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prisoha [69]
3 years ago
11

Given: ∆PQR, m∠R = 90° m∠PQR = 75°, m∠MQR = 60° M ∈ PR , MP = 18 Find: RQ

Mathematics
1 answer:
Darina [25.2K]3 years ago
6 0

Answer:

RQ = 9.

Step-by-step explanation:

m < RPQ = 180 - 90 - 75 = 15 degrees

m < PQM = 75 - 60 = 15 degrees.

So triangle PMQ is isosceles so side PM is congruent to side MQ, therefore MQ = 18.

Triangle  RQM is a 30-60-90 triangle with RQ the shortest leg (because it is opposite the lowest angle) so that makes RQ = 1/2 of MQ.  (The sides in a 30-60-90 triangle are in the ratio 1:sqrt3:2)

RQ = 1/2 * 18 = 9.

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4. Pandora is gathering flowers to decorate her
Monica [59]

Answer:

148

Step-by-step explanation:

In this problem, Pandora has:

- 2 baskets that can hold 38 roses each

- 3 baskets that can hold 24 roses each

Here we want to calculate the total amount of roses that Pandora must get in order to fill all the baskets.

The first 2 baskets can contain a number of roses equal to:

n_1 = 2 \cdot 38 = 76

While the other 3 baskets can contain a number of roses equal to:

n_2=3\cdot 24 =72

Therefore, the total number of roses that can be contained in the 5 baskets is:

n=n_1+n_2=76+72=148

5 0
3 years ago
Amersham station is the highest station in the London Tube at 147 meter above sea level. Waterloo station is the lowest station
murzikaleks [220]
Given that the highest station in London Tube is at 147 m above sea level and the lowest station is at 21 m below sea level, the height difference between will be given by:
[highest height-lowest height]
147-(-21)
=147+21
=168 m
the answer is 180 m
4 0
3 years ago
the equation that models the problem is 3.95m+8.95b=47.65, where m is the number of magazines and b is the number of books
Brut [27]

Based on the calculations, the number of books that were bought by Hugh are 4 books.

<h3>How to calculate the number of books?</h3>

In order to determine the number of books that were bought by Hugh, we would substitute the value of the number of magazines into the given equation and then evaluate as follows:

3.95m + 8.95b = 47.65

3.95(3) + 8.95b = 47.65

11.85 + 8.95b = 47.65

8.95b = 47.65 - 11.85

8.95b = 35.8

b = 35.8/8.95

b = 4.

In conclusion, the number of books that were bought by Hugh are 4 books.

Read more on equations here: brainly.com/question/13170908

#SPJ1

Complete Question:

Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of $47.65. If Hugh bought 3 magazines, how many books did he buy? The equation that models the problem is 3.95m + 8.95b = 47.65, where m is the number of magazines and b is the number of books.

7 0
2 years ago
What equation matches the graph?
Naddik [55]

Answer:

Answer choice B.

4 0
3 years ago
Read 2 more answers
Which of the following are solutions to the inequality -7x+14&gt;-3x-6? Select all that apply.
JulijaS [17]

-7x+14>-3x-6

add 7x to each side

14> 4x-6

add 6 to each side

20>4x

divide by 4

5>x

x<5

solutions

3,0,-3,-5,-10

6 0
3 years ago
Read 2 more answers
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