The value of the variable x will be 37°. Then the measure of the angle ∠QNP will be 105°.
<h3>What is an angle?</h3>
The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The measure of angles ∠MNQ = (2x + 1)° and ∠QNP = (3x - 6)°.
Then the value of x will be
We know that the angles ∠MNQ and ∠QNP are supplementary angles. Then the value of the variable x will be
∠MNQ + ∠QNP = 180°
(2x + 1)° + (3x - 6)° = 180°
5x - 5° = 180°
5x = 185°
x = 37°
Then the measure of the angle ∠QNP will be
∠QNP = [3(37) - 6]°
∠QNP = 111° - 6°
∠QNP = 105°
The value of the variable x will be 37°. Then the measure of the angle ∠QNP will be 105°.
More about the angled link is given below.
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Answer:
-23 degree
Step-by-step explanation:
=>-14-5-3-1
=>-23
Answer:
5 and 6
Step-by-step explanation:
We know that the square root of 36 is 6, so the square root of 35 must be between 5 and 6 as it is not a perfect square.
Answer:
Avicenna can expect to lose money from offering these policies. In the long run, they should expect to lose ___33__ dollars on each policy sold
Step-by-step explanation:
Given :
The amount the company Avicenna must pay to the shareholder if the person die before 70 years = $ 26,500
The value of each policy = $497
It is given that there is a 2% chance that people will die before 70 years and 98% chance that people will live till the age 70.
The expected policy to be sold= policy nominal + chances of death
= 497 + [98% (no pay) + 2% (pay)]
= 497 + [98%(0) + 2%(-26500)]
(The negative sign shows that money goes out of the company)
= 497 - 2% (26500)
= 497 - 530
=33
Therefore the company loses 33 dollar on each policy sold in the long run.
Answer:
Read below.
Step-by-step explanation:
a) 100%
Picking a green marble out of a bag of all green marbles.
In this, you would pick a green marble no matter what since the bag only contains green marbles.
b) 1/2
Flipping a fair coin and landing heads.
On a fair coin, there are 2 possibilities, head or tails. Since this is fair, there is a 50% chance you would get heads or tails.
c) 1:6
Rolling a 2 on a fair 1-6 sided die.
On this fair die, there are 6 possibilities, 1, 2, 3, 4, 5, or 6. Since this is a fair die, there is 1:6 chance you would roll a 2.
d) 0
Picking a red marble out of a bag of all green marbles.
This probability would be 0 since there are no red marbles in our bag of only green marbles.
