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
Leviafan [203]
2 years ago
13

In triangle​ ABC, the size of angle B is 3 times the size of angle​ A, and the size of angle C is 1° less than 6 times the size

of angle A.
Mathematics
1 answer:
andriy [413]2 years ago
8 0

Answer:

<em>18.1 -->Measure of A</em>

<em>54.3° -->Measure of B</em>

<em>107.6° -->Measure of C</em>

Step-by-step explanation:

<u>Equations</u>

The sum of the interior angles of a triangle is 180°. Let's call:

x = measure of angle A

The measure of angle B is 3 times the measure of A, thus:

3x = measure of angle B

The measure of angle C is 1 degree less than 6 times of x, thus:

6x - 1 = measure of angle C

The equation to solve is:

x + 3x + 6x - 1 = 180

Simplifying:

10x - 1 = 180

Adding 1:

10x = 181

Dividing by 10:

x = 18.1 -->Measure of A

3x = 54.3° -->Measure of B

6x-1 = 107.6° -->Measure of C

You might be interested in
For an angle θ, tan(θ) is a negative number. Which quadrants might θ be in?
Klio2033 [76]

So for this question, we're asked to find the quadrant in which the angle of data lies and were given to conditions were given. Sign of data is less than zero, and we're given that tangent of data is also less than zero. Now I have an acronym to remember which Trig functions air positive in each quadrant. . And in the first quadrant we have that all the trig functions are positive. In the second quadrant, we have that sign and co seeking are positive. And the third quadrant we have tangent and co tangent are positive. And in the final quadrant, Fourth Quadrant we have co sign and seeking are positive. So our first condition says the sign of data is less than zero. Of course, that means it's negative, so it cannot be quadrant one or quadrant two. It can't be those because here in Quadrant one, we have that all the trick functions air positive and the second quadrant we have that sign. If data is a positive, so we're between Squadron three and quadrant four now. The second condition says the tangent of data is also less than zero now in Quadrant three. We have that tangent of data is positive, so it cannot be quadrant three, so our r final answer is quadrant four, where co sign and seek in are positive.  

4 0
2 years ago
Read 2 more answers
A $320 dollar suit is marked down by 30% find the sales price
marta [7]

Answer:

224

Step-by-step explanation:

6 0
2 years ago
This rectangle has side lengths r and s.
quester [9]
Gghhdwbfwbfwbfwbfebfwbwfbfwbqd
7 0
2 years ago
Can someone help me with this problem
Ede4ka [16]
-13/24 because u have to multiply to get the same denominator which would end up being -15/24 and 2/24 add that to get -13/24
7 0
3 years ago
Assume that you have a large sample of radioactive atoms, arranged in a rectangular lattice. Imagine that this lattice has some
babunello [35]

Answer:

I dont care

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Find the volume of the cylinder use 3.14 for pie. Round to the nearest tenth
    13·1 answer
  • Multiply using cancellation:<br><br> 2/5 x 5/7 =
    15·2 answers
  • I WILL MARK BRAINLIST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    7·2 answers
  • BRAINLIEST ANWER + 5 STAR RATING + 20 POINTS ITS MIDTERM GUYS HELP ME!!! Complete the given ordered pairs for the equation. Y=5X
    10·1 answer
  • PLS HALP-
    14·1 answer
  • The restaurant bill you and your friend received
    14·2 answers
  • Not sure how I would go about solving this problem. Any help would be appreciated
    9·1 answer
  • Which is the best estimate for the height of the candle after 1 hour?
    15·1 answer
  • It is known that a particular laboratory task takes the average person 2.5 seconds (the variance is not known). A researcher was
    7·1 answer
  • Marie is saving $75 each week so she can buy a new laptop which costs $1200. She has already saved $125. Find the minimum number
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!