Answer: 19.8 Units
Step-by-step explanation:
The triangle is shown in the attached figure, and have three vertices: , and .
Each vertice represents a point in the cartesian plane and the length of each side of the triangle is the modulus of each vector.
In this sense, the modulus is calculated as shown:
Hence, for each vector:
Now, the perimeter of a triangle is the sum of its three sides:
Finally:
<h3>
Answer:</h3>
25
<h3>
Step-by-step explanation:</h3>
The angle sum theory says that the sum of all the interior angles in a triangle is 180 degrees.
Finding X
To solve for y, we must first find x. This way we know 2 of the interior angles. Luckily, angle x is a part of a linear pair.
- Linear Pairs are 2 adjacent angles that create a straight line together. This means that the sum to 180 degrees.
Angle x and the angle with a measurement of 115 form a linear pair. Thus, we can create an equation to find x.
By subtracting 115 from both sides we know that x = 65.
Solving for Y
Now that we know x, we can find y. We know that one of the interior angles is 65 and that the other is 90 degrees. The square marking the bottom angles in the middle show that they are right angles.
- Right angles are usuaslly denoted with a square drawn in the angle and have a measurement of 90 degrees.
Lastly, we can create a formula to find y with the angle sum theory.
Combine like terms
Subtract 155 from both sides
This means that the angle y is 25 degrees.
Mark spent 11/12 of an hour doing both math and english homework
I think answer is 90•13.50=103.5 i am not quite sure about it but..