Answer:
8xº = 90º
6xº = 67.5º
2xº = 22.5º
x = 11.25°
Step-by-step explanation:
The sum of angles in a triangle is 180°
8xº + 6xº + 2xº = 180º
16xº = 180º
x = 11.25º
8xº = 11.25(8) = 90º
6xº = 67.5º
2xº = 22.5º
Hope this helps :)
Hey there! :)
In order to the find the missing side length of this triangle, we'll need to use the Pythagorean Theorem!
That equation is : a² + b² = c²
a = adjacent side
b = long side of rectangle
c = hypotenuse
We're already given the values of both a & c, so let's plug everything in!
a² + b² = c² → a = 10 , b = ? , c = 20
(10²) + b² = (20²)
Simplify.
100 + b² = 400
Subtract 100 from both sides.
b² = 400 - 100
Simplify.
b² = 300
Get the square root of b² & 300.

Simplify!
b = 17.3
So, the missing side length is the first answer choice : 17.3~Hope I helped!~
Answer:
It is A and I am positive its A
Step-by-step explanation:
Answer:
468 ways
Step-by-step explanation:
Given: A catering service offers 5 appetizers, 4 main courses, and 8 desserts
To find: number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts.
Solution:
A permutation is an arrangement of elements such that order of elements matters and repetition is not allowed.
Number of appetizers = 5
Number of main courses = 4
Number of desserts = 8
Number of ways of choosing k terms from n terms = 
Number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts = 

So, this can be done in 468 ways.