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
Fynjy0 [20]
3 years ago
10

A 108 degrees b 24 degrees c 156 degrees d 72 degrees

Mathematics
1 answer:
Fantom [35]3 years ago
6 0
According to the Alternate Exterior Theorem, alternate exterior angles are congruent. So:

3x = 4x - 24
x = 24

But, this question is not over. This question is asking for angle RST, not x.

3(24) = 72

Hope this helped!
<span />
You might be interested in
Determine wether the graphs of the given equations are parallel, perpindicular, or neither.
guapka [62]
I wrote answers in picture and I use Desmos app to solve this equations

7 0
2 years ago
Can someone pls help
MakcuM [25]

when x =1 , y = 3

 when x = 3, y =27

27-3 = 24

3-1 = 2

24/2 = 12

 rate of change = 12

3 0
3 years ago
Write an equation of the line passing through the point (3, -1) and parallel to the line y=2/3x - 5. Show work
alex41 [277]

Answer:

The answer is: y = 2/3x - 3

Step-by-step explanation:

Given point: (3, -1)

Given equation: y = 2/3x - 5, which is in the form y = mx + b where m is the slope and b is the y intercept.

Parallel lines have the same slope. Use the point slope form of the equation with the point (3, -1) and substitute:

y - y1 = m(x - x1)

y - (-1) = 2/3(x - 3)

y + 1 = 2/3x - 6/3

y + 1 = 2/3x - 2

y = 2/3x - 3

Proof:

f(3) = 2/3(3) - 3

= 6/3 - 3

= 2 - 3

= -1, giving the point (3, -1)

Hope this helps! Have an Awesome Day!!  :-)

6 0
2 years ago
Write and equation of the translated or rotated graph in general form (picture below)
WINSTONCH [101]

Answer:

The answer is hyperbola; (x')² - (y')² - 16 = 0 ⇒ answer (a)

Step-by-step explanation:

* At first lets talk about the general form of the conic equation

- Ax² + Bxy + Cy²  + Dx + Ey + F = 0

∵ B² - 4AC < 0 , if a conic exists, it will be either a circle or an ellipse.

∵ B² - 4AC = 0 , if a conic exists, it will be a parabola.

∵ B² - 4AC > 0 , if a conic exists, it will be a hyperbola.

* Now we will study our equation:

 xy = -8

∵ A = 0 , B = 1 , C = 0

∴ B² - 4 AC = (1)² - 4(0)(0) = 1 > 0

∴ B² - 4AC > 0

∴ The graph is hyperbola

* The equation xy = -8

∵ We have term xy that means we rotated the graph about

  the origin by angle Ф

∵ Ф = π/4

∴ We rotated the x-axis and the y-axis by angle π/4

* That means the point (x' , y') it was point (x , y)

- Where x' = xcosФ - ysinФ and y' = xsinФ + ycosФ

∴ x' = xcos(π/4) - ysin(π/4) , y' = xsin(π/4) + ycos(π/4)

∴ x' = x/√2 - y/√2 = (x - y)/√2

∴ y' = x/√2 + y/√2 = (x + y)/√2

* Lets substitute x' and y' in the 1st answer

∵ (x')² - (y')² - 16 = 0

∴ (\frac{x-y}{\sqrt{2}})^{2}-(\frac{x+y}{\sqrt{2}})^{2}=

 ( \frac{x^{2}-2xy+y^{2}}{2})-(\frac{x^{2}+2xy+y^{2}}{2})-16=0

* Lets open the bracket

∴ \frac{x^{2}-2xy+y^{2}-x^{2}-2xy-y^{2}}{2}-16=0

* Lets add the like terms

∴ \frac{-4xy}{2}-16=0

* Simplify the fraction

∴ -2xy - 16 = 0

* Divide the equation by -2

∴ xy + 8 = 0

∴ xy = -8 ⇒ our equation

∴ Answer (a) is our answer

∴ The answer is hyperbola; (x')² - (y')² - 16 = 0

* Look at the graph:

- The black is the equation (x')² - (y')² - 16 = 0

- The purple is the equation xy = -8

- The red line is x'

- The blue line is y'

6 0
3 years ago
Read 2 more answers
78 * 40
Debora [2.8K]

Answer:

3120

Step-by-step explanation:

step 1:multiply 8 with 0 and 7 with 0

step 2:add a 0 in the end and multiply 8 with 4 . you get 32. take 2 and carry over 3. multiply 7 with 4. you get 28 . add 3 you get 31. now add. you get 3120

3 0
2 years ago
Read 2 more answers
Other questions:
  • Which statement is true about this question -4(2p+5)+8p=-11
    5·1 answer
  • For which function is f(x) equal to f-1(x)?
    9·1 answer
  • Solve the inequality 8x-2&gt;6
    10·2 answers
  • A particular computer takes 11 minutes to download a 33 minute TV show. How long will it take a computer to download a one and a
    11·1 answer
  • Helppppppppppp please and expalin if you can
    5·1 answer
  • Help me plz i have 8 mins!!
    11·2 answers
  • Select the following statement that is true about shape a and shape b. Question 12 options: Similar—shape b has been stretched,
    12·1 answer
  • The number 9 has only 1 prime factor, 3. What is another number less than 50 only 1 prime factor?
    9·2 answers
  • What are the domain and range of the function f(x)= x4 - 2x2-4?
    6·2 answers
  • What is the best way of choosing a sample to statistically represent a population? Why?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!