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
astra-53 [7]
3 years ago
10

Given: m angle P equals open parentheses 5 x minus 27 close parentheses degree, m angle Q equals open parentheses 4 x minus 7 cl

ose parentheses degree, and m angle R equals open parentheses 3 x plus 10 close parentheses degree. Which side in increment P Q R is the shortest?
Mathematics
1 answer:
max2010maxim [7]3 years ago
5 0

Answer: Side QR

Step-by-step explanation: The sum of a triangle internal angles is 180°. So to determine the angles, we calculate x:

5x - 27  +4x - 7 + 3x + 10 = 180

12x = 204

x = 17

With x, solve for the angles:

m∠P = 5(17) - 27 = 58

m∠Q = 4(17) - 7 = 61

m∠R = 3(17) + 10 = 61

The relationship between angles and sides in any triangle:

  • the largest angle is opposite the largest side;
  • the middle angle is opposite to the middle-sized side;
  • the shortest angle and side are opposite to each other;

So, the shortest side of PQR is the side opposite to the shortest angle.

The shortest angle is m∠P = 58°. Therefore, the shortest side is QR

You might be interested in
What is an obtuse angle?
natali 33 [55]
An obtuse angle is an angle that is in between 90 degrees and 180 degrees. It looks like this 

5 0
2 years ago
Square root of -49 in terms of i
natita [175]

Answer:

7i

Step-by-step explanation:

We know that  i = √-1

Then solving the given:

  • √-49 = √49×(-1) = √49 × √-1 = 7×√-1 = 7i

So the answer is:

  • √-49 = 7i
3 0
3 years ago
Urgent!!
Ber [7]

Answer:

Sara earned a commission of <em>$2,300.</em>

Step-by-step explanation:

To find the answer we will first<em> divide 5 by 100</em> and we get <em>0.05</em>.  Now <em>multiply $46,000 by 0.05 </em>and we get <em>$2,300</em>.  Therefore, <em>$2,300 is our answer.</em>

6 0
2 years ago
What is a correct name for the angle shown?ROZROLSO ZRTSOZSRTST
Shalnov [3]

Given: Different points and an angles as found in the image

To Determine: The correct name of the angle shown

Solution

An angle is formed when two lines meet at a point. This is as shown below

Let us apply the above to the given image

The angle formed is shown by the red arc.

Hence, the correct name of the angle shown is ∠

7 0
1 year ago
Approximate the cosine value to four decimal places
alekssr [168]

Answer:

0.2419

0.9703

0.1392

Step-by-step explanation:

I did math

5 0
3 years ago
Other questions:
  • How many times is 0.7m in 28m
    9·2 answers
  • What is the solution to the system of equations?
    13·1 answer
  • Write an equation in slope intercept form of the line that passes through (-1,2) and has a slope of 1/2.
    15·2 answers
  • 8x + 4y = 16 7y = 15 - x
    5·1 answer
  • I do not know how to do number 2​
    14·2 answers
  • Dont understa 25 pts who can help answer this
    9·2 answers
  • Benji surveyed 120 people in his town. He found out that 45 people go to the park everyday.what part of the town population prob
    15·1 answer
  • Mr levels gave 5 tests the test scores were 200,225,215,199 and 225, what is the mean median and mode of the tests that mr level
    5·1 answer
  • Wayne is hanging a string of lights 45 feet long around the three sides of his patio, which is adjacent to his house. The length
    12·1 answer
  • 2x^3-4xy(x+y^2) = 7y<br> y+ 25xy = 0
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!