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expeople1 [14]
3 years ago
14

Which of the following statements are true of the hypotenuse of a right triangle?

Mathematics
2 answers:
denis-greek [22]3 years ago
6 0

Answer:

<h2>It is the longest side of a right triangle.</h2><h2>It is opposite the right angle.</h2>

Step-by-step explanation:

First of all, remember that the hypothenuse of a right triangle is the largest side of all three. Also, the hypothenuse is always in front of the right angle. Those two characteristics are used to determined which side is the hypothenuse in a right triangle.

So, basically, the first choice is correct: It is the longest side of a right triangle.

The third choice is also correct: It is opposite the right angle.

Additionally, the legs are the ones which form the right triangle and the length of the hypothenuse is not the sum of the lengths of the other two sides, because that actually violates the triangular inequality which defined all existing triangles.

Therefore, the right answers are first and third choices.

kodGreya [7K]3 years ago
5 0
It is the longest side of a right triangle.
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What is the value of k if the line 5x+ky=12 passes through the point (2,-1).
olchik [2.2K]

Answer:

k = -2

Step-by-step explanation:

1. Substitute the point (2,-1) into the given equation 5x+ky=12. The first number is 2, the x-value. The second number is -1, the y-value.

5x + ky = 12

5(2) + k(-1) = 12

2. Simplify

5(2) + k(-1) = 12

10 + (-k) = 12

10 - k = 12

2. Isolate k

10 - k = 12

-k = 12-10

-k = 2   <= here multiply both sides by (-1)

k = -2

5 0
3 years ago
What is the point called when it's on the y axis and never ends
sineoko [7]
A segment? ????? Not so sure about that one
3 0
3 years ago
77 over 200 as mixed number as a decimal
e-lub [12.9K]

Every mixed number is (a whole number) + (a piece of another one).
So every mixed number must be bigger than ' 1 ', because ' 1 ' is the
smallest whole number.

77/200  is less than ' 1 ', because the numerator is less than the
denominator.  So it doesn't have what it takes to be a whole number.

Every fraction is a short way to write a division problem. It means

       (the top number) divided by (the bottom number).

When you actually do the division, the answer is the decimal form
of the fraction.

When you divide  77  by  200 , you get  0.385 .


6 0
3 years ago
if 5 lemons cost £1 and a bag of 4 oranges cost £1.80, how much more does one orange cost than the lemon?
olga55 [171]
One orange costs 0.45 so a lemon costs 55 cents more than one orange
8 0
3 years ago
Read 2 more answers
Find the height of a triangular prism with a base length of 10 yards, a base height of 20 yards, and a volume of 600 cubic yards
Artemon [7]
The volume of the triangular prism is the Area of the base times the height
the area of the base is:
\frac{ab}{2}
and the volume is:
V=(\frac{ba}{2})h

now b=10 yards,  a=20 yards, and V=600 yards^3
we clean the height 

h=\frac{2V}{ab}=\frac{2\cdot 600}{10\cdot 20} = 6&#10;

the answer is height = 6 yards


8 0
3 years ago
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