This is the leineae making it a because it’s cubic
The ΔABR ≅ ΔACR are congruent by SAS theorem
Option D is the correct answer.
The missing diagram is attched with the answer.
<h3>What is a Triangle ?</h3>
A triangle is a polygon with three sides , three vertices and three angles.
SAS will be used to prove the congruence of ΔABR ≅ ΔACR
In both the triangle we have a common side , AR
AB = AC (given)
∠ B A R = ∠R A C ( given equal)
So as the two side and the included angle is equal
Therefore the ΔABR ≅ ΔACR are congruent by SAS theorem
Option D is the correct answer.
To know more about Triangle
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I think the answer should be 12.
The correct question is
<span>
Penelope determined the solutions of the quadratic function by completing the square.f(x) = 4x² + 8x + 1
–1 = 4x² + 8x
–1 = 4(x² + 2x)
–1 + 1 = 4(x² + 2x + 1)
0 = 4(x + 2)²
0 = (x + 2)²
0 = x + 2
–2 = x
What error did Penelope make in her work?
we have that
</span>f(x) = 4x² + 8x + 1
to find the solutions of the quadratic function
let
f(x)=0
4x² + 8x + 1=0
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(4x² + 8x)=-1
Factor the
leading coefficient
4*(x² + 2x)=-1
Complete the square Remember to balance the equation
by adding the same constants to each side.
4*(x² + 2x+1)=-1+4 --------> ( added 4 to both sides)
Rewrite as perfect squares
4*(x+1)²=3
(x+1)²=3/4--------> (+/-)[x+1]=√3/2
(+)[x+1]=√3/2---> x1=(√3/2)-1----> x1=(√3-2)/2
(-)[x+1]=√3/2----> x2=(-2-√3)/2
therefore
the answer is
<span>
Penelope should have added 4 to both sides instead of adding 1.</span>
