To find the length of the sides of this parallelogram, we just have to calculate the length of each side and then proceed to find the perimeter.
The perimeter of the parallelogram is 13 units.
<h3>Perimeter of a Parallelogram</h3>
To calculate the perimeter of a parallelogram, we need the values of the length of the sides. However, if we have the details of two opposite sides, we can find the perimeter of the parallelogram because opposite sides are equal.
The perimeter of MNOP can be calculated as
We can substitute the values into the equation and solve
The perimeter of the parallelogram is 13 units.
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Answer:
√161 yd
Step-by-step explanation:
Hi there!
We're given a right triangle (notice the right angle), the measure of one of the legs (one of the sides that make up the right angle) as 8 yd, and the hypotenuse (the side opposite to the right angle) as 15 yd.
We need to find x, which is the other leg in the triangle
If we are given 2 sides and need to find a third, we can use Pythagorean Theorem, which states that a²+b²=c² if a and b are legs and c is the hypotenuse
In this case, a=8, b=x, and c=15
So let's substitute those values into the formula
(8)²+x²=(15)²
raise everything to the second power
64+x²=225
subtract 64 from both sides
x²=161
take the square root of both x and 161
x=√161, x=-√161
-√161 cannot work in this case, as distance cannot be negative.
The question asks for the answer to be in simplified radical form, but √161 cannot be simplified down further
so the answer is <u>√161 yd</u>
Hope this helps! :)
Answer:
Remove 1 x-tile from both sides.
Remove 3 unit tiles from both sides.
Step-by-step explanation:
2x + 3 = x + 5
First we want all the variables on one side
Subtract x from each side so Remove 1 x-tile from both sides.
x+3 = 5
Now we need to get all the constants on the same side
Subtract 3 from each side so Remove 3 unit tiles from both sides.
x = 5-3
x=2
There are so many types of angles, let's see what we've got here!
--(5x - 17) and 48 are alternate interior angles, which means that they are congruent.
--(5x - 17) and y are supplementary angles.
--48 and y are same-side interior angles, which means that they are also supplementary.
Let's solve for x first.
5x - 17 = 48
5x = 65
x = 13
Now, let's solve for y.
48 + y = 180
y = 132
Hope this helps!! :)
