Because this is 4 sided, it is 360°(in total)
The shape is parallel on 2 sides(shown by the red arrows), so (5x)° = 90°
5x = 90
x = 18°
You can add all the angles together and set it equal to 360°
90° + (5x)° + (5(y+11))° + (4y-10)° = 360°
Since you know 5x is 90°, you can plug it in
90° + 90° + (5(y+11))° + (4y-10)° = 360°
180° + (5(y+11))° + (4y-10)° = 360° Subtract 180° on both sides
(5(y+11))° + (4y-10)° = 180°
5y + 55° + 4y - 10° = 180°
9y + 45° = 180°
9y = 135°
y = 15°
x = 18°, y = 15°
Answer:
60 different ways.
Step-by-step explanation:
We have been given that you have 5 reindeer, Bloopin, Rudy, Ezekiel, Prancer, and Balthazar, and you want to have 3 fly your sleigh. You always have your reindeer fly in a single-file line. We are asked to find the number of ways in which we can arrange reindeer.
We will use permutations to solve our given problem.
The number of way to choose r objects from a set of n objects is
.
Upon substituting our given values in permutations formula, we will get:





Therefore, you can arrange your reindeer in 60 different ways.
Answer:
Area: 9 in.²
Step-by-step explanation:
Area of square: side²
=> Area of Square tile: 3²
=> 9 in.²
Hoped this helped.