Answer:
x = 40
Step-by-step explanation:
Here's a fun fact, all of those angles actually add up to 360 degrees!
How do we know this? Well if you were to draw a small arc between each of the lines, you would see that the arc would end up making a circle. And remember, circles have 360 degrees!
Now we can do some basic algebra. Add up all the angles and set that equal to 360.
(2x) + (x) + (3x + 20) + (2x+20) = 360.
8x + 40 = 360
8x = 320
x = 40
Hope this helped!
Answer:
It will take her 10.5 hours to read the book
Step-by-step explanation:
She averages 16 pages every 30 minutes. If you take 336 and divide it by 16, you get 21 hours. But since she is reading 16 pages every half hour, that wouldn be correct. If it is asking how many hours it will take her to read the book, you have to take 16 and multiply it by 2. Then you get 32. Then, do the equation again. 336 divided by 32 is 10.5. So, if she reads the entire book in one go, it will take her 10 and a half hours to read the entire book, or 10.5.
Answer:
B=3.6h
Step-by-step explanation:
I had the same question on my hw and I guessed that and got it right so
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for A
A = 180° - (90 + 48)° = 180° - 138° = 42°
----------------------------------------------------------
tan48° =
= 
Multiply both sides by a
a × tan48° = 18 ( divide both sides by tan48° )
a =
≈ 16.2 ( to the nearest tenth )
-----------------------------------------------------------
sin48° =
= 
Multiply both sides by c
c × sin48° = 18 ( divide both sides by sin48° )
c =
≈ 24.2 ( to the nearest tenth )
Answer:
B
Step-by-step explanation:
To solve for x, we have to get x by itself. To do this, perform the opposite of what is being done to the equation.
5x+14=k
First, subtract 14 from both sides, because 14 is being added on to 5x. Subtraction is the opposite of addition.
5x+14-14=k-14
5x=k-14
Now, divide both sides by 5, because 5 and x are being multiplied. Division is the opposite of multiplication.
5x/5=k-14/5
x=k-14/5
So, the correct answer is choice B