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
QveST [7]
3 years ago
5

Suppose △ABC has exterior angle at vertex B. The exterior angle is (12x−24)°, m∠A=(3x−6)°, and m∠C=(6x+12)°. What is the measure

of the exterior angle at vertex B?
10° degrees


24°24 degrees


96°96 degrees


72°
Mathematics
1 answer:
Temka [501]3 years ago
6 0

Answer: 96°

Step-by-step explanation:

If a triangle is being drawn, Angle A and C will be the two remote interior angles in the triangle. The sum of the two interior angles has to equal to the exterior angle.

Set them equal each other and solve for x.

(3x-6) + (6x +12) = 12x - 24     Combine like terms

9x + 6 = 12x - 24          Subtract 6 from both sides

    - 6             -6  

   9x = 12x - 30             Subtract 12x from both sides

-12x       -12x  

    -3x = -30               Divide both sides by -3    

 x = 10      

Now since  x is 10 degrees we will need to input the value into in for x in the exterior angle expression and break it down.  

   Exterior :  12(10) - 24

                    120 - 24  = 96

    This means the measure of the exterior angle at vertex B is  96 degrees.

You might be interested in
Need Help me ASAP!!!!
pantera1 [17]

Answer:

First option y=3/5x

Step-by-step explanation:

Because if you look on the graph, at x=5, y=3

in the equation, plug in x=5, you cancel out denominator left with y=3

please hit the heart button :) good luck

5 0
3 years ago
What is the standard form equation of the line shown below?
jolli1 [7]
(-1,5)(2,4)
slope = (4 - 5) / (2 - (-1) = -1/3

y = mx + b
slope(m) = -1/3
use either of ur points (2,4)...x = 2 and y = 4
now sub and find b, the y int
4 = -1/3(2) + b
4 = -2/3 + b
4 + 2/3 = b
12/3 + 2/3 = b
14/3 = b

so ur equation is : y = -1/3x + 14/3....however, this is not ur answer because it is not in standard form.

y = -1/3x + 14/3
1/3x + y = 14/3....multiply both sides by 3
x + 3y = 14 <=== standard form
4 0
3 years ago
Read 2 more answers
I’m super confused please help !!
neonofarm [45]

Answer:

C

Step-by-step explanation:

3 0
2 years ago
four friends attended a painting class together. They each paid for a ticket and $15 for food. At the end of the night, the tota
tigry1 [53]

Answer:

The answer is $36.25

Step-by-step explanation:

First minus $15 from $160

=145

second divide by the amount of friends which is four

so 145 divided by 4 equals 36.25

each ticket cost $36.25

6 0
2 years ago
What is the first step to solve for x in the equation
Llana [10]
B subtract 18 from both sides
5 0
3 years ago
Other questions:
  • What is the justification for each step in the solution of the equation?
    13·2 answers
  • Pyramids: All but two of the pyramids built by the ancient Egyptians have faces inclined at 52° angles. Suppose an archaeologist
    15·1 answer
  • A friend lends you $250 for a week, which you agree to repay with 5% interest. How much will you have to repay?
    10·1 answer
  • 1/3 divided by 4 someone help!!
    6·2 answers
  • What description represents the expression 5x -9?
    10·1 answer
  • (1,0)(0,0)(-2,0)(-1,-2) in a cubic function
    5·1 answer
  • Helpp pleaseeeee<br><br> Wjejennensns
    10·1 answer
  • Plzz help with this one problem ASAP
    10·1 answer
  • 8. Find the GCF of *<br> 40x3 and 50x2
    8·2 answers
  • If B = -p + 10p2 and C = 2p + 7, find an expression that equals B + 3C in<br> standard form.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!