Answer:
Step-by-step explanation:
The parabola's are
So
So, the points at which the parabola's intersect each other is 
and 
The three points of the triangle are , and 
Area of a triangle is given by
![A=\dfrac{1}{2}[x_1(y_2-y_3) + x_2(y_3-y_1) + x_3(y_1-y_2)]\\\Rightarrow A=\dfrac{1}{2}[2(5-0)+(-2)(0-5)+0(5-5)]\\\Rightarrow A=10\ \text{sq. units}](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7B1%7D%7B2%7D%5Bx_1%28y_2-y_3%29%20%2B%20x_2%28y_3-y_1%29%20%2B%20x_3%28y_1-y_2%29%5D%5C%5C%5CRightarrow%20A%3D%5Cdfrac%7B1%7D%7B2%7D%5B2%285-0%29%2B%28-2%29%280-5%29%2B0%285-5%29%5D%5C%5C%5CRightarrow%20A%3D10%5C%20%5Ctext%7Bsq.%20units%7D)
Area of the triangle formed is .
Answer:
=36.0
Step-by-step explanation:
We use the sine rule to find the missing sides as follows;
Lets find the missing angle C by using the summation of interior angles in a triangle.
C=180-(44+48)
=88°
Then,
a/Sin A=c/Sin C
25/Sin 44=c/Sin 88
c=(25 Sin 88)/Sin 44
c=35.97
The side c=36.0 to the nearest tenth.
Answer: No
Step-by-step explanation: While he is partly correct, it is not impossible. The odds are 1 in 6, but just because he already rolled it once, doesn’t mean he cannot do it again.
Answer:
angle 1 and angle 3 are congruent
Step-by-step explanation:
Angles supplementary to the same angle are congruent. Here both angles 1 and 3 are supplementary to angle 2, so angles 1 and 3 are congruent.
_____
If you like, you can get there algebraically:
m∠1 + m∠2 = 180
m∠3 + m∠2 = 180
Subtract the second equation from the first:
(m∠1 + m∠2) - (m∠3 + m∠2) = (180) - (180)
m∠1 -m∠3 = 0 . . . . simplify
m∠1 = m∠3 . . . . . . add m∠3
When angle measures are the same, the angles are congruent.
∠1 ≅ ∠3
