Answer:
18) A: only if you have an additional point not on the line.
19) D: No, because all the points may be on the same line.
Step-by-step explanation:
There are basically 4 ways we can determine a plane and they are;
- When we have three non - collinear points: What this means is that if we have three points that are not on one line, then it means that only one particular plane can pass through those points.
- When we have a line and a point that's not on the line
- When we have two lines that intersect each other.
- When we have two lines that are parallel to each other.
From the four conditions above, we can now answer the question;
18) You can only have a plane if there is an additional point not on the line.
Option A
19) Having just three points may not always be sufficient to have a plane because it's possible that the three points may be on the same line which is not a condition for a plane. Thus, option D is correct.
<h2>
Option C is the correct answer.</h2>
Step-by-step explanation:
Diameter, D = 42 feet
Circumference = πD = π x 42 = 131.95 feet
Number of rotations per minute = 3
Total time = 5 minutes
Total rotations = 5 x 3 = 15
Distance traveled per rotation = 131.95 feet
Distance traveled in 15 rotations = 15 x 131.95 = 1978 feet
Option C is the correct answer.
Answer:
<h2>it's b) F and G</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>let's solve:</h3>
-5 and 5 make
if you add them you will get 0
-5+5
=0
therefore
<h3>it's b</h3>
This is a simple formula:(a-b)*(a+b)= a^2-b^2
And it goes like this for your example: (a-1)*(a+1)=a*a+a-a-1*1=a^2-1^2=a^2-1
Answer: e = 33
Keep referring to the picture to understand which part of the figure I am talking about.
Step-by-step explanation:
So starting from the top triangle, one of the angles are 34 and the triangle looks like an Isosceles (a triangle that has 2 equal angles and sides). So to find the other 2 angles you have to take away the already given angle from 180 (as all angles in a triangle add up to 180 degrees) and divide it by 2. So- 180 - 34 = 146.
146 ÷ 2 = 73- angle of each of the remaining 2 sides.
The left side of that triangle is extended to be part of the quadrilateral (the four sided figure with angle e). So to now solve the top left angle of the quadrilateral which is connected to the triangle you have to takeaway the angle which is part of the triangle from 180 (Angles on a line add to 180) So-
180 - 73 = 107 - angle for the top left part of the quadrilateral.
To find the 3rd angle on the bottom right, you need to solve the angles of the bottom triangle connected to it. Use the same method I have shown for the top triangle as the triangle look like an Isosceles like the other one -
180 - 30 = 150
150 ÷ 2 = 75- angle of each of the remaining 2 sides
Coming back to finding the 3rd angle, you have to use the line at the bottom where you found one of angles now. Use the same angles on the same line rule used before-
180 - 75 = 105- angle for the bottom right of the quadrilateral
You now have all the angles in the quadrilateral except for e which you will find by adding up all the known angles in the quadrilateral and take it away from 360 (all angles in a quadrilateral add to 360) So-
115 + 107 + 105 = 327
360 - 327 = 33
Therefore e = 33
