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
MrRa [10]
4 years ago
8

Use an algebraic equation to find the measures of the two angles described below. begin by letting x represent the degree measur

e of the​ angle's supplement. the measure of the angle is eight times greater than its supplement. what is the measure of the​ supplement?
Mathematics
1 answer:
Lina20 [59]4 years ago
4 0
Two angles are said to be supplement when their measure add up to 180 degrees.

Assume that the angle we are looking for is a and its supplement is s (I used s instead of x).

a + s = 180
a = 180 - s ......> equation I

We know that <span>the measure of the angle is eight times greater than its supplement.
This means that:
a = 8s ......> equation II

Substitute by equation II in equation I to get s as follows:
180 - s = 8s
180 = 9s
s = 20 degrees

Substitute in equation I to get the measure of the angle as follows:
a = 180 - s = 180 - 20 = 160 degrees

Based on these calculations:
The measure of the angle is 160 degrees
The measure of its supplement is 20 degrees</span>
You might be interested in
A.Find the total and area of the compound figures
goldfiish [28.3K]

Answer:

(a) The total area of compound figure is 284.52ft^2.

(b) The total perimeter of compound figure is 68.84 ft.

Step-by-step explanation:

Perimeter: The total distance covered by the figure.

Area: It is defined as the space occupied by the figure.

Given:

Length of rectangular figure = 19 ft

Breadth of rectangular figure = 12 ft

Radius of circle, r = \frac{12ft}{2} = 6 ft

Part (a):

Now calculating the total area of the compound figure.

\text{Total area}=\text{Area of rectangular figure}+\frac{1}{2}\times \text{Area of circle}\\\\\text{Total area}=\text{Length}\times \text{Breadth}+\frac{1}{2}\times \pi r^2

Now putting all the given values in this formula, we get:

\text{Total area}=(19ft\times 12ft)+\frac{1}{2}\times 3.14\times (6ft)^2\\\\\text{Total area}=284.52ft^2

Part (b):

Now calculating the total perimeter of the compound figure.

\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times \text{Circumference})\\\\\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)

Now putting all the given values in this formula, we get:

\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)\\\\\text{Total perimeter}=2\times 19ft+12ft+(\frac{1}{2}\times 2\times 3.14 \times 6ft)\\\\\text{Total perimeter}=68.84ft

8 0
3 years ago
Draw the image of △ABC under the translation (x,y)→(x,y+3)
alexira [117]
Take the co-ordinates of your triangle and add three to the Y co-ordinates and keep the X co-ordinates the same. Then, graph. The shape should have slid upwards three points.
7 0
3 years ago
Which expression is equivalent to -3 - (-5) *
horrorfan [7]
Where are the expression.
I would say -3+5
7 0
3 years ago
You place a billiard cue against a billiard table. The foot of the billiard cue is 15 cm away from a table and the top of the bi
irinina [24]

Answer:

It would be 4

Step-by-step explanation:

When dealing with slope its always going to be rise over run, so 60/15 is 4

Hope this helps :)

8 0
2 years ago
Read 2 more answers
Mr. Kohl has a breaker containing n milliliters of solution to distribute to the students in his chemistry class. If he gives ea
77julia77 [94]

Answer:

There were 26 students in his class and the teacher had 83 ml of the solution.

Step-by-step explanation:

Mr. Kohl has a "x" amount of solution, if he divides it by the number of students "n" he'll give each student 3 milliliters  and have a left over of 5 milliliters. If the amount of solution Mr. Kohl had was "x + 21" then he'd be able to give each student 4 milliliters of the solution. From these informations we have:

x = 3*n + 5

(x + 21)/n = 4

x + 21 = 4*n

x = 4*n - 21

Now that we have two equations and two variables we can solve the system of equations, as seen bellow:

3*n + 5 = 4*n - 21

3*n - 4*n = -21 - 5

-n = -26

n = 26

x = 4*26 - 21 = 83 ml

There were 26 students in his class and the teacher had 83 ml of the solution.

3 0
3 years ago
Other questions:
  • Which of the following is the factored form of the given equation?
    5·2 answers
  • Find an equation in slope-intercept form of the line that has slope –8 and passes through point (1,5)
    10·1 answer
  • You have 3/5 of an apple pie . you divide the remaining pie into 5 equal pieces. what fraction of the original pie is each slice
    10·1 answer
  • Translate the following sentence into an algebraic inequality: The quotient of a number, x, and nine is less than eight more tha
    6·1 answer
  • A train left at 10:35 and arrived at 12:10 how long did the journey take?
    9·2 answers
  • Work out radius of 1.43 x 10^5
    10·1 answer
  • I am still stuck on this basic math question. Rosa has 3 3/4 pounds of dough. She uses 1/8 of a pound for one roll. How many rol
    5·1 answer
  • A negative number is 42 less than it’s square.
    5·1 answer
  • Together, two apples have 175 gram of fat. How many apples have a total of 4 grams of fat?
    14·1 answer
  • I don’t understand this question
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!