I first plotted the three points and from from their position it was clear which pairs to join to start a rectangle.
At this point you need to check to make sure the angle at B is a right angle. Find the slope of the line segments AB and BC and check that the product of the slopes is -1.
From the diagram you can now see where the fourth point D has to be. If AB and CD are parallel then D must be 3 units to the left of C and 2 units above C. Find the coordinates of D and then check by finding the slopes of CD and DA and showing that the angle at D is a right angle.
I hope this helps
Answer:
8 23/40
Step-by-step explanation:
8 and 5 have 40 in common. To get from 8 to 40 you need to multiply by 5. You have to do the same to the top and bottom numbers in the fraction. 3/8 turns into 15/40. To get from 5 to 40, you need to multiply by 8. Again, u have to do the same for the top and bottom. 1/5 turns into 8/40. 15/40 + 8/40 = 23/40. Add the whole numbers, 6 and 2, to get 8. So the answer in 8 23/40. Hope this helps!
Answer:
Step-by-step explanation:
1)
Tri. prism:
B = base = 1/2 a c
base = 1/2 * 6 * 6 = 18
volume = Bh
v = 18*4
v = 72
Rec. prism
volume = 4*6*6
v = 144
total volume = 144+72
vt = 212
2)
top rec. = 2*3*5=30
bot rec. = 4*5*6=120
vt = 30 + 120
vt = 150
Answer:
Step-by-step explanation:
Area = πr^2
r = diameter/2
r = 13/2
Area= 22/7 × (13/2)^2
= 22/7 × 169/4
Area = 132.79sqaure inch
Answer:
Step-by-step explanation:
Theorem: In the right triangle the leg is the geometric mean of the hypotenuse and the segment of the hypotenuse adjacent to the leg.
Based on the theorem above,
