Tic is an isosceles triangle with a vertex angle I. if the angle of I is 70. find the measure of t.
2 answers:
Answer:
∠T=55°
Step-by-step explanation:
Given: ΔTIC is an isosceles triangle with a vertex angle I
∠TIC = 70°
By definition of isosceles triangle, two sides are equal
referring to the figure, we can see that TI=IC
this implies ∠ITC = ∠ICT= x (let)
With angle sum property of triangle, sum of all the angles of triangle is 180°
therefore, ∠TIC+∠ICT+∠ITC=180°
⇒x+x+70=180°
⇒2x=110°
⇒x=55°
hence, measure of ∠T=∠C=55°
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Answer:
P could be located at either -4 or 12
Step-by-step explanation:
If PQ has a measure of 8 units, and Q is located at 4, then P and Q should be a distance of 8 units apart, therefore:
4 + 8 = 12 and
4 - 8 = -4
PART A
The equation of the parabola in vertex form is given by the formula,
where
is the vertex of the parabola.
We substitute these values to obtain,
The point, (3,6) lies on the parabola.
It must therefore satisfy its equation.
Hence the equation of the parabola in vertex form is
PART B
To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.
This implies that
We expand to obtain,
This will give us,
This equation is now in the form,
where
This is the standard form
The equation of the parabola in vertex form is given by the formula,
where
is the vertex of the parabola.
We substitute these values to obtain,
The point, (3,6) lies on the parabola.
It must therefore satisfy its equation.
Hence the equation of the parabola in vertex form is
PART B
To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.
This implies that
We expand to obtain,
This will give us,
This equation is now in the form,
where
This is the standard form