Answer:
<u> x = 16</u>
Step-by-step explanation:
See the attched figure
We should know that, one of the properties of the rhombus is the diagonals bisect the angles of the rhombus.
Given:
m∠ABC = 84 and m∠ABE = 3x − 6
So, m∠ABE = 0.5 * m∠ABC = 0.5 * 84 = 42
∴ 3x - 6 = 42
Solve for x
3x = 42 + 6 = 48
x = 48/3 = 16
<u>∴ x = 16</u>
Answer:
<h2>y = 2</h2>
Step-by-step explanation:
To find the value of y when x = 8 we must first find the relationship between the two variables.
The statement
y varies directly with variable x is written as
y = kx
where k is the constant of proportionality
when
x = 12
y = 3
Substitute the values into the above formula and solve for k
That's
3 = 12k
Divide both sides by 12

So the formula for the variation is

when
x = 8

we have the final answer as
<h3>y = 2</h3>
Hope this helps you
It is just a dark screen. Upload it again?
Answer:
24 picture frames
Step-by-step explanation:
Since a student takes 1/6 hour to paint a picture frame, so in an hour, the student will paint a total of 6 picture frames. So to find the number of picture frames in 4 hours, you just need to multiply 4*6 to get 24 picture frames.
Answer:
<h2>This value is called the common difference</h2>
Step-by-step explanation:
The common difference is the constant value which is repeatedly added to each term in an arithmetic sequence to obtain the next term, it is basically the difference between consecutive numbers
To find the common difference we can subtract the previous term from the first time or the second to the last term from the last term, the idea of finding the common difference is basically subtracting the previous term form the subsequent term.