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
Daniel [21]
2 years ago
6

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times

the measure of the first angle. The third angle is 16 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles
Mathematics
1 answer:
In-s [12.5K]2 years ago
4 0

Answer:

       First:  30°

 Second:   67°

      Third:  83°

Step-by-step explanation:

        First:   x

  Second:   y

      Third:   z = y + 16

Constraints:

   x + y + z  = 180

   y + z = 5x                  ===>    y = 5x - z

   

Substitution to find first angle x:

   x + y + z  = 180

   x + (5x - z) + z  = 180

   x + 5x - z + z = 180

   6x = 180

    x = 30

Substitution to find second angle y:

   y = 5x - z

   y = 5(30) - z

   y = 150 - z

   y = 150 - (y + 16)

   y = 150 - y - 16

   y = 134 - y

   2y = 134

     y = 67

Substitution to find third angle z:

  z = y + 16

  z = (67) + 16

  z = 83

You might be interested in
Which fraction shows a correct way to set up the slope formula for the line that passes through the points (4, -6) and (-2, 1)?
alexandr402 [8]
Y +6 = -7/6 (x-4)



Mark brainliest please


Hope this helps you
6 0
3 years ago
Read 2 more answers
Round to the nearest hundred 5,503,569
Whitepunk [10]
If the next digit, which in this case is in the tens place, is a 5 or above then we know to round up.

Your answer is 5,503,600.

Hope this helps!
5 0
3 years ago
If 3x + 6y = 7z, find x + 2y in terms of z.
o-na [289]

Answer:

Does the answer help you?

3 0
3 years ago
The competitive advantage of small American factories such as Tolerance Contract Manufacturing lies in their ability to produce
Tom [10]

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

H_0: \sigma^{2} \leq 0.0008\\\\H_a:  \sigma^{2} > 0.0008

The testing states value is:

\to x^2=\frac{(n-1)s^2}{\sigma^2}=32.6250

therefor the \rho - \ value = 0.2931

Through out the above equation its values Doesn't rejects the H_0 value, and its  sample value doesn't support the claim that although the configuration of its dependent variable has been infringed.

5 0
2 years ago
Which is the smallest number? 3/4,1/5,10/23,2/31
bixtya [17]
A quick and easy way to do this particular question is to think all of these numbers are close to 1/2 except 2/31. So, the lowest is 2/31.

H O P E T H I S H E L P S!
4 0
3 years ago
Read 2 more answers
Other questions:
  • Can somebody help asap
    8·1 answer
  • A set of data is normally distributed with a mean of 28 and a standard deviation of 2. What is the probability that a value from
    6·1 answer
  • assume that when adults with smartphones are randomly selected, 44% use them in meetings or classes. If 10 adult smartphones use
    8·1 answer
  • Mary has 3000 raffle tickets . The tickets will be sold by 8 different classes. How many groups of raffle tickets are given to e
    6·1 answer
  • The picture below shows a pole and its shadow: A pole is shown with a right triangle side. The right triangle has hypotenuse 221
    9·2 answers
  • Howard is laying an oak wooden floor in his house. The measurements of the floor are 14.5 feet by 40 feet. The wood is packaged
    11·1 answer
  • Which is the most efficient way to solve this equation?
    8·2 answers
  • Travis is making a pattern with triangle tiles. Each side of a triangle is 3 inches long. What is the perimeter when the pattern
    9·1 answer
  • Need the answer please​
    5·1 answer
  • How do you answer other questions that are not yours
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!