3.15=1+i^2
2.15=i^2
i= √2.15 or approximately 1.47
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:
HERE IS YOUR ANSWER IN PICTURE.
Answer:
9 and 5.
Step-by-step explanation:
So we have the expression:

In order to combine like terms, the variables must be <em>exactly</em> the same: not one less, not one more.
3x²y and 2x² <em>cannot</em> be combined because the first value has a y.
7x², 3x²y, and 2x² also <em>cannot </em>be combined because the second value has a y.
9 and 5 is the only one that can be combined because they are just integers. They can be added to be 14.
2, 3, 5, and 9 <em>cannot</em> be combined because the 2 and the 3 are tied to the variables as coefficients. They are not constants.