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4 years ago

The acute angles of a right triangle are ______.

2 answers:

4 0

A triangles interior angles, when added = 180 degrees....and if u have a right triangle, then ur right angle measures 90 degrees.....so ur acute angles would have to, when added = 90 degrees for the total of ur angles to equal 180.
and when 2 angles are added, and they equal 90 degrees, they are complementary angles.

so ur answer is : complimentary

alisha [4.7K]4 years ago

3 0

Cause their sum is 90 degree and I think the name for them is d, supplementary

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What are the roots to<br> the equation<br> 2x² + 6x-1=0?

lys-0071 [83]

Answer:

The roots of equations are as m = $\frac{-3}{2} + \frac{\sqrt{11} }{2}$ And n = $\frac{-3}{2} - \frac{\sqrt{11} }{2}$

Step-by-step explanation:

The given quadratic equation is 2 x² + 6 x - 1 = 0

This equation is in form of a x² + b x + c = 0

Let the roots of the equation are ( m , n )

Now , sum of roots = $\frac{ - b}{a}$

And products of roots = $\frac{c}{a}$

So, m + n = $\frac{ - 6}{2}$ = - 3

And m × n = $\frac{ - 1}{2}$

Or, (m - n)² = (m + n)² - 4mn

Or, (m - n)² = (-3)² - 4 ( $\frac{ - 1}{2}$ )

Or, (m - n)² = 9 + 2 = 11

I.e m - n = $\sqrt{11}$

Again m + n = - 3 And m - n = $\sqrt{11}$

Solving this two equation

(m + n) + ( m - n) = - 3 + $\sqrt{11}$

I.e 2 m = - 3 + $\sqrt{11}$

Or, m = $\frac{-3}{2} + \frac{\sqrt{11} }{2}$

Similarly n = $\frac{-3}{2} - \frac{\sqrt{11} }{2}$

Hence the roots of equations are as m = $\frac{-3}{2} + \frac{\sqrt{11} }{2}$ And n = $\frac{-3}{2} - \frac{\sqrt{11} }{2}$ Answer

6 0

4 years ago

The statement "If 1/2x=5, then x=10 is justified by the

Anton [14]

I think it's the Multiplication Property of Equality.

Hope this helps you! :)

6 0

3 years ago

Read 2 more answers

Two triangles are similar. The perimeter of the smaller one is 16. The ratio of the corresponding sides is 2:5. The sides of the

Eddi Din [679]

Answer:

Perimeter of larger triangle is 40.

Step-by-step explanation:

Given:

Perimeter of smaller circle = 16

Ratio of corresponding side = 2:5

We need to find the perimeter of the larger triangle.

Solution:

Let the perimeter of the larger triangle be 'x'.

Therefore by theorem which states that;

" When a triangle have scale factor a:b then the ratio of the perimeters is a:b".

Here Ratio is 2:5, so we can say by theorem, Ratio of perimeters is 2:5

framing in equation form we get;

$\frac{\textrm{Perimeter of smaller triangle}}{\textrm{Perimeter of Larger triangle}}=\frac{2}{5}$

Substituting the values we get;

$\frac{16}{x}=\frac{2}{5}$

By Cross multiplication we get;

$16\times 5=2x\\\\80=2x$

Dividing both side by 2 we get;

$\frac{80}{2}=\frac{2x}{2}\\\\x=40$

Hence Perimeter of larger triangle is 40.

7 0

4 years ago

I don’t understand, help me out

Vikki [24]

Answer:

a. 76 b. 52

Step-by-step explanation:

The perimeter of a rectangle is the sum of its four sides.

Now all rectangles have a width and a length.

To find the perimeter it is 2 width + 2 length or 2W +2L.

So if the Perimeter P = 344 and Width W = 76 and P = 2W + 2L

Then...

2(76) + 2L = 344 multiply 2 and 76

2L + 152 = 344 subtract 152 from both sides

2L = 192 divide both sides by 2

L = 96

The length is 96.

The equation of an area of a rectangle is A or area = width x length or W x L

So the equation is A = W x L

If the area is 4732 and the length is 91 then

91W = 4732 divide both sides by 91

W = 52

The width is 52.

Hope that helps, good luck with your homework!

7 0

3 years ago

HELPPPPP I NEED THIS

Andru [333]

Answer:

D. 1.3

Step-by-step explanation:

5(1.3) = 6.5

Since the value of r is .2 less than b, b would be 1.5

2(1.5) = 3

6.5+3=9.5

3 0

3 years ago