1a) False. A square is never a trapezoid. A trapezoid has only one pair of parallel sides while the other set of opposite sides are not parallel. Contrast this with a square which has 2 pairs of parallel opposite sides.
1b) False. A rhombus is only a rectangle when the figure is also a square. A square is essentially a rhombus and a rectangle at the same time. If you had a Venn Diagram, then the circle region "rectangle" and the circle region "rhombus" overlap to form the region for "square". If the statement said "sometimes" instead of "always", then the statement would be true.
1c) False. Any rhombus is a parallelogram. This can be proven by dividing up the rhombus into triangles, and then proving the triangles to be congruent (using SSS), then you use CPCTC to show that the alternate interior angles are congruent. Finally, this would lead to the pairs of opposite sides being parallel through the converse of the alternate interior angle theorem. Changing the "never" to "always" will make the original statement to be true. Keep in mind that not all parallelograms are a rhombus.
Which of the following lists shows all the factors of 36? 2, 3, 4, 6, 9, 12, 18 1, 2, 3, 4, 9, 12, 18, 36 1, 2, 3, 4, 6, 9, 12,
MAVERICK [17]
<span>1, 2, 3, 4, 6, 9, 12, 18, 36
36 = 6*6 = 2*2*3*3
if you list out all the combinations of those factors, you'll get 7 factors: </span><span>1, 2, 3, 4, 6, 9, 12, 18, 36</span>
Hello! First we should note that the shape of the figure can be broken down into two rectangular prisms, so that the expression will look like:
Volume = (w • h • l) vertical rectangular prism + (w •h • l) horizontal rectangular prism
Thus Volume = (7 • 3 • 3) + (9 • 3 • 4)
Answer: 239
Step-by-step explanation:
![g(7)=2(7)-5=9\\\\f[g(7)]=f(9)=3(9)^2 - 4=239](https://tex.z-dn.net/?f=g%287%29%3D2%287%29-5%3D9%5C%5C%5C%5Cf%5Bg%287%29%5D%3Df%289%29%3D3%289%29%5E2%20-%204%3D239)
Answer:If I’m correct I believe seven you cars for 16.45 would be better
Step-by-step explanation:
Since three cars cost 7.50 you would divide 7.50 to get the cost for each car which would give you 2.50 and since seven cars cost 16.45 you would divide 16.45 by 7 to get the cost of each car which would come out to 2.35 making it a better buy
