Answer:
z = 70°
y = 103°
Step-by-step explanation:
From the picture attached,
110° + z° = 180° [Supplementary angles]
z = 180 - 110
z = 70°
Since sum of interior angles of a polygon = (n - 2)×180°
where n = number of sides of the polygon
For a quadrilateral (n = 4),
Sum of interior angles = (4 - 2) × 180°
= 360°
z° + y° + 100° + 87° = 360°
70° + y° + 187° = 360°
y = 103°
Therefore, measure of the angles x = 70° and y = 103°.
Answer:
150
Step-by-step explanation:
I think that correct answer is 150
Answer:
The correct option is D.
Step-by-step explanation:
Let <em>x</em> denote the years.
The information provided is:
- The population of Metro City is 7420.
- The population is decreasing by 152 people per year.
- The population of Smallville is consistently 1200 less than half of Metro City.
From the provided data derive the equation for the population of Smallville <em>x</em> years after as follows:
![Y = [\frac{1}{2}\cdot (7420-152x)]-1200](https://tex.z-dn.net/?f=Y%20%3D%20%5B%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%287420-152x%29%5D-1200)
The population of Smallville is 2282 after <em>x</em> years.
Compute the value of <em>x</em> as follows:
![2282= [\frac{1}{2}\cdot (7420-152x)]-1200](https://tex.z-dn.net/?f=2282%3D%20%5B%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%287420-152x%29%5D-1200)

Thus, the time it will take for Smallville's population to reach 2282 is 3 years.
The correct option is D.
Answer:
c = 3 c = -1/2
Step-by-step explanation:
(4c-5)^2= 49
Take the square root of each side
sqrt((4c-5)^2)= ±qrt(49)
4c-5 = ±7
Separate into two equations
4c-5 = 7 4c-5 = -7
Add 5 to each side
4c-5+5 = 7+5 4c-5+5 =-7+5
4c =12 4c = -2
Divide by 4
4c/4 = 12/4 4c/4 = -2/4
c = 3 c = -1/2
Answer:
Tauren has 78 keychains
James has 34 keychains
Marcus has 68 keychains
Yahya has 74 keychains
Step-by-step explanation:
I got this answer by doing this:
If Tauren has 78 keychains then its gonna be left like that.
If everybody else has an average of 68 keychains then divide 68 by 2 to get half of what marcus has which equals 34.
Then add the amount of James and marcus keychains which is 68 plus 34 which equals 102, the subtract the 28 because it says Yayha has 28 fewer keychains and that equals 74.