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
Brums [2.3K]
3 years ago
11

In triangle ABC, the size of angle B is 5 times the size of angle A, and the size of angle C is 7 less than 4 times the size of

angle A
Mathematics
1 answer:
kipiarov [429]3 years ago
5 0
It sounds like everything is being described in reference to angle A, so a good starting point is to pick a variable to represent the measure of angle A. I'm going to use "a" for that.

Next, I'm going to take the verbal descriptions in the problem and "translate" them into "math language". They say angle B is 5 times angle A, so that means the measure of angle B is actually 5a. The size of angle C is 5 degrees less than 4 times the size of A, so that translates to 4a-5.

We now know the following:

Angle A: a
Angle B: 5a
Angle C: 4a-5

Now, to find the value of a, we need to remember that all the angles in a triangle add up to 180 degrees.

So we have: a+5a+4a-5 = 180

We can solve that equation by combining like terms to get: 10a-5=180

We can add 5 to both sides: 10a =185

And divide by 10: a = 18.5

That tells us the measure of angle A! (It's 18.5 degrees). Now we can go back and find B by multiplying A by 5. We get 92.5 degrees for that.

Finally, we can find C by taking 4*18.5-5. We get 69 degrees for that.

One last thing-- let's check that they really do add up to 180! 69+92.5+18.5 = 180. Yep!

Hope that helps you!!
You might be interested in
Look at the image for the question.
PtichkaEL [24]
I don’t see any images
8 0
3 years ago
Ian and his brother are driving from city A to city B. The two cities are 282 miles apart. Ian drives at 47 miles per hour. How
leva [86]
I got 6 hours for this one.
6 0
3 years ago
What is the value of 6P6?   A. 1   B. 36   C. 720   D. 46,656
il63 [147K]
6^6=6\cdot6\cdot6\cdot6\cdot6\cdot6=46,656\\\\Answer:D
3 0
3 years ago
Jessica earned $16 mowing a neighbor's yard. She bought a craft kit for $7.37. She used $3.75 to buy food for a food drive. She
iogann1982 [59]

Answer:

$4.88

Step-by-step explanation:

Jessica made $16 mowing a neighbors yard

She brought a craft kit for $7.37

16-7.37

= 8.63

She used $3.75 to buy food for a food drive

8.63-3.75

= 4.88

Hence the amount Jessica put in the savings account is $4.88

4 0
3 years ago
Read 2 more answers
Solve for x and select your answer from the multiple choices.​
Alchen [17]

Answer:

x=3

Step-by-step explanation:

3x+5=14

   -5  -5

3x=9

/3  /3

x=3

3 0
3 years ago
Read 2 more answers
Other questions:
  • How many fourths are in 3 fourths?
    8·1 answer
  • What is the rule for finding the coordinates of an image reflected over the line y=-x
    10·2 answers
  • Can someone help me on question 5
    9·1 answer
  • Sally has 35% off coupon. The total before tax came $23.95. how much did the item originally cost?
    10·1 answer
  • Solve the inequality and enter your solution as an inequality comparing the
    6·2 answers
  • How to find the slope<br>​
    5·2 answers
  • The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviat
    12·1 answer
  • The total profit from the Spanish club fund-raiser varies directly with the number of dinner tickets sold. If the sale of 22 tic
    9·1 answer
  • Use the pie chart at the right, which shows the number of workers (in thousands) by industry for a certain country. Find the
    5·1 answer
  • Find the distance between the pair of points.(-5, -8) and (4,4). What is the distance?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!