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kramer
4 years ago
15

In the diagram below, lines a and b are parallel and cut by transversal, t. If angle 3 is 120 degrees, find the measure of angle

7.
A: 60
B: 90
C: 120
D: 180

Mathematics
1 answer:
Vlad1618 [11]4 years ago
6 0

Lines a and b are parallel and cut by the same transversal, t. Since we know these lines are parallel, we can find the measure of angle 7 quite easily.

Angles 3 and 7 are corresponding angles, which means that the two angles are in the same relative position. Thus, they are equivalent.

Angle 3 = angle 7 = 120 degrees

The correct answer is C. 120.

Hope this helps!! :)

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find range and standard devation of the following set of data. 199,203,194,205,193,212,173 the range is___________.
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Answers:

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Refer to the graph below.

==========================================================

Explanation:

If f(x) is an even function, then f(-x) = f(x) for all x in the domain.

What this means is that we have symmetry about the y axis. We can reflect that given curve over the y axis to generate the missing left side.

The graph shows that (1,1) is on the orange curve. It reflects over to (-1,1). This means 1 goes in the first box.

Use the rule (x,y)  \to (-x,y) to apply a y axis reflection. We simply just change the sign of the x coordinate from positive to negative, while keeping the y coordinate the same.

---------------

We can also see that (3,1) is also on the orange curve. It reflects over to (-3, 1) using that rule mentioned earlier.

1 goes in the second box

---------------

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It reflects over to (-5, 3) to show that x = -5 leads to the output y = 3

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Lastly, the point (6,3) reflects to (-6,3) when reflecting over the y axis.

3 goes in the fourth box.

See the graph below.

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