For number 4, we'll need a few facts to answer our question:
- Two supplementary angles add up to 180°, forming a straight angle (the angle formed by a straight line)
- The interior angles of a triangle add up to 180°
Given those, we notice that the one unlabeled angle in the figure shares a line with 156°. In fact, this angle is <em>supplementary</em> to 156°, which means that the two add up to 180°. To find the measure of this mystery angle, we can subtract 156 from 180 to obtain 180 - 156 = 24°.
Now, let's look at the triangle. We already know the measure of one of the angles is 24°, and the other two are x°. What else do we know about the angles of a triangle? From the two facts listed at the beginning, we know their interior angles add up to 180°, so let's use that fact to solve for x.
We have:

, or

Solving for x:

So, x = 78°.
For question 5, the <em>definition</em> of a pair of parallel lines is a pair of lines which <em>never intersect</em>, so "always" would be the appropriate answer.
First you need to solve for angle F then you can use 1/2acSinB. If you haven't done this you can also use the Pythagoras theorem and solve for the unknown side once you do that you can just use 1/2 b*h
Answer:
Dear student,
Answer to your query is provided below
Probability of drawing a 2 at first is (4/52) = (1/13)
Probability of drawing a face card in second try without replacement = 12/51
Step-by-step explanation:
Total no. Of cards = 52
Total no. Of cards of 2 = 4
Prob. Of drawing 2 = 4/52
Total no. Of face card = 12
Total no.of cards left in deck = 51
Prob. Of drawing face card = 12/51
4x = 14y
y = 4/14(x)
y = 2/7(x) slope = 2/7
<span>-2x+7y=14
7y = 2x + 14
y = 2/7(x) + 2 slope = 2/7
parallel lines, slope is the same
both lines have slopes equal 2/7
answer
</span><span>parallel</span>