In a 30 - 60 - 90 triangle the side opposite the hypotenuse is 1/2 the hypotenuse and which will be the shorter side. Read this over a couple of times till you realize that (x + 12)/2 is the shortest side.
[(x + 12) / 2]^2 + x^2 = (x + 12)^2 subtract [(x + 12)/2]^2 from both sides.
x^2 = (x +12)^2 - [ (x +12)/2]^2
x^2 = (x + 12)^2 [ 1 - (1/2)^2] You were given this as a question in school? It seems awfully hard.
x^2 = (x + 12)^2 [3/4]
4x^2 = 3*(x^2 + 24x + 144)
4x^2 = 3x^2 + 72x + 432
x^2 - 72x - 432 = 0 This is a quadratic, do you know what they are?
The solution to this comes to x = 77.56
I don't think I made a mistake, but it is sure possible.Check the numbers and my method.
Answer:
Option B) Acute
Step-by-step explanation:
we know that
if a triangle contains an obtuse angle, then the other two angles must be acute.
<em><u>Verify</u></em>
The sum of the interior angles of a triangle must be equal to 180 degrees
in the triangle of the figure
113°+15°+x°=180°
Solve for x
118°+x°=180°
x=180°-118°=62°
62° < 90°
therefore
The angle x is an acute angle
Answer: 4
Step-by-step explanation:
(g*h)(5) = 4
Firstly, h(5) = 5 - 7 = -2
Then, evaluate g(-2) = (-2)^2 = 4
Let's solve your equation step-by-step.<span><span><span><span> x2</span>+<span>5x</span></span>−6</span>=0</span><span />
<span>
</span>Step 1: Factor left side of equation.<span><span><span> (<span>x−1</span>)</span><span>(<span>x+6</span>)</span></span>=0</span>
<span /><span>
</span>Step 2: Set factors equal to 0.<span><span><span> x−1</span>=<span><span><span><span><span>0</span> or </span></span>x</span>+6</span></span>=0</span><span>
</span><span>
</span><span><span>x=<span><span><span><span>1</span> or </span></span>x</span></span>=<span>−<span>6</span></span></span>
Answer is 49/81, or (7/9)²
step by step in the pic below