Answer:
116
Step-by-step explanation:
a line is 180 degrees so subtract 64 and you get 116, that is your angle
Given: these two lines are parrallel cut by a transversal, 4 is 64 degrees
because 4 is given we know 6 is also 64 becasue they are alternative interior angles
all straight lines measure to 180 degrees so 3 and 5 become 116 because 180-64=116 (we also know these lines are parallel becasue 4 and 5 are supplementary, they add up to 180 as well.)
becasue 5 is 116 8 needs to be 64 and becasue 8 is 64 to equal 180 7 needs to be 116 (again, they need to add up to 180 becasue they are a straight line)
Find the mean, median, and mode of the date.<br> 4, 8, 11, 6, 4, 5, 9, 10, 10,4
exis [7]
Answer:
Mean: 7.1, median: 7, mode: 4
Step-by-step explanation:
The mean, also known as the average, is equal to the sum of all the numbers divided by how many numbers there are.
4 + 8 + 11 + 6 + 4 + 5 + 9 + 10 + 10 + 4 = 71
10 numbers
71/10 = 7.1
The median is the number in the middle of the set.
4, 4, 4, 5, 6, 8, 9, 10 ,10 ,11
6 and 8 are in the middle, and the number between 6 and 8 is 7.
The mode of a set of numbers is the most common number. In this case, the number is 4 as it appears 3 times.
Answer:
x = 6
y = 45 degrees
Step-by-step explanation:
Here, we want to get the measure of x and y
For a 45-45-90 triangle, the measure of each of the internal angle asides the right angle is 45 degrees
This mean y is 45
To get x, we know we have an isosceles triangle
So the length of the third ungiven leg is x too
Mathematically, the square of the hypotenuse (side facing the right angle) is equal the sum of the squares of the two other sides
(6 √2)^2 = x^2 + x^2
72 = 2x^2
x^2 = 72/2
x^2 = 36
x = √36
x = 6
