Answer:
As in an equilateral triangle all sides are equal so 9+3x = 5x-5
9+3x = 5x-5
9+5 = 5x-3x
14 = 2x
14/2 = x
7= x
So,As we know that x is 15 so we can substitute the values 9+3x or 5x-5
9+3x
=9+3*7
=30
So, one side of the triangle = 30
Perimeter of an equilateral triangle = 3*side
=3*30 = 90
So, perimeter of the equilateral triangle = 90
Answer:
Quadratic because the y values go up and then down. None of the other options can do that.
Radius is 11cm
diameter is 22cm
X - 1 is inside a cubic root.
The cubic root of a positive number is positive.
The cubic root of zero is zero.
The cubic root of a negative number is negative.
That means that the cubic root of any real number is also a real number.
The domain is all real numbers.
Answer: Choice A.
Answer:
PG ≅ SG (Given)
PT ≅ ST (Given)
GT = GT (Common)
∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom)
Step-by-step explanation:
<u>Given</u>: PG ≅ SG and PT ≅ ST
<u>To Prove</u>: ∠GPT ≅ ∠GST
<u>Proof</u>: PG ≅ SG (Given)
PT ≅ ST (Given)
GT = GT (Common)
∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom).
<u>SSS Congruency Axiom</u>: If three pairs of sides of two triangles are equal in length, then the triangles are congruent.
<u>Congruence</u>: Two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry, i.e., a combination of rigid motions, namely a translation, a rotation, and a reflection. This means that either object can be repositioned and reflected (but not resized) so as to coincide precisely with the other object. Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
