Show that the quadrilateral is a parallelogram.

Mathematics

1 answer:

Novosadov [1.4K]2 years ago

6 0

9514 1404 393

Answer:

opposite sides have the same slope, so it is a parallelogram

Step-by-step explanation:

A parallelogram has opposite sides that are parallel. Here, one pair of opposite sides consists of horizontal lines. Both have zero slope, so are parallel.

The other pair of lines each has a "rise" of 3 units for each "run" of 2 units, so the lines have a slope of 3/2. Both lines have the same slope, so are parallel.

Since opposite sides are parallel, the figure is a parallelogram.

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A kite 100 ft above the ground moves horizontally at a speed of 6 ft/s. At what rate is the angle (in radians) between the strin

arlik [135]

Answer:

0.015 radians per second.

Step-by-step explanation:

They tell us that at the moment the speed would be 6 ft / s, that is, dx / dt = 6 and those who ask us is dθ / dt.

Which we can calculate in the following way:

θ = arc sin 100/200 = pi / 6

Then we have the following equation of the attached image:

x / 100 = cot θ

we derive and we are left:

(1/100) * dx / dt = - (csc ^ 2) * θ * dθ / dt

dθ / dt = 0.01 * dx / dt / (- csc ^ 2 θ)

dθ / dt = 0.01 * 6 / (- csc ^ 2 pi / 6)

dθ / dt = 0.06 / (-2) ^ 2

dθ / dt = -0.015

So there is a decreasing at 0.015 radians per second.

3 0

2 years ago

Can you please help? I know the one I chose is correct.

AleksandrR [38]

I believe you are right :) because they are the same

7 0

2 years ago

Read 2 more answers

Gerardo says that a cube with edges that measure 10 centimeters has a volume that is twice as much as a cube with sides that mea

irga5000 [103]

He is wrong.
The 10 inch cube is bigger than the 5 inch cube by 5 cm in EACH DIRECTION.
So, the 10 inch cube should be twice as big in volume by a factor of 2*2*2
=8
Okay let's see.
5 cm cube volume = 5*5*5 = 125 cc
10 cm cube volume = 10 * 10 * 10 = 1,000 cc

1,000 / 125 = 8

5 0

2 years ago

10 points, doing this one again because I got a wrong answer last time but regardless thank you for trying to help

Alik [6]

Hey ! there

Answer:

Value of missing side i.e. TE is 12 feet

Step-by-step explanation:

In this question we are provided with a right angle triangle having TS - 35 ft and SE - 37 ft . And we are asked to find the missing side that is TE using Pythagorean Theorem .