Answer:
3rd option: 60 degrees
Step-by-step explanation:
We can see in the diagram that the angle on C is a supplementary angle, which means that the sum of 135 and internal angle will be equal to 180 degrees.
Let x be the internal angle,
Then
x+135 = 180
x = 180-135
x = 45 degrees
So now we know that two interior angles of the triangle.
Also we know that sum of all internal angles of triangle is 180 degrees.
Using the same postulate:
A+B+C = 180
75 + B + 45 = 180
120+B = 180
B = 180 - 120
B = 60 degrees
So,
third option is the correct answer ..
Answer:
B (√6)/4
Step-by-step explanation:
The smallest multiplier that will make the denominator of the fraction into a perfect square is 2, so you have ...

_____
Answer choice D is also a correct rationalization of the denominator, but is not simplified as far as it can be. √24 = 2√6, so a factor of 2 can be cancelled from numerator and denominator, giving answer choice B.
Answer:
D. 5/4
Step-by-step explanation:
A. 5.4 can't be 'cause the shade did not reach 5 on number line.
B. 5 - 4 = 1 can'e be 'cause it pass 1.
C. 4 / 5 = 0.8 can't be 'cause its less than the shade.
D. 5 / 4 = 1.25 correct
Step-by-step explanation:
Let's make the number we're finding to be
. So, it says that it will be divided by 4 and then added by 12 if we want this in algebraic expression it will be
. It's also telling us that that expression is the same thing as our number divided by 3 and subtracted by 5. If we want an expression out of it it well be
. Since they are the same, we have the equation below.

All we have to do now is to find
.

<h3>Answer:</h3>
Our number must be
. I think