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
Phantasy [73]
3 years ago
15

CAN SOMEONE EXPLAIN AND MAYBE SHOW ME STEP BY STEP WHY THE ANSWER IS 75degrees. HURRY 50 points and brainiest!!!

Mathematics
1 answer:
Strike441 [17]3 years ago
6 0
<h2>Answer:</h2>

m∠MLQ = 60°. (<u>Equilateral triangle</u>)

Hence, m∠QLP = 30°.

<u>ΔLQP is an isosceles triangle (LQ and LP are congruent)</u>

m∠LPQ = m∠LQP = (180 - 30)/2

m∠LQP = 150/ 2

m∠LQP = 75°.

You might be interested in
Fine length of BC on the following photo.
MrMuchimi

Answer:

BC=4\sqrt{5}\ units

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle ACD

Find the length side AC

Applying the Pythagorean Theorem

AC^2=AD^2+DC^2

substitute the given values

AC^2=16^2+8^2

AC^2=320

AC=\sqrt{320}\ units

simplify

AC=8\sqrt{5}\ units

step 2

In the right triangle ACD

Find the cosine of angle CAD

cos(\angle CAD)=\frac{AD}{AC}

substitute the given values

cos(\angle CAD)=\frac{16}{8\sqrt{5}}

cos(\angle CAD)=\frac{2}{\sqrt{5}} ----> equation A

step 3

In the right triangle ABC

Find the cosine of angle BAC

cos(\angle BAC)=\frac{AC}{AB}

substitute the given values

cos(\angle BAC)=\frac{8\sqrt{5}}{16+x} ----> equation B

step 4

Find the value of x

In this problem

\angle CAD=\angle BAC ----> is the same angle

so

equate equation A and equation B

\frac{8\sqrt{5}}{16+x}=\frac{2}{\sqrt{5}}

solve for x

Multiply in cross

(8\sqrt{5})(\sqrt{5})=(16+x)(2)\\\\40=32+2x\\\\2x=40-32\\\\2x=8\\\\x=4\ units

DB=4\ units

step 5

Find the length of BC

In the right triangle BCD

Applying the Pythagorean Theorem

BC^2=DC^2+DB^2

substitute the given values

BC^2=8^2+4^2

BC^2=80

BC=\sqrt{80}\ units

simplify

BC=4\sqrt{5}\ units

7 0
3 years ago
the populatipn of a school of fish increases at a rate of 18% a Month. There are currently 500 fish in the school.
ruslelena [56]
You first must find the 18% of the fish population.

You multiply 500 by .18 . You are supposed to get 90.

90 is the 18% fish increase.

Then you just add 500 + 90 and you will get 590 fish that are now in the school.
8 0
3 years ago
11. You pay $24.50 for 10 gallons of gasoline and one
Cloud [144]
Ummm this confuses me a bit
6 0
3 years ago
Which of the following are square roots of 265
Studentka2010 [4]

Answer:

Step-by-step explanation:

5 0
3 years ago
The linear equation y=-2x+3 has a positive slope of 2, true or false ?
Anna007 [38]

Answer:

False

Step-by-step explanation:

the slope is -2/1 AKA -2 so it is negative

7 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP!!! GEOMETRY<br> please
    7·1 answer
  • Which 2-digit number is equal to the sum of its first digit plus the square of its second digit?
    10·1 answer
  • The 1992 world speed record for a bicycle (human-powered vehicle) was set by Chris Huber. His time through the measured 200 m st
    10·1 answer
  • Find the slope of the line?
    9·2 answers
  • Round 124,567 to nearest thousand
    12·1 answer
  • The shape of the solution region for the system (picture) can be described as which of the following? Select all that apply.
    10·1 answer
  • A rental truck costs $36 plus $0.60 per mile. write a equation that gives the cost of driving the truck x miles.
    7·1 answer
  • D.<br>b. If Efx = 100 + 75x and N= 20 + 15x, find the mean.​
    10·1 answer
  • Answer asap pls no trolls!
    6·1 answer
  • find the area of a segment of a circle that subtends an angle of 120° at the centre of a circle of radius 56cm.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!