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2 years ago

determine if the given information would form a unique triangle, many different triangles, or no triangles. 8 feet and 11 feet

Mathematics

1 answer:

Ugo [173]2 years ago

6 0

Answer:

many different triangles.

Step-by-step explanation:

The given information is the length of two sides of a triangle, these lengths are:

8ft and 11ft

So the third side can have different lengths (notice that we do not have any restriction in the angles neither)

Then the third side has a lot of different possible lengths, this means that we can make many different triangles with this information.

Remember that one of the criteria for congruent triangles is SSS, (side side side)

So if we know 3 sides, there is only one triangle that can be made with these sides, but if we only know two sides this is not the case.

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Some questions have the form y = kx, where k is a number. Drag each question to the correct category below. ( X = y/2 ),( y = .1

fomenos

Answer:

Has the form y = kx

( y = 0.11x)

(y = 0.04x)

Can be put into form y = kx

(z/x = 9)

Other

(5 = xy)

( x = y/2)

Step-by-step explanation:

y = kx

( y = 0.11x)

(y = 0.04x)

kx = y

(z/x = 9)

-----------

( x = y/2 )

( x - 5 = y)

(5 = xy)

8 0

3 years ago

jeff's credit card charges an annual rate of 5% simple interest. The balance on his card is $300, and he makes interest-only pay

kirill115 [55]

Answer: 60

Step-by-step explanation:

4 0

3 years ago

Is the following statement correct? Explain.

Maksim231197 [3]

Answer: The answer is NO.

Step-by-step explanation: The given statement is -

If the graph of two equations are coincident lines, then that system of equations will have no solution.

We are to check whether the above statement is correct or not.

Any two equations having graphs as coincident lines are of the form -

$ax+by=c,\\\\dax+dby=dc,\\\\\textup{where}~~d\neq 1.$

If we take d = 1, then both the equations will be same.

Now, subtracting the second equation from first, we have

$a(1-d)x+b(1-d)y=c(1-d)\\\\\Rightarrow ax+by=c,~\textup{since}~d\neq 1,~\textup{so}~1-d\neq 0.$

Again, we will get the first equation, which is linear in two unknown variables. So, the system will have infinite number of solutions, which consists of the points lying on the line.

For example, see the attached figure, the graphs of following two equations is drawn and they are coincident. Also, the result is again the same straight line which has infinite number of points on it. These points makes the solution for the following system.

$2x+5y=10,\\\\6x+15y=30.$