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
svp [43]
3 years ago
8

Find the angles of the rhombus if the ratio of the angles formed by diagonals and the sides of the rhombus is 6:5.

Mathematics
1 answer:
almond37 [142]3 years ago
6 0

Answer: (\frac{1080}{11})^{\circ} and (\frac{900}{11} )^{\circ}

Step-by-step explanation:

Here, the ratio of the angles formed by diagonals and the sides of the rhombus is 6:5.

Let the angles formed by diagonals and the sides of the rhombus are 6x and 5x.

Where x is any number.

Therefore, the angles of rhombus are = 12 x and 10x ( Because in rhombus opposite angles are equal and diagonals are the angle bisectors in case of rhombus)

Also, In rhombus diagonals bisect each other perpendicularly.

6x + 5x + 90^{\circ} = 180^{\circ}

\implies 11 x + 90^{\circ} = 180^{\circ}

\implies 11x = 90^{\circ}

\implies x = \frac{90}{11}

⇒ The one angle of rhombus = (6\times \frac{90}{11})^{\circ}=(\frac{540}{11})^{\circ}    

And another angle = (5\times \frac{90}{11})^{\circ}=(\frac{450}{11})^{\circ}

You might be interested in
A boy's age is three times the age of his sister. Their ages together total 16 years.
jok3333 [9.3K]

Answer:

Sister's age: 4

Brother's age: 12

8 0
2 years ago
The exponential function, f(x)=2^x, undergoes two transformations to g(x)=3x2^x+5. How does the graph change? Select all that ap
Shalnov [3]

Answer: Options A and C.

Step-by-step explanation:

 The parent exponential function has the form:

f(x)=b^x

This can be transformated as following:

When you multiply the function by a factor <em>a</em> (a*f(x))<em> </em>and <em>a>0 </em>, then the function is  vertically stretched.

When you add a number <em>k</em> to the parent function, the function is shifted up (f(x)+k)

The parent function given in the problem is:

f(x)=2^x

To obtain the function g(x)=3*2^x+5, the parent function is multiplied by a factor 3 (which is greater than 0) and the number 5 is added.

Therefore, the graph is shifted up and vertically stretched.

5 0
3 years ago
CAN SOMEONE HELP PLEASE!
tatyana61 [14]
The equation of a cirecle with radius r and center at (h,k) is
(x-h)^2+(y-k)^2=r^2
r=10
center=(-2,-4)
(x+2)^2+(y+4)^2=10^2
(x+2)^2+(y+4)^2=100
(x,y)
sub given points (or use TI) and see if you get a true statmeent
A is on it

answer is A

8 0
3 years ago
Read 2 more answers
Diego wants to have $1,000,000 in 5 years. He plans to invest $250,000 to start and make yearly payments of $125,000 to the acco
julia-pushkina [17]

Answer:

Yes

Step-by-step explanation:

With the $875,000 from his input alone he is really close to $1,000,000 and doing simple intrest on the $250,000 is $105,000 a year is he earns 3.5% intrest a month.

So in 5 years he'll have about $1,662,500 using simple intrest but with compound it'd be more like 2mil

Hope this helps!

5 0
2 years ago
Please help ! I don’t get it!
Amiraneli [1.4K]

Answer:

PR = 16

SR = 12

Step-by-step explanation:

6/8 = (x-3)/(x+1)

8x-24 = 6x+6

simplify

2x = 30

x = 15

PR = 15 + 1 = 16

SR = 15 - 3 = 12

8 0
3 years ago
Other questions:
  • An expression used to calculate a desired result is called a ____
    13·2 answers
  • A homeowner has 20 feet of fencing material to enclose a rectangular area for his pets. the rectangular area is adjacent to a ho
    9·1 answer
  • Which expression can be used for the missing side length of the rectangle?
    12·1 answer
  • What is the domain of the following function: f ( x ) = √ x + 4/ x − 2
    6·1 answer
  • Solve the inequality Show your work<br><br>-5/2(3x+4)&lt;6-3x
    13·1 answer
  • -25 = -4r + 5 please help
    14·2 answers
  • The elementary school students are putting on a play as a fundraiser. The student tickets cost $2.00 each and
    11·2 answers
  • How did I get this wrong?
    11·2 answers
  • Describe in detail how you would create a number line with the following points: 1, 3.25, the opposite of 2, and – (–4fraction o
    13·1 answer
  • Which fraction has the greatest value? A number line going from negative 1 to positive 1 in increments of 1. StartFraction 5 Ove
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!