Answer:
x=9
Step-by-step explanation:
-5 square root x =-2+3
5x=4x^2 −12x+9
Simplify 25x-4{x}^{2}+12x-925x−4x 2 +12x−9 to 37x-4{x}^{2}-937x−4x 2-9
then...
(4x−1)(x−9)=0
x=1/4,9
-drop 1/4
x=9
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<em>"Associate with people who are likely to improve you."</em>
You would have to do length times the width or count all the sides.
Answer:
∠HIJ = 57
∠IJH = 57
∠JHI = 66
Step-by-step explanation:
As a much better answer to the other guy:
You first have to find what the sum of the interior angles are. This can be found using the following expression:
<em>( n - 2 ) × 180</em>
Where 'n' is the number of sides of a polygon. Since this is a triangle:
<em>n = 3</em>
Therefore, the sum the interior angles of a triangle is 180°
Returning to the triangle, it's stated that the <u>triangle is isosceles,</u> meaning the ∠HIJ is the same as the ∠IJH (the middle point notating the position of the angle.) So then you have 3 angles with the following expressions:
∠HIJ = 5x + 2
∠IJH = 5x + 2
∠JHI = 3x + 33
Since all of the angles need to add up to 180°, we can smush them all into one big equation:
5x + 2 + 5x + 2 + 3x + 33 = 180
If you simplify everything:
13x + 37 = 180
Subtract 37:
13x = 143
Divide by 13:
x = 11
Now that you have x, plug it in to the equations above!
∠HIJ = 5(11) + 2
∠IJH = 5(11) + 2
∠JHI = 3(11) + 33
Simplify.
∠HIJ = 55 + 2
∠IJH = 55 + 2
∠JHI = 33 + 33
Again.
∠HIJ = 57
∠IJH = 57
∠JHI = 66
There you go!
