Simple Proof:
a) In the image, we know that ABCD is a parallelogram and that means opposite angel measures should be the same. We know that angel DCB is made up by angel 1 and 2, and angel DAB and DCB are equal and angel DAB is made up by angel 1 and <em>x</em>. So now we can conclude that angel <em>x</em> is equal to angel 2.
b) According to the definitions of a parallelogram, opposite angel measures have to be the same, while AECF have angle 1 to angel 1 and angel 2 to angel 1. We can conclude that AECF is <u>NOT</u> a parallelogram. (Sorry, you didn't give me the full question so some information remains unclear. )
Red + green = 24; (1)
red + blue = 10; (2)
blue + green = 20; (3)
(1) - (2):
green - blue = 14; (4)
(3) + (4):
2 * green = 34;
green = 17;
Simple substitution gives:
blue = 3;
red = 7;
Answer:
7 worms
Step-by-step explanation:
Let each can have x worms, so we can say
Luis has 4x worms
Diego has 3x + 2 worms
Cecil has 2x worms
Since, in total they have 65 worms, we can write and equation and solve:
4x + 3x + 2 + 2x = 65
9x + 2 = 65
9x = 63
x = 63/9
x = 7
There are 7 worms in each can.
Answer:
D
Step-by-step explanation:
The linear velocity of the Ferris wheel in inches per second is 18.9 inches/second.
<h3>What is the speed of an object?</h3>
The speed of an object is the ratio of the total distance covered by the object and the total time taken by the object to complete that distance.
Here, the radius of the Ferris wheel is (r) = 30 feet.
The circumference of the wheel is
C= 2πr
C= 2 × π × 30 feet
C= 60π feet
Here, the Ferris wheel completes 7 revolutions.
Therefore, it covers the linear distance of
D= 7 × circumference of the wheel
D= 7 × 60π feet
D= 420π feet
Now, the Ferris wheel took 14 minutes to complete 420π feet.
Therefore, the speed of the wheel is
S= (420π/14) feet/minute
S= 30π feet/minute
S= (30π × 12)/60 inches/second
S= 6π inches/second
S= 18.9 inches/second
Therefore the linear velocity of the object will be 18.9 inches/second
Learn more about the speed of an object here: brainly.com/question/16123156
#SPJ1