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
babymother [125]
3 years ago
8

In Triangle ABC, the measure of angle B is 36 degrees more than three times the measure of angle A. The measure of angle C is 54

degrees more than the measure of angle A. Find the measure of each angle.
Mathematics
1 answer:
tangare [24]3 years ago
3 0

Answer:

angle A = 18°

angle B = 36 + 3(18) = 90°

angle C = 54 + 18 = 72°

Step-by-step explanation:

A triangle is a shape with 3 sides. The total angle of a triangle is 180°. This means the sum of all the angle is 180°.

Let

angle A = a

angle B = 36 + 3a

angle C = 54 + a

The sum of angle A, B and C should be equals to 180°. Therefore,

a + 36 + 3a + 54 + a = 180°

collect like terms

5a + 90 = 180

5a = 180 - 90

5a = 90

divide both sides by 5

a = 90/5

a = 18°

angle A = 18°

angle B = 36 + 3(18) = 90°

angle C = 54 + 18 = 72°

You might be interested in
Finding angle measures between intersecting lines
Orlov [11]

Answer:

x = 13⁰

Step-by-step explanation:

Since AGC is a right angle, AGD is also a right angle

(Sum of angles of straight line is 180, 180 - 90 =90)

Now, DGF + 77 = 90

or, DGF = 90 - 77

DGF = 13

Now we can say that DGF = x because opposite angles formed by intersecting lines are always equal.

So, x = 13⁰

3 0
3 years ago
Read 2 more answers
Let f(x) = -6x + 3 and g(x) = 5x + 4. Find f*g and state its domain.
Nikolay [14]
1- getting f*g:
We are given that:
f (x) = -6x + 3
g (x) = 5x + 4
To get f*g, we will simply multiply the two functions as follows:
f (x) * g (x) = (-6x+3)(5x+4)
f (x) * g (x) = -30x² - 24x + 15x + 12
f (x) *  g (x) = -30x² - 9x + 12

2- getting the domain:
The domain is all the values of x that can be used in the given equation.
In the equation calculated from part 1, we can note that all real numbers can be considered as the domain.

Hope this helps :)
3 0
3 years ago
What is the inverse of f(x)=4x
Allisa [31]
The sum can be rewritten as y=4x, where y=f(x).
Now, we can rewrite the equation a x=y/4
Therefore, inv(f(x))=x/4
3 0
4 years ago
Read 2 more answers
Alan has $400 in his checking account. He withdraws $50 each week. The amount remaining in his account, f(x), after x weeks is
MrRa [10]

Answer:

  {0, 50, 100, 150, ..., 350, 400}

Step-by-step explanation:

The range of Alan's balance will be multiples of 50 that are between (and including) 0 and 400.

  {0, 50, 100, 150, ..., 350, 400}

_____

The expression for f(x) is ...

  f(x) = initial balance - (rate of withdrawal) × (time period)

  f(x) = 400 -50x

This is a continuous linear function defined for all x, and capable of producing f(x) values between -∞ and +∞. The range of this function is "all real numbers."

However, <em>as applied to this problem</em>, the domain of x is the set of integers from 0 to 8. The corresponding range is multiples of 50 from 0 to 8, that is, values 0, 50, ..., 350, 400.

8 0
3 years ago
The perimeter of a rectangle is 20 centimeters the length is 6 cm what is the area of a rectangle?
Mars2501 [29]
The area is 24.

l x w = area
6 0
4 years ago
Other questions:
  • Multiply: -12y(y - 6) Enter the correct answer. ​
    6·2 answers
  • Mallory has been offers two different jobs. She can baby sit for 6 hours a week and get $8.50 an hour. Or she can work at the li
    12·1 answer
  • What is the sum or difference?
    10·2 answers
  • How is 56.07 written as a mixed number with 100 as a denominator
    13·1 answer
  • Suppose you wish to perform a hypothesis test for a population mean. suppose that the population standard diviation is unknown,
    13·1 answer
  • Name the property the equation illustrates. <br><br> 8 + 3.4 = 3.4 + 8
    12·1 answer
  • If ab is parallel to cd and the slope of cd is -5, what is the slope of ab?
    15·1 answer
  • 13 = -2 ( y - 4 ) + 3y
    9·2 answers
  • The selling price of an item is ​$.520 It is marked down by ​20%, but this sale price is still marked up from the cost of 320​$.
    14·1 answer
  • If the circumference of the circle above is 25.12 units, what is the area? (Use 3.14 for T.)
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!