The measure of the unknown angle are; a) x = 89 degrees, b) p = 92 degrees.
<h3>What is the sum of all the angles of a regular polygon?</h3>
For a regular polygon of any number of sides, the sum of its exterior angle is 360°.
We already know that a 4-sided polygon's angles add up to 360 degrees.
So to find the value of x:
69 + 118 + 84 + x = 360
x = 360 - (69 + 118 + 84)
x = 89 degrees
b)
For a 4-sided polygon, we also know that the outside angles add up to 360 degrees.
So to find the value of p:
100 + 62 + 106 + p = 360
p = 360 - (100 + 62 + 106)
p = 92 degrees
Learn more about interior angles of a regular polygon here:
brainly.com/question/14173422
#SPJ1
The Roman Numeral, as far as we know, was the only written numbering system used in Ancient Rome andEurope until about 900 AD, when the Arabic Numbering System, which was originated by the Hindu's, came into use.
Step-by-step explanation:
We have been given that David, Egil and Frances share money in the ratio 2:7:9.
Let 2x, 7x and 9x be the amounts of money that David, Agil and Frances get respectively.
We are told that Frances gets $80 more than David. So we can write this information in an equation as:
![9x=2x+80](https://tex.z-dn.net/?f=9x%3D2x%2B80)
Now let us solve for x.
![9x-2x=80](https://tex.z-dn.net/?f=9x-2x%3D80)
![7x=80](https://tex.z-dn.net/?f=7x%3D80)
Now let us substitute
in 7x (amount of money that Egil gets).
![\text{ Amount of money that Egil will get}=7\cdot \frac{80}{7}](https://tex.z-dn.net/?f=%5Ctext%7B%20Amount%20of%20money%20that%20Egil%20will%20get%7D%3D7%5Ccdot%20%5Cfrac%7B80%7D%7B7%7D)
Upon cancelling out 7 from numerator and denominator we will get,
Therefore, Egil will get $80.
Answer:
A. b2 – 4ac = 0
Step-by-step explanation:
Hey user☺☺
Option a is correct
Because the graph has only one solution.
As the graph touches the x-axis at one point that means that it will have only one solution for x. But we know that a quadratic equation has two solutions. So the graph will have two equal solution and therefore the discriminant will be 0.
Hope this will help☺☺