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
pashok25 [27]
3 years ago
11

The measure of the exterior angle of the triangle is

Mathematics
2 answers:
lutik1710 [3]3 years ago
5 0

Answer:

Step-by-step explanation:

Hi! So far, in the question provided, you have two of the three angles that you need to find x. To find x, you need all three interior angles of the triangle. When you look at the image, you can see that (7x-16) is a complementary angle to the interior angle we need. To find the final angle of the triangle, you are going to take 180 - (7x-16). This is going to give you the interior angle to be (196-7x).

Now that we know all three angles for the inside of the triangle, we can find the value of x. We know that all of the angles inside of a triangle add up to 180 degrees. This is going to help you find x:

180 = (x+8) + (4x) + (196-7x)

180 = x + 8 + 4x + 196 - 7x

180 = -2x + 204

-24 = -2x

12 = x

Now that we have have the value of x, we can solve for the exterior angle.

(7(12) - 16) = 68 degrees

Hope this helps!

just olya [345]3 years ago
4 0

Answer:

68°

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle

4x + x + 8 = 7x - 16 add like terms

5x + 8 = 7x - 16 export like terms to the same side

8 + 16 = 7x - 5x

24 = 2x divide both sides by 2

12 = x

The measure of exterior angle 7x - 16 ➡ 7 × 12 - 16 = 68°

You might be interested in
Mha fans be like..........
artcher [175]

Answer:

ewwwwwwwwwwwwwwwwwwwwwwwwwww

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Write 45/72 in the simplest form
Oliga [24]
Hi! 

In my opinion, the easiest way to solve a problem like this is to find the greatest common factor (GCF) of the numerator and denominator and then divide both numbers by the GCF. 

So first we need to find the factors of 45 and 72 and find the factor that has the most value that the two numbers both have. 

45: 1, 3, 5, 9, 15, and 45

72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

It looks like the GCF is 9. Now we have to divide 45 and 72 by 9. 

45 ÷ 9 = 5

72 ÷ 9 = 8

So the correct answer should be:

\frac{45}{72} =  \frac{5}{8}

Hope this helps :)
3 0
3 years ago
Someone please help quickly :(
postnew [5]
O wholes
8 columns/ rows
3 small squares
8 0
3 years ago
Read 2 more answers
Which of the following is a polynomial with roots 4, 6, and −7?
aleksklad [387]
Try plugging in 4,6, and -7 into the x's 
8 0
3 years ago
Read 2 more answers
What is the value of -3|15 - s| + 2s3 when's = -3
slamgirl [31]
<span>-3|15 - s| + 2s^3 when s = -3 is
</span>-3|15 - (-3)| + 2(-3)^3 = <span>-3|15 + 3| + 2(-27) = </span><span>-3|18| + (-54) = -3(18) - 54 = -54 - 54 = -108</span>
6 0
3 years ago
Other questions:
  • Solve 3² (2 + 5) − 6.
    15·2 answers
  • What is the area of the pentagon?
    15·1 answer
  • A boat moves at a rate of 40 mph in Stillwater if the rivers current flow in a rate of 4 mph how long does it take a boat to tra
    11·1 answer
  • The circumference of a circle is 3π in.
    11·1 answer
  • a cheetah can run a 2 and 2/5 km in 1 and 1/2 minutes at top speed. What is the top speed of a cheetah in kilometers per hour?
    14·1 answer
  • Can someone please help me out with a small explanation thank you :)
    6·1 answer
  • If the average of x and y is 11 and the average of x, y and z is 5, what is the value of z? ​
    8·1 answer
  • HELP QUICK PLEASE !!
    15·1 answer
  • Determine the common factor and HCF for each of the following terms.
    8·1 answer
  • MIDDLE SCHOOL MATH<br> Please help, this is the last question and it's due at 11:45
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!