Answer:
Q= 114°
R= 37°
P= 29°
x= 37
Step-by-step explanation:
x + x-8 + 3x +3 = 180
5x -5 = 180
5x = 175
x= 37
R = x = 37°
p= x-8 = 37-8 = 29°
Q = 3x+3= 3×37+3 = 114°
Answer:
36 minutes
Step-by-step explanation:
Let the productivity of slower computer is x bits/min
That means Slower computer in 45 minutes sends x*45 bits= company's email
Let the productivity of faster computer is y bits/min
That means that working together slower and faster computers send
x*20+y*20= company's email or
x*20+y*20=x*45
x*25=y*20
y/x=25/20= 1,25
That means that faster computer sends the mails 1.25 times faster than slower computer
So faster computer will need in 1.25 times lees time than slower computer to do this job
45:1.25 =36 min
Answer:
-21 < 3x < -6
OR -6 > 3x > -21
Step-by-step explanation:
Take a part each section of the word form. Translate each section into algebraic form (numbers and symbols) and put the sections back together.
"Three times x": 3x A number and variable together multiply
"is less than -6": < -6
"and greater than -21": > -21
When writing that a number is > or <, you can also write the number on the other side, change the symbol, and it will mean the same thing.
< -6 is the same as -6 >
> -21 is the same as -21 <
<u>The number remains on the same open or closed side of the symbol.</u>
The problem tells use that "3x" is between -21 and -6. Put the sections back together, but write 3x in the middle.
-21 < 3x < -6
You can also write:
-6 > 3x > -21
You can write them either way, but some teachers prefer smaller number to bigger number from left to right.
Answer:
160 degrees
Step-by-step explanation:
A polygon with 18 sides has 18 interior angles. Therefore, to find the measure of one of these angles, divide the sum by 18. Answer: Each angle is 160 degrees.
Answer:
The money earned increases by $15 for each hour worked.
Step-by-step explanation:
Simply find the slope by using the formula:
m = y2 - y1 / x2 - x1
m = 165 - 105 / 9 - 5
m = 60 / 4
m = 15