1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
Sally went 3.5 miles per hour on a treadmill for 5 hours. She was sore and decided to take 400 mg of Advil. The half portion sta
xenn [34]

Answer:

8 hours

Step-by-step explanation:

it says: The half portion stays in her body for 8 hours.

8 0
4 years ago
Draw a quick picture to show the number write how many tens and ones there are Edna has 82 stamps
ale4655 [162]
Here you go. A quick picture to demonstrate the problem. Hope this helps!! <span />

8 0
3 years ago
In ΔIJK, k = 57 inches, i = 37 inches and ∠J=141°. Find ∠I, to the nearest degree.
Sonbull [250]

Answer:

<I= 15degrees

Step-by-step explanation:

Using the cosine rule formulae;

j² = i²+k²-2i cos <J

j² = 37²+57² - 2(37)(57)cos <141

j² = 1369+ 3249- 4218cos <141

j² = 4618- 4218cos <141

j² = 4618-(-3,278)

j²= 7,896

j = √7,896

j = 88.86inches

Next is to get <I

i² = j²+k²-2jk cos <I

37² = 88.86²+57² - 2(88.86)(57)cos <I

1369 = 7,896.0996+ 3249- 10,130.04cos <I

1369 = 11,145.0996 - 10,130.04cos <I

1369 - 11,145.0996 = - 10,130.04cos <I

-9,776.0996=- 10,130.04cos <I

cos <I =9,776.0996 /10,130.04

cos<I = 0.96506

<I = 15.19

<I= 15degrees

8 0
3 years ago
Plzzzzzzzzzzzz help quick
Nataly_w [17]
The answer would be A
8 0
3 years ago
Read 2 more answers
A cube has an edge measuring 6 cm. Find its volume.
Serjik [45]

Answer:

216

Step-by-step explanation:

Hope this helps.

4 0
3 years ago
Read 2 more answers
Other questions:
  • A math problem that equals 8?
    7·2 answers
  • The lines graphed below are perpendicular. The slop of the red line is -1/3. What is the slope of the green line
    5·1 answer
  • A function g is defined by g(x)=50−2x. If x increases by 7, by how much does g(x) decrease?
    8·2 answers
  • I would appreciate assistance with this problem
    12·2 answers
  • PLEASE HELP ASAP?!!!!!!!
    12·1 answer
  • URGENT 25 POINTS MATH EQUATION PLEASE NO POINT STEAL!
    15·1 answer
  • The temperature was -5oF and then fell 8oF.
    10·2 answers
  • 50 divided by 56 please answer much needed
    6·1 answer
  • A crew will arrive in one week and begin filming a city for a movie. The mayor is desperate to clean the city streets before fil
    11·1 answer
  • Sarah had a balance of $162 in her bank account at the start of the week. She withdrew $63.50 on Monday, $23.25 on Wednesday, an
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!