Answer:
CO
Step-by-step explanation:
Conditional: If p, then q.
Converse: If q, then p.
Conditional: If the measure of an angle is 90 degrees, then it is a right angle.
If p, then q.
p = the measure of an angle is 90 degrees
q = it is a right angle
Converse:
If q, then p.
If it is a right angle, then the measure of the angle is 90 degrees.
Answer: CO
Answer:
The measure of the angle ABD is:
m∠ABD = 122°
Step-by-step explanation:
Given
m∠ABC = 84°
m∠CBD = 38°
To determine
Find m∠ABD
The given diagram shows that m∠ABD is the sum of m∠ABC and m∠CBD.
In other words,
m∠ABD = m∠ABC + m∠CBD
substituting m∠ABC = 84° and m∠CBD = 38°
m∠ABD = 84° + 38°
m∠ABD = 122°
Therefore, the measure of the angle ABD is:
m∠ABD = 122°
Answer:

Step-by-step explanation:
we know that

Is the equation of a vertical parabola written in vertex form
where
(h,k) is the vertex
a is the leading coefficient
In this problem we have
The vertex is the point (-1,4)
so

substitute

Find the value of a
we have the ordered pair (0,3)
substitute the value of x and the value of y in the quadratic equation and solve for a


therefore

Answer:
21
Step-by-step explanation:
7+7+7=21