The sum of interior angles of any polygon is:
s=180(n-2)
Since we are dealing with a triangle:
s=180(3-2)
s=180°
That is, the sum of angles of any triangle is 180°.
In this case we are given two angles with measures of 32° and 102° so
a+b+c=180
32+b+102=180 combine like terms on left
b+134=180 subtract 134 from both sides
b=46°
<u>Given</u>:
Given that the regular decagon has sides that are 8 cm long.
We need to determine the area of the regular decagon.
<u>Area of the regular decagon:</u>
The area of the regular decagon can be determined using the formula,

where s is the length of the side and n is the number of sides.
Substituting s = 8 and n = 10, we get;

Simplifying, we get;




Rounding off to the nearest whole number, we get;

Thus, the area of the regular decagon is 642 cm²
Hence, Option B is the correct answer.
Answer:
-4
Step-by-step explanation:
Given function
f(x) = -2x² + 3x - 4
Comparing with ax² + bx + c We get
c = - 4
Hope it will help :)❤
A.23/6
b.23/8
c.26/5
d.64/9
Answer:

Step-by-step explanation:
In probability, "AND" means "multiplication" and
"OR" means "addition".
We want the probability that she picks FAVORITE SHIRT "AND" FAVORITE PANT.
Probability that she picks favorite shirt = 3/5
Probability that she picks favorite pants = 2/4 = 1/2
Since, "AND", we "multiply" both to get:
3/5 * 1/2 = 3/10