The correct answer is 14/15.
The orientation of the figure has been changed by 90°, but the points are not all rotated around the same center. Translation is involved.
Translation before rotation:
.. translate down 5 units
.. rotate counterclockwise 90° about the origin
Translation after rotation:
.. rotate counterclockwise 90° about the origin
.. translate right 5 units
This can also be accomplished by a double reflection.
.. reflect across the line y=x
.. reflect across the line x=2.5
Or,
.. reflect across the line y=2.5
.. reflect across the line y=x
The numbers that go into 120 are 10,12 and 6,20 and 3,40,. That's all I can think of at the moment.
Answer:
21.4
Step-by-step explanation:
We can solve for x using trigonometry
Here are the <u>Trigonometric Ratios</u>
Remember SOH CAH TOA
Sine = Opposite over Hypotenuse (SOH)
Cosine = Adjacent over Hypotenuse
Tangent = Opposite over Adjacent
We are given the measure of ∠T ( 72° )
We are also given the adjacent side length (6.6) ( Adjacent = the side length that is not the hypotenuse nor the opposite side length )
And we need to find the hypotenuse ( longest side length )
We this information we can use the trigonometric ratio Cosine to solve for x
That being said we want to set up an equation
(remember cosine = adjacent over hypotenuse )
Now we solve for x
We can't get rid of the 6.6 itself so we want to multiply each side by x
now we have 
Step 2 divide each side by cos(72)
We're left with x = 21.35804865
Finally we want to round to the nearest tenth of a foot and we get that x = 21.4
The missing number in the given data that has a mean of 79 is: 60.
<h3>How to Find the mean of a Data?</h3>
The mean of a data set is simply the average, that is, it is the sum of all data values divided by the number of data values.
Let x represent the missing number in the data. If the mean is 79, we would have the following:
(89 + 74 + 92 + 80 + x)/5 = 79
(335 + x)/5 = 79
335 + x = 5(79)
335 + x = 395
x = 395 - 335
x = 60
Missing number is: 60.
Learn more about about the mean of a data on:
brainly.com/question/11015069
#SPJ1
