Answer:
Vertical angles are always congruent.
Step-by-step explanation:
Vertical angles are formed when two straight lines intersect each other, thereby forming two pairs of opposite angles, which are called vertical angles. Thus, a pair of these vertical angles formed are congruent to each other. So therefore, if two angles are said to be vertical angles, it follows that they are congruent to each other.
Using the diagram attached below, we can see two straight lines intersecting each other to form two pairs of vertical angles:
<a and <b,
<c and <d.
Thus, <a is congruent to <b, and <c is congruent to <d.
Therefore, the standby that is true about vertical angles is that:
Vertical angles are always congruent.
Answer:
Step-by-step explanation:
Question 2
As far as I can see, you got it right. The general transformation for 90 ccw is
(x,y) ===> (-y, x)
What that means is for the x you put in -y changing the sign to the opposite and for the y you put in x and this time you leave the sign alone . The transformation is shown in the left hand diagram.
The two tables are shown below.
Original
The transformed table is
- (-4,1)
- (-2,1)
- (-2,3)
- (-5,3)
- (-4,1) This is just to let the program know to close the figure For some reason this did not have lines and if I delete it and put the lines in, I won't be able to upload the new diagram.
===========
Four
This one transforms from (x,y) to (-x,-y) which means where you see an x, you put a - x and where you see a y, you put a minus y. It is the middle frame.
Original
- (-4,3)
- (0,3)
- (-2,0)
- (-4,3) Here again, this is just to close the figure.
The transformed figure in red I think is
- (4,-3)
- (0,-3
- (2,0)
- (4,-3) And this closes the figure as well.
==========
Six
The diagram is on the right
Reflection about the y axis. Here the transformation is (x,y) ====> (-x,y) notice the ys don't change.
There is no closure.
Reflection
Answer:
Step-by-step explanation:
So we have the expression:
And we want to evaluate it for x=-2.
So, substitute -2 for x:
Multiply:
Subtract:
The absolute value of a negative is positive. So:
And we're done!
<h3>Least Significant Digit Place (LSD)</h3>
The Least Significant Digit Place, or LSD, is the digit with the least value in a string of numbers.
In 0.1030, there are 4 different significant places. 0.<u>1030</u>
For 0.1030, the least valuable digit place is the 0.103<u>0</u>. This is because this numeral appears at the end of the string, and is the least valuable.
The probability that a class attendee is a non-member of the gym and is attending a barre class or is a member of the gym and is attending a boot camp class is 0.009.
<h3>What is the probability?</h3>
Probability refers to a possibility that deals with the occurrence of random events.
The marketing team has gathered data from a random month, in which there were 2039 class attendees.
The probability that a class attendee is a non-member of the gym and is attending a barre class
= 185/2039
= 0.09
The probability that a class attendee is a member of the gym and is attending a boot camp class
= 204/2039
= 0.10004
The probability for both the event would be
= 0.09 x 0.10004
= 0.009
Learn more about probability here;
brainly.com/question/11234923
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