Answer:
The first option is correct: Angle 2 through 5
Step-by-step explanation:
Both angles 2 and 5 are directly vertical or opposite to each other and are the only angles that are proportionate/equal sizes.
The other three options are incorrect because angles 4 and 3 are not the same equal value and are right next to each other making them not vertically across.
angles 1 and 5 are close to being vertical but are not the same size as angle 1 is much smaller than angle 5.
angles 6 and 1 are next to each other making them not vertically to each other and angle 6 is much larger than angle 1.
the correct answer is angles 2 and 5, the first option.
Answer:
the volume of the right cylinder is 1.8 times the volume of the pyramid
Step-by-step explanation:
The volume of a pyramid is

where the height of the pyramid is 5


On the other hand, the volume of a right cylinder is
V = BH
where the height of the right cylinder = 3 units
V = 3 B units³
Since we know that the cross-sectional areas are congruent, comparing the two-volume, we have the ratio of their volumes to be:




Hence, the volume of the right cylinder is 1.8 times the volume of the pyramid
Answer:
options are 3 and 4
Step-by-step explanation:
The difference of squares is defined as In option 1,
It can be written as
It is the sum of squares, therefore the option 1 is incorrect.
In option 2,
The number 40 is not a complete square of any number, therefore option 2 is incorrect.
In option 3,
It can be rewritten as
It is the difference of squares, therefore option 3 is correct.
In option 4,
It can be rewritten as
It is the difference of squares, therefore option 4 is correct.
have a good Day!
Answer:
Step-by-step explanation:
The way to approach this that makes the most sense to a student would be to find out how far from the house the ladder currently is, then add 3 feet to that and do the problem all over again. This is right triangle stuff...Pythagorean's Theorem in particular. The ladder is the hypotenuse, 52 feet long. The height of the rectangle is the distance the ladder is up the side o the house, 48 feet. We plug those into Pythagorean's Theorem and solve for the distance the ladder is from the house:
and
and
so
x = 20. Now if we add the 3 feet that the ladder was pulled away from house, the distance from the base of the ladder to the house is 23 feet, the ladder is still 52 feet long, but what's different is the height of the ladder up the side of the house, our new x:
and
and
so
x = 46.6 feet
Answer:
Step-by-step explanation:
If the point represents decimal, the position of number 8 is
hundredth.
But if represents Thousands the position of number 8 is
tens