MATHEMATICS HIGH SCHOOL

Classify triangle ABC by its sides if side AB = 6x, side AC = 4x + 6 and side BC = 8x + 3. The perimeter of triangle ABC is 63. Show all your work.

Answers

Answer 1

Answer:

Answer:

So the triangle ABC is an isosceles triangle

Step-by-step explanation:

By definition the perimeter of a triangle is equal to the sum of the lengths of its sides.

In this case we know that the perimeter is 63

The lengths of its sides depend on x.

$AB = 6x\nAC = 4x + 6\nBC = 8x + 3$

So:

$6x + 4x + 6 + 8x + 3 = 63$

Now we solve for the variable x.

$6x + 4x + 6 + 8x + 3 = 63$

$18x + 9 = 63$

$18x = 54$

$x=(54)/(18)\n\nx=3$

Therefore:

$AB = 6(3)=18\nAC = 4(3)+6=18\nBC = 8(3) + 3=27$

The triangle has two sides of equal length. The triangles that have two equal sides are the isosceles triangles.

So the triangle ABC is an isosceles triangle

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Show that n^2-1 is divisible by 8,if 'n' is an odd positive integer.

Between which two square roots of integers could you find Euler's number (2.7182818284...)?

Answers

The square root of 7 is roughly 2.6
The square root of 8 is roughly 2.8

Hence Euler's number is between $√(7)$ and $√(8)$ .

between the square roots of 7 and 8

e^2 = 7.38 roughly

Help please rn please

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

T = temperature

-52 < T < 108

Temperatures fall between the values of -52 and 108. D is the number line that shows this.

There are 13 fish in an aquarium. seven of the fish are guppies. how many non-guppies are in the aquarium

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The answer for this question is 6.

There are 6 non-guppies in the aquarium

You and your friends pick up seven movies to watch over a holiday. You have time to watch only two. In how many ways can you select the two to watch?

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Answer:

There are 21 ways to select the two movies to watch.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

${n\choose k}=(n!)/(k!(n-k)!)$

It is provided that there are n = 7 movies to watch.

But we only have time for k = 2.

Compute the total number of ways in which we can select 2 movies from 7 as follows:

${7\choose 2}=(7!)/(2!(7-2)!)$

$=(7!)/(2!* 5!)\n\n=(7* 6* 5!)/(2!* 5!)\n\n=(7*6)/(2* 1)\n\n=21$

Thus, there are 21 ways to select the two movies to watch.

Relative minimum: the point on the graph where the interval changes from A. Increasing B. Decreasing C. Input D. Output

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Can someone help me? It's urgent and thank you!

Answers

Answer:

Step-by-step explanation:

To find this, we are going to use the combination formula as follows;

nCr = n!/(n-r)!r!

In this case, n = 7 and r = 3

Substituting these values;

7C3 = 7!/(7-3)! 3! = 7!/4!3! = 35

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