Hi there!
Let the second angle be represented by x. Now, just use the given information to write expressions for each angle.
Angle 1:
The question says that it is 10 degrees less than the second angle. Therefore, it can be represented by the expression x - 10.
Angle 2:
Represented by x.
Angle 3:
As said in the question, the third angle is 2 times the second angle. This gives us the expression 2 × x, giving us 2x.
Now, take all the expressions and add them up and make them equal to 180 degrees, according to the Triangle Sum Theorem.
x + 2x + x - 10 = 180
4x - 10 = 180
4x = 190
/4 /4
x = 47.5
Therefore, the angle measures are 47.5 degrees, 2(47.5) = 95, and 47.5 - 10 = 37.5 degrees. Hope this helped!
Hey there! I'm happy to help!
When talking about percents, the word "is" usually means equals. Let's use this to solve an equation! We will call our number n. Note that 30% is equal to 0.3 in decimal form because 0.3 is 30% of one! :D
0.3n=45
To solve, we need to isolate the n. To do this, we divide both sides by 0.3 because this cancels out the 0.3 that is being multiplied by n and it shows us what n will then equal.
0.3n÷0.3=45÷0.3
n=150
Therefore, 30% of 150 is 45. Try multiplying 0.3 by 150 and you will get 45!
Have a wonderful day! :D
Answer:
X > 91.
Step-by-step explanation:
The > has a line under hopes this helps!!
Answer:
See the explanation
Step-by-step explanation:
Ball is tossed 24 times
So the total number of outcomes (tosses) = N = 24
The ball lands in Blue section 3 times out of 24 tosses. So it becomes 3/24
The ball lands in Green section 5 times out of 24 tosses. So it becomes 5/24
The ball lands in Red section 12 times out of 24 tosses. So it becomes 12/24
The ball lands in Yellow section 4 times out of 24 tosses. So it becomes 4/24
Now we have to find how many times will the ball most likely land in the yellow section when it’s tossed 200 times. So the total number of outcomes here is N = 200. The favorable outcome here is that the ball lands in Yellow section. So we use the frequency table above for yellow section:
Yellow / Total tosses
4/24 = x/200
4*200 = 24x
800 = 24 x
24 x = 800
x = 800 / 24
x = 33.3
So ball most likely land in the yellow section 33 times when it’s tossed 200 times So it becomes 33/200 = 0.165 or 10.65% probability that ball will land in yellow section.
The answer us 10.40 because you just - 1.05 feet
