A doctor observes a graph that shows the electrical activity (in volts) of the heart of a patient over a period of time (in seco
nds). Each local maximum of 0.004 volts corresponds to one heartbeat. The doctor needs to calculate the heart rate of the patient in beats per minute. What is the heart rate of this patient?
____ beats per minute
____ beats per minute
2 answers:
You might be interested in
Answer:
Please check the attached figure!
Step-by-step explanation:
Part a)
Point A is located at the x-coordinate x=-4 and y-coordinate y=1.
Hence, the coordinates of point A = (-4, 1)
Part b)
Point B(3, -2) has been plotted and is shown in the attached figure.
It is clear from the attached diagram that point B is located at the x-coordinate x=3 and y-coordinate y=-2. Hence, the coordinates of point B = (3, -2)
Part C)
Point C has the same x-coordinate as point A i.e. x=-4 and the same y-coordinate as point B i.e. y=-2.
Hence, the coordinates of point C = (-4, -2). Point C is also plotted as shown in the diagram.
Answer and Step-by-step explanation: The triangles are plotted and shown in the attachment.
SAS Similarity Theorem is by definition: if two sides in one triangle are proportional to two sides of another triangle and the angles formed by those sides in each triangle is congruent, the triangles are similar.
For the triangles on the grid, we know that ΔJKL and ΔJMN have a congruent angle in J as shown in the image. To prove they are similar, we find the slope of sides KL and MN:
<u>Slope of KL</u>:
slope =
slope =
slope = -1
<u>Slope of MN</u>:
slope =
slope =
slope = -1
Since the slopes of KL and MN are the <u>same</u> and the angle is <u>congruent</u>, we can conclude that ΔJKL~ΔJMN.
