Hello! Sorry, this took a minute.
All of the x's are on the same line, and they are equal to 180 degrees.
2x+x+3x+x=180
A straight line equals 180.
Combine like terms.
7x=180
Divide both sides by 7.
25.714... round to 25.7
Now, plug that into the angle that is vertical to 2y. (3x)
3(25.7)= 77.1
So, 3x= 77.1 and 2y= 77.1
Plug that in.
2y=77.1
Divide both sides by 2.
y=38.55
Round that up to 38.6.
"D" is the answer.
I hope this helps!
~kaikers
Answer: 12.69 in
Explanation:
Square root of 161 is around 12.69
That means each side of the square is about 12.69 bc l x w = a
and square root of a = side length of square
Answer: (0.5496, 0.5754)
Step-by-step explanation:
The confidence interval for population proportion (p) is given by :-
, where
= Sample proportion , n= sample size , z*= Critical z-value.
Let p be the proportion of all college students who are in favor of banning Hawaiian shirt.
Given, A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts.
i.e. n=4000

z-value for 90% confidence level is 1.645
Now , 90% confidence interval for p would be :


Hence, the required 90% interval = (0.5496, 0.5754)
Answer:
B': (-12,15)
Step-by-step explanation:
Answer:
1/4 divided by 1/2 equals 1/2
Real-world problem:
A constructor official knows that he needs 1/2 sack of cement to produce 10 blocks of concrete for a wall. The official only has 1/4 of the sack left and want to know how many blocks he can produce with this material.
Step-by-step explanation:
Since you know that 1/2 of the sack is needed to make 10 blocks, you can use this information to find the number of blocks that 1/4 of a sack can make. The question you want to answer is:
if
of a sack produces 10 blocks, how may blocks
of a sack can produce?
Using the Rule of Three you can solve

Now you know that 1/4 of a sack can produce 1/2 the number of blocks that 1/2 of the sack can produces, this means that you can produce 5 blocks of concrete.