Triangle QRS is a right triangle with the right angle at vertex R. The sum of m∠Q and m∠S must be

Mathematics

2 answers:

Verdich [7]3 years ago

8 0

Answer:

you didn't specify much!

So I am saying they are 45° each and that make the sum of both 90°

Step-by-step explanation:

According to the triangle sum theorem, all the angles in a triangle must add up to 180. If one angle is 90° the other two have to add up to 90°,

sveticcg [70]3 years ago

5 0

Answer:

90 degrees

Step-by-step explanation:

You might be interested in

I draw five cards from a randomly shuffled deck. What is the probability that those five cards are in either ascending or descen

Viefleur [7K]

Answer: The probability of drawing 5 cards in either ascending or descending order out of the deck of 52 standard playing cards is 0.84%.

Step-by-step explanation: We have the following cards in a deck: 1(ace), 2, 3, 4, 5, 6, 7, 8, 9, 10, 12(Jack), 13(Queen), 14(King) (thirteen different in total). There are 4 copies of each of them yielding 52 cards in total. First to draw all of the cards in the ascending order all of the drawn cards need to be different. Imagine you have 13 piles of 4 identical cards. Let us calculate the number of ways you can select 5 different ones (the order matters). First you select 5 different piles (this secures that each card is different) and this is possible to do in $\frac{13!}{(13-5)!}$ (we use the formula for variations since the order matters). Now, each card in the pile can be selected in $4$ different ways so the total number of sequences with $5$ different cards is $4^5\frac{13!}{(13-5)!}$ . Now we select out of these sequences the clases of those that contain exactly the same cards but in different order. Only 4 of the sequences within the same class will be in ascending order out of 4*5! which is the total number of the sequences within the class! This means that we have to multiply our total number of sequences of 5 different cards by $\frac{4}{4\cdot 5!}=\frac{1}{5!}$ and this yields the final answer of total number of ascending sequences to be

$4^5\frac{13!}{(13-5)!5!}.$

The total number of possible ways to draw 5 out of 52 cards is just

$\frac{52!}{(52-5)!}.$

This yields for the probability

$\frac{4^5\frac{13!}{(13-5)!5!}}{\frac{52!}{(52-5)!}}=0.42\%$

Exactly the same calculation applies for the descending order. So the probabilty of the cards being in either ascending or descending order is just the sum of these two (the events are mutually exclusive, you cannot have both the ascending and descending order at the same time) yielding the final probability of $0.84\%$ .

6 0

3 years ago

Where in North America is permafrost melting

Julli [10]

Permafrost occurs in areas where the temperature of the ground remains below the freezing mark for two years or more. About a quarter of the Northern Hemisphere's landscape fits this definition. Most of the world's permafrost is found in northern Russia, Canada, Alaska, Iceland, and Scandinavia.

6 0

3 years ago

Find the next three terms in each geometric sequence 32, 48, 72, 108

OlgaM077 [116]

Answer:87

Step-by-step explanation:

8 0

4 years ago

A motorist is pumping gas into his car at a rate of StartFraction 5 over 12 EndFraction of a gallon every StartFraction 1 over 2

rjkz [21]

The answer might be 5, I am not 100% sure tho

4 0