2.
We have a transversal across parallel lines so we get the usual array of congruent and supplementary angles. We just have to figure out which is which, and the diagram, even though not to scale, makes it pretty obvious.
Angle x isn't the same as the 40° angle so it must be its supplement.
Answer: C 140°
3.
r=1.2, h=2.9, V = (1/3) πr²h
Nothing hard here, we just plug in the numbers,
V = (1/3) π (1.2)² (2.9) ≈ 4.37310
Answer: B. 4.4 cubic inches
4.
Dilation by .5 makes a similar triangle, and reflection is an isomorphism (i.e. it doesn't change the size or shape) so the answer is
Answer: B similar not congruent
5.
The corresponding interior and exterior angles of a triangle form a linear pair, so supplementary angles. x=180-110 = 70°
Answer: A 70°
Answer:
I think it is b I’m not quite sure though. Sorry if wrong…
Step-by-step explanation:
Answer:
90 minutes
Step-by-step explanation:
an hour is 60 minutes+ another 30 minutes= 90
First of all, if you look at the question, you will notice that the two numbers involved are the same (that is; 4 and 4). However, there are two ways to solve this. But the easiest way is by using indices. In indices, whenever you are multiplying two numbers that are the same, the powers are added. And whenever you are dividing two numbers that are the same, the powers are subtracted. This is due to the fact that in indices, addition is related to multiplication and subtraction is related to division. An example is;
A⁵ × A³ = A⁽⁵⁺³⁾ =A⁸
A⁵ ÷ A³ = A⁽⁵⁻³⁾ =A²
Anyway, over to the question now;
4⁹÷4³
4⁽⁹⁻³⁾
4⁽⁶⁾
Therefore; 4×4×4×4×4×4=4096
So the answer is 4096. However, if you calculate 4⁹÷4³ on a calculator, you will still get 4096. Hope i helped. Have a nice day
