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love history [14]
3 years ago
15

16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain (2 points)

Mathematics
1 answer:
anyanavicka [17]3 years ago
4 0

Answer:

They are equal, and thus, the triangle is a right triangle. ... When the side lengths of a triangle are in the ratio 3: 4: 5, then it is a right triangle. These sides are 6: 8: 10, then the triangle is a right one.

Step-by-step explanation:

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Pleeeeese help me as fast as you can!!!
Aleonysh [2.5K]

Answer:

A. y=3x-10

C. y+6=3(x-15)

Step-by-step explanation:

Given:

The given line is 6x+18y=5

Express this in slope-intercept form y=mx+b, where m is the slope and b is the y-intercept.

6x+18y=5\\18y=-6x+5\\y=-\frac{6}{18}x+\frac{5}{18}\\y=-\frac{1}{3}x+\frac{5}{18}

Therefore, the slope of the line is m=-\frac{1}{3}.

Now, for perpendicular lines, the product of their slopes is equal to -1.

Let us find the slopes of each lines.

Option A:

y=3x-10

On comparing with the slope-intercept form, we get slope as  m_{A}=3.

Now, m\times m_{A}=-\frac{1}{3}\times 3=-1. So, option A is perpendicular to the given line.

Option B:

For lines of the form x=a, where, a is a constant, the slope is undefined. So, option B is incorrect.

Option C:

On comparing with the slope-point form, we get slope as  m_{C}=3.

Now, m\times m_{C}=-\frac{1}{3}\times 3=-1. So, option C is perpendicular to the given line.

Option D:

3x+9y=8\\9y=-3x+8\\y=-\frac{3}{9}x+\frac{8}{9}\\y=-\frac{1}{3}x+\frac{8}{9}

On comparing with the slope-intercept form, we get slope as  m_{D}=-\frac{1}{3}.

Now, m\times m_{D}=-\frac{1}{3}\times -\frac{1}{3}=\frac{1}{9}. So, option D is not perpendicular to the given line.

8 0
3 years ago
Pls HELP I BEG YOUUUU
Stells [14]

Answer:

x = 60

Step-by-step explanation:

(x+22) + (x+6) + (x-28) = 180

x + 22 + x + 6 + x - 28 = 180

x + x + x + 22 + 6 - 28 = 180

3x = 180

x = 180/3

x = 60

6 0
3 years ago
Divide 4 over 5 ÷ 1 over 10 = ___Divide 4 over 5 ÷ 1 over 10 = ____.
Alex777 [14]
4/5 divided by 1/10 is 8 the answer is 8
6 0
3 years ago
7,545 rounded to the nearest hundred
Alex
The answer is 7,500.
Hope that helped!!!
5 0
3 years ago
A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum are
kifflom [539]
Garden
max area is if the sides are as equal as possible
so he should try to make a square (ideal is a circle, but barn walls are normally straight)
squaer perimiter=4 times legnth of 1 side
perimiter=amount of fencing=80
80=4s
divide 4
20=s
one sides=20

area=legnth times width
in squaer, legnth=width

20=legnth
20=width
area=20 times 20=400

dimetions are 20ft by 20ft to give 400ft^2
(fun fact, if it were a circle, the area would be about 509.5ft^2)


answer is 20ft by 20ft and area=400ft^2
7 0
3 years ago
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