The values of x, y, and z of the parallelogram are -19°, -115° and 27°
<h3>What is a parallelogram?</h3>
A parallelogram is a two-dimensional geometrical shape whose sides are parallel to each other. It is a type of polygon having four sides (also called quadrilateral), where the pair of parallel sides are equal in length. The Sum of adjacent angles of a parallelogram is equal to 180 degrees.
for a parallelogram opposite angles are equal
-4x -1 = 75
-4x = 76
x = 76/-4
x = -19°
sum of adjacent angles are supplementary
(-y-10) + 75 = 180
-y + 65 = 180
-y = 180 - 65
-y = 115
y = -115°
Also
4z - 3 + 75 = 180
4z + 72 = 180
4z = 180 - 72
4z = 108
z = 108/4
z = 27°
In conclusion, the values of x = -19, y = -115, z = 27
Learn more about Parallelogram: brainly.com/question/20526916
#SPJ1
A)=14 meters because 3.5 times 4 is 14
b)=4 meters because circles don't have any sides
c)=a would give her more space to plant because 14 is bigger than 4
Answer:
1/8
Step-by-step explanation:
To simplify the expression √3/√8, we can first simplify the square root terms by finding the prime factorization of each number under the square root. The prime factorization of 3 is 3, and the prime factorization of 8 is 2 * 2 * 2.
We can then rewrite the square root terms as follows:
√3/√8 = √(3) / √(2 * 2 * 2)
Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:
√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)
Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:
√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2
Finally, we can use the rules of division to simplify the expression even further:
√(3) / 2 / 2 / 2 = √(3) / (2 * 2 * 2)
Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:
√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8
Therefore, the simplified form of the expression √3/√8 is 1/8.
