Answer:
122
Step-by-step explanation:
The exterior angle of a triangle is the sum of the opposite interior agnles
32+90 =x
122 =x
Answer:
100(g+b)=307
Step-by-step explanation:
equation
g=307÷1000
X is 45, z is 45, and y is 90
5.40 divided by 45 = 0.12
The cafe charges 12 cents per minute.
The triangle given above is a scalene triangle as non of its given sides are equal. To determine the area of the triangle, we use the Heron's formula which is expressed as below,
A = sqrt ((s)(s - a)(s - b)(s - c))
where a, b, and c are the lengths of the sides and s is the semiperimeter ((a+b+c)/2)
The area of the triangle can also be computed through the equation, A = rs
where r is the radius of the inscribed circle. Equating both areas,
A = sqrt ((s)(s-a)(s-b)(s-c)) = rs
Divide the equation by s,
r = sqrt ((s)(s-a)(s-b)(s-c)) / s
Solving for s,
s = (12+14+16)/2 = 21
Substituting to the equation for r,
r = sqrt ((21)(21-12)(21-14)(21-16)) 21
r = sqrt 15
r = 3.87
<em>ANSWER: r = 3.87</em>
