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1 answer:
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Answer:
A. 3
B. 4
C. 1
D. 2
Step-by-step explanation:
Consider all equations:
A.
This is the equation of parabola with vertex at point
The y-intercept is at point
Since
,
the x-intercepts are at points (2,0) and (4,0)
The leading coefficient is 1 > 0, then the parabola opens upwards.
Hence, the graph of this parabola is 3.
B.
This parabola has two x-intercepts at points (6,0) and (-8,0).
The leading coefficient is 1 > 0, then the parabola opens upwards.
The only possible choice is parabola 4.
C.
This parabola has the vertex at point (6,8), opens upwards, therefore does not intersect the x-axis.
The graph of this parabola is 1.
D.
This parabola has two x-intercepts at points (6,0) and (-8,0).
The leading coefficient is -1 > 0, then the parabola opens downwards.
The only possible choice is parabola 2.
Answer:
The triangles ABE and MNP are similar because the three corresponding angles are equal (AAA Criteria)
Step-by-step explanation:
we know that
An isosceles triangle has two equal sides and two equal angles. The two equal angles are called the base angles and the third angle is called the vertex angle
The triangle ABE is an isosceles triangle with the vertex angle m∠ABE equal to
so
m∠BAE=m∠AEB-------> base angles
m∠BAE+m∠AEB+m∠ABE= ------> sum of internal angles of triangle
Find m∠BAE
2m∠BAE=
m∠BAE=
The measure of the angles of triangle ABE are
The triangle MNP is an isosceles triangle with the base angle m∠NMP and m∠NPM equal to
so
m∠MNP+m∠NMP+m∠NPM= ------> sum of internal angles of triangle
Find m∠MNP (vertex angle)
m∠MNP=
m∠MNP=
The measure of the angles of triangle MNP are
therefore
The triangles ABE and MNP are similar because the three corresponding angles are equal (AAA Criteria)