Refer to the attached image. If we draw a line parallel to segment BC, and this line goes through point D, then we'll form the new point E. Point E is on segment AB.
The parallelogram EBCD parallelogram forms. In fact, this figure is actually a rectangle due to the right (90 degree) angles. By definition, the opposite sides are parallel. Consequently, the opposite sides are congruent.
So,
BC = ED = 24
EB = CD = 4
AE+EB = AB
AE+4 = 5
AE = 1
Note how triangle AED is a right triangle with the right angle at angle E.
We can use the pythagorean theorem to find x
a^2 + b^2 = c^2
1^2 + 24^2 = c^2
1 + 576 = c^2
577 = c^2
c^2 = 577
c = sqrt(577)
c = 24.0208
If we round to the nearest tenth, then we get
24.0 which is the final answer (so the answer is choice C)Note: this is misleading as this implies that the hypotenuse is the same length as the leg, which is not the case. So this is one drawback to rounding.
From the figure the coordinates of A are:
(-8,-4), (-6,-3), (-4,-5)
The coordinates of A' are: (-4,-6),(6,-5),(8,-7)
subtracting 2 corresponding points we get:
[(4--8),(-6--4)]
=(12,-2)
this means that the image has been translated 12 units to the right and 2 units down.
Answer:
<span>a translation 12 units right and 2 units down.</span>
Hi!
For this question, you want to find the volume of each aquarium. To find volume, just multiply all the dimensions dogether.
For the small aquarium: 3 * 1.5 * 2 = 9 feet cubed
For the large aquarium: 6 * 3 * 4 = 72 feet cubed
Therefore, no, he is not correct, as the large aquarium holds 8 times as much water as the small one. Option D is correct.
If you would like a faster way to do this, if you look at the two dimensions, you'll see each dimension for the large aquarium is two times the respective dimensions of the small one. Since there are three dimensions, and each is two times larger, you can just do 2 * 2 * 2 to get 8 times, as the dimensions are all multiplied with one another.
Hope this helped!
Yes it is because it’s parallel and it appear to be correct
In parallelogram LMNO,
Since line LM || line QN, same side interior angles L and O will be supplementary angles.
i.e, angle L + angle O = 180
=> x+40 + 3x = 180
=> 3x + x + 40 = 180
=> 4x + 40 = 180
=> 4x = 180-40
=> x = 140/4
=> x = 35
now,
angle O = (3x)°
= (3 × 35)°
= 105°