Answer:
See proof below
Step-by-step explanation:
An equivalence relation R satisfies
- Reflexivity: for all x on the underlying set in which R is defined, (x,x)∈R, or xRx.
- Symmetry: For all x,y, if xRy then yRx.
- Transitivity: For all x,y,z, If xRy and yRz then xRz.
Let's check these properties: Let x,y,z be bit strings of length three or more
The first 3 bits of x are, of course, the same 3 bits of x, hence xRx.
If xRy, then then the 1st, 2nd and 3rd bits of x are the 1st, 2nd and 3rd bits of y respectively. Then y agrees with x on its first third bits (by symmetry of equality), hence yRx.
If xRy and yRz, x agrees with y on its first 3 bits and y agrees with z in its first 3 bits. Therefore x agrees with z in its first 3 bits (by transitivity of equality), hence xRz.
Answer:
∠L = 43°
∠M = 121°
∠N = 16°
Step-by-step explanation:
<u>Start by setting all sides equal to 180</u>
3x - 5 + 7x + 9 + x = 180
<u>Add like terms</u>
11x + 4 = 180
<u>Solve for x</u>
11x + 4 = 180
- 4 - 4
11x = 176
/ 11 /11
x = 16
<u>Now, plug in 16 for all instances of x on the triangle and solve.</u>
∠L = 43°
∠M = 121°
∠N = 16°
Answer:
The answer is
Step-by-step explanation:
To find an equation of a line when given the slope and a point we use the formula
From the question we have
We have the final answer as
<h3>y = -2x</h3>
Hope this helps you
Answer:
A character is offered five different jobs. They all include an hourly wage, as well as a set weekly base pay. One example is a job that pays $8.50 an hour, plus an additional $25 bonus for the week. (Weekly base pay is what you automatically get paid for working the entire week. A bonus is money you earn in addition to the weekly base pay.) Story Starter 2: A character is searching for the best cell phone plan to buy. One plan costs $25 a month, plus $0.89 per minute used. Story Starter 3: A character is trying to decide which cab to choose from the five available. All the cabs have different rates per mile. They also charge different flat rates in addition to the rates per mile. One cab is offering a rate of $0.75 per mile, plus a flat fee of $25.
Step-by-step explanation:
The seats must be arranged in a 38 by 39 arrangement to have the minimum amount of seats used.
You can find this by finding the square root of 1450, which is 38.0788655293.
