The measure of <1 = 20x + 21 and the measure of <2 = 30x - 29.

Mathematics

1 answer:

geniusboy [140]3 years ago

8 0

Answer:

Both equal 121 degrees

Step-by-step explanation:

Vertical angles are equal, and and 2 are indeed vertical angles. They are the "top" and "bottom" of the x formed. So you can use this.

angle 1 = angle 2

20x + 21 = 30x - 29

50 = 10x

5 = x

So just plug this in.

20x + 21

20(5) + 21

121

30x - 29

30(5) - 29

121

So both are 121.

You might be interested in

From a deck of five cards numbered 2, 4, 6, 8, and 10, respectively, a card is drawn at random and replaced. this is done three

Serga [27]

Since the sum of the numbers on the three draws is 12, if we want the card numbered 2 to be drawn exactly two times, the third card can only be numbered 8. In fact, $2+2+8 = 12$ , and there are no other possibilities, unless you consider the various permutations of the terms.

So, we have three favourable cases: we can draw 2,2,8, or 2,8,2, or 8,2,2. This are the only three cases where the card numbered 2 is drawn exactly two times, and the sum of the number on the three draws is 12.

Now, the question is: we have three favourable cases over how many? Well, we have 5 possible outcomes with each draws, and the three draws are identical, because we replace the card we draw every time.

So, we have 5 possible outcomes for the first draw, 5 for the second and 5 for the third. This leads to a total of $5 \times 5 \times 5 = 5^3 = 125$ possible triplets.