For number 16
2x+6+x=180
3x+6=180
3x=180-6
3x=174
x=58
2(58)+6 =122
Linear pairs are 180 degree angles
Angle 1 = 58
Angle 2 = 122
Triangle is attached below
The triangle is 12 by 10 by 8
Perimeter:
To find perimeter we add all the sides of the triangle
Perimeter P = 12 + 10 + 8 = 30 units
Semi perimeter:
Semi perimeter is half of its perimeter
We know P = 30
Semi perimeter s=
=
= 15 units
Area:
If we know the sides of the triangle then we use Heron's formula to find the area of the triangle
![A = \sqrt{s(s-a)(s-b)(s-c)}](https://tex.z-dn.net/?f=%20A%20%3D%20%5Csqrt%7Bs%28s-a%29%28s-b%29%28s-c%29%7D%20%20)
Where s= semi perimeter
a,b,c are the sides of the triangle
s= 15 units
a= 12 units
b= 10 units
c= 8 units
![A = \sqrt{15(15-12)(15-10)(15-8)}](https://tex.z-dn.net/?f=%20A%20%3D%20%5Csqrt%7B15%2815-12%29%2815-10%29%2815-8%29%7D%20%20)
![A= \sqrt{15(3)(5)(7)}](https://tex.z-dn.net/?f=%20A%3D%20%5Csqrt%7B15%283%29%285%29%287%29%7D%20%20)
![A= \sqrt{15 * 105}](https://tex.z-dn.net/?f=%20A%3D%20%5Csqrt%7B15%20%2A%20105%7D%20%20)
![A= \sqrt{1575}](https://tex.z-dn.net/?f=%20A%3D%20%5Csqrt%7B1575%7D%20%20)
A= 39.7 square units
Answer:
{y,x}={
3
11
,
3
19
}
Step-by-step explanation:
Answer:
a is the answer
Step-by-step explanation:
all work is shown and pictured
Yes, because the sum of $580 and $140 is greater than $640 - Apex