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Vera_Pavlovna [14]
3 years ago
12

A segment bisects one of the acute angles of a right triangle ABC and divides the opposite side into lengths 8 and 12. Find the

perimeter of triangle ABC
Mathematics
1 answer:
nataly862011 [7]3 years ago
8 0
We could use the Pythagorean Theorem to solve this problem<span />
You might be interested in
F(x)=x cubed +3x squared -6x-8
svlad2 [7]

Answer: x = {-4, -1, 2}

<u>Step-by-step explanation:</u>

        q                     p

F(x) = x³ + 3x² - 6x - 8

\frac{p}{q} = +/- \frac{1, 2, 4, 8}{1}

Possible rational roots are: +/- {1, 2, 4, 8}

F(1) = (1)³ + 3(1)² - 6(1) - 8

     =  1 + 3 - 6 - 8

     =  -10    <em>Since the remainder is not 0, then x = 1 is not a root</em>

F(-1) = (-1)³ + 3(-1)² - 6(-1) - 8

       = -1 + 3 + 6 - 8

       =  0   <em>Since the remainder is 0, x = -1 is a root.</em>

Use synthetic division to find the remaining factor:

x = -1  →  x + 1 = 0

-1  |  1     3     -6     -8

   <u>|  ↓    -1     -2      8     </u>

      1      2    -8      0

(x + 1)(x² + 2x - 8)  = 0

Next, factor the polynomial:

(x + 1)(x + 4)(x - 2)  = 0  

x + 1 = 0        x + 4 = 0         x - 2 = 0

x = -1              x = -4               x = 2

 


6 0
3 years ago
What is the value of x? <br> 20 <br> 35<br> 60<br> 70
Brilliant_brown [7]

Answer:

20

Step-by-step explanation:

so we know x+40=3x because opposite angles are congruent so if you solve it out you get x=20

5 0
3 years ago
Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?
Mashcka [7]

9514 1404 393

Answer:

  x = 20, or 125

Step-by-step explanation:

We cannot tell the angle x is intended to refer to. So, here are two answers. Choose the one you think applies.

__

The triangle that includes both marked angles is a right triangle. (The tangent meets the circle at right angles to the radius.) So, the angle x° at the external point is the complement of the marked central angle.

  x° = 90° -70°

  x = 20

__

If x° is referring to the exterior angle associated with the isosceles triangle within the circle, then its measure is the supplement of the interior base angle of that triangle. It is ...

  x° = 180° -(180° -70°)/2 = 90° +70°/2

  x = 125

5 0
3 years ago
Please help me it’s due today and I don’t understand!!!!
nadya68 [22]

Answer:

A and B I believe

Step-by-step explanation:

6 0
3 years ago
Please help!!! thanks 3
Ganezh [65]
I think it’s yellow. Sorry if I’m wrong.
5 0
3 years ago
Read 2 more answers
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