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Sati [7]
3 years ago
10

The length of the sides of a triangle is given. Determine

Mathematics
1 answer:
Stels [109]3 years ago
3 0

Answer:

The triangle is a right triangle

Step-by-step explanation:

For the triangle to be right, Pythagoras’ theorem must be obeyed

According to the theorem, the square of the longest side (the hypotenuse) equals the sum of the squares of the two other sides

Now, from the given side lengths, the highest value is 10;

squaring this, we have 10^2 = 100

Squaring and adding the other values, we have

6^2 + 8^2 = 36 + 64 = 100

This mean the values are equal and the Pythagoras’ theorem is obeyed

Hence, we can conclude that the triangle with the given side lengths is a right triangle

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The length of a rectangle is 5 m greater than the width. The perimeter is 150 m. find the width
Elza [17]

P = perimeter

Perimeter of a rectangle = l + l + w + w

or  P = 2l + 2w

You know:

P = 150 m

l = w + 5     [length is 5 m greater than the width]

P = 2l + 2w        Plug in what you know

150 = 2(w + 5) + 2w     Simplify, distribute/multiply 2 into (w + 5)

150 = 2w + 10 + 2w

150 = 4w + 10     Subtract 10 to both sides of the equation

140 = 4w       Divide 4 on both sides

35 = w

PROOF               l = w + 5 --->  l = 40

P = 2l + 2w

150 = 2(40) + 2(35)

150 = 80 + 70

150 = 150

4 0
3 years ago
Please this is my last point I really need help <br> Show workings
Lisa [10]

Answer:

x = 14.375

Step-by-step explanation:

Ok, so we know that a triangle has a total interior degree of 180°. And since we already have a 95° angle, we just need to subtract 95 from 180.

180° - 95° = 85°

Now, we already have indicators that two of the three sides are equal. And we already got the angle of the side that does not have a matching partner. So we just need to divide what we already have by 2.

85° / 2 = 42.5°

Now that we know each side is 42.5 degrees, we just need to grab our given equation and put and equal sign at the end with what we already know is the answer (since we are trying to solve for <em>x</em>).

(4x - 15) = 42.5

Now, let's just get rid of those useless parentheses.

4x - 15 = 42.5

Next, we just need to have the variable on its own side, all by itself. So, in order to do that, we just add 15 to both sides.

4x = 57.5

Now, for our final step, we just need to divide each side by our variables' factor (which is a positive 4). In which we get our final answer of:

x = 14.375

4 0
3 years ago
Read 2 more answers
Answer i will rate u the brainiest and give u a extra 50 points problem
MrRa [10]

Answer:

man that takes to much time but this is what I got 4,057.6

4 0
3 years ago
. Multiply (3x+2)(4x-7)
aleksklad [387]

Answer:

12x^{2}  + 29x - 14

Step-by-step explanation:

(3x+2)(4x-7)

Multiply out 3x first then 2

(3x * 4x) - (3x * -7) + (2 * 4x) + (2 * -7)

12x^{2} - (- 21x) + 8x + ( -14)

12x^{2} + 21x + 8x - 14    Combine like terms

12x^{2}  + 29x - 14

4 0
3 years ago
Read 2 more answers
ANSWER QUICK PLEASE
scoundrel [369]

Answer:

23 1/4

Step-by-step explanation:

8 0
2 years ago
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