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
Svetach [21]
3 years ago
12

Two angles are supplementary if the sum of their measures is 180 degrees. find two supplementary angles such that the smaller is

30 degrees more than one-half of the larger.
step by step please
Mathematics
1 answer:
kaheart [24]3 years ago
8 0
If the larger angle is x and the smaller angle is y, y=(1/2)x+30 since it's 30 more than 1/2 of it. In addition, x+y=180 since they are supplementary. Plugging y=(1/2)x+30 into that, we get x+x/2+30=180=1.5x+30. Subtracting 30 from both sides, we get 1.5x=150. Next, we can divide both sides by 1.5 to get x=100 and y=(1/2)*100+30=50+30=80
You might be interested in
What is the following expression mulituply out (5x-6y)(5x-6y)
Anna007 [38]

Answer:

25x^2 - 60xy + 36y^2

Step-by-step explanation:

(5x - 6y) ( 5x - 6y)

Use foil to get the result when this is expanded.

F: (first term in each factor): 5x*5x = 25x^2

I:  Use the last term first factor multiplied by first term second factor

- 6y * 5x = - 30xy

O:Outside. Use first term first factor and last term second factor

5x * -6y = - 30xy

L: last term in both factors -6y * - 6y = 36y^2

All them together

25x^2 - 30xy - 30xy + 36y^2

and combine

25x^2 - 60xy + 36y^2

8 0
2 years ago
9. Which of the following do you need to know to determine the surface area and volume of a sphere?
Alexxx [7]

Answer:

A: radius of the sphere

Step-by-step explanation:

The formula for surface area is A = 4πr^2

With r being the radius and A the surface area.

For volume it is

V= (4/3)πr^3

6 0
3 years ago
Last years sales at the drive in movie theater totol 144.600. This year's sales should increase by 1/3. how much should sales in
KATRIN_1 [288]
A] Given that the last years's sales was $144,600 and this years sales should increase by 1/3. Then:
i] Amount the sales should increased by will be:
(last year's sales)*(increase)
=144,600*(1/3)
=48,200

ii] The sales in the new year will be:
(last year's sales)+(increase)
=144600+48600
=$192, 800

2] Given that the sales of hifi which included 6% tax was 205,000. The actual sales was:
Actual percentage sales=100%
percentage sales after taxation=100-6=94%
thus the  actual sales was:
(100)/(94)*205,000
=218, 085.1064

3]Given that the rate per $100 is $0.83, and the insurance was for 90000, the insurance premium will be:
(total insurance) *(unit rate)/(number of units)
plugging the values we obtain:
90000*0.83/100
$747

6 0
3 years ago
Read 2 more answers
A cookie jar contains 6 chocolate chip cookies, 4 oatmeal cookies, 8 peanut butter cookies, and 2 sugar cookies. If a cookie is
Tpy6a [65]
You have 20 cookies total in the jar.  The probability of choosing an oatmeal is 4/20, and the probability of choosing a peanut butter cookie is 8/20.  In order to find the probability of pulling a peanut butter cookie OR an oatmeal cookie, we have to add the probabilities together.  8/20 + 4/20 = 12/20 or 6/10 or 3/5.  The answer is C.
7 0
3 years ago
If a 10-pound turkey costs $20.42.how much does a 21-pound turkey cost
sergij07 [2.7K]

Answer:

$42.88

Step-by-step explanation:

Let's create a proportion using the following setup:

cost/pounds=cost/pounds

We know that it costs $20.42 for a 10 pound turkey.

$20.42/10 pounds= cost/pounds

We don't know how much a 21 pound turkey costs, so we can say that it costs $x for a 21 pound turkey.

$20.42/ 10 pounds= $x/ 21 pounds

20.42/10=x/21

We want to find x, by getting x by itself.

x is being divided by 21. The inverse of division is multiplication. Multiply both sides by 21.

21*(20.42/10)=(x/21)*21

21* 20.42/10=x

21*2.042=x

42.882=x

Round to the nearest cent, or hundredth.

42.88=x

x= $42.88

A 21 pound turkey costs $42.88

6 0
3 years ago
Other questions:
  • One ton equals 2,000 pounds. How many pounds are there in 2'/8 tons?
    12·1 answer
  • What is the product of 7/16, 4/3, and 1/2? <br><br> A. 213/48<br> B. 21/32<br> C. 7/12<br> D. 7/24
    8·1 answer
  • 4( -x + 4) = 12 I need help asap​
    14·2 answers
  • Need help with solving and understanding
    7·1 answer
  • Choose the polynomial that is written in standard form.
    15·2 answers
  • What is the answer to 2+1/6a=-4
    5·1 answer
  • I have to solve this system equation by graphing. by the way the equation is all in one,not separate​
    8·1 answer
  • 11/5 =<br> Help me please
    7·1 answer
  • What is the conjugate of 5+\sqrt{7}
    12·1 answer
  • If point c lies on the tangent from part (a)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!