Answer:
x = 12
Step-by-step explanation:
- Write in a different way: 2(2x + 8) = 64
- Apply the distributed property, so it now looks like this: 4x + 16 = 64
- Subtract 16 from each side, so it now looks like this: 4x = 48
- Divide each side by 4 to cancel out the 4 next to x. It should now look like this: x = 12
I hope this helps!
Answer:
A, C, and E good luck
Step-by-step explanation:
Given:
The inequalities are:
a) 
b) 
To find:
The solution of inequalities by substituting the given values.
Solution:
a) We have,

After substituting the given values one by one, we get
False statement.
False statement.
True statement.
True statement.
Therefore the solutions of
are
.
b)
We have,

After substituting the given values one by one, we get
True statement.
False statement.
False statement.
False statement.
Therefore, the solution of
is
.
Kim's method of sampling the students in the given scenario is said to; It is not a random survey.
<h3>What is a random sample?</h3>
Random sampling is defined as a sampling technique whereby each sample has an equal probability of being chosen. This means that a sample chosen randomly is meant to be an unbiased representation of the total population.
In this question, we are told that Kim asked the first 50 kids to school in the morning about a question and used their responses to arrive at a conclusion.
Now, Kim's method is not random because it is biased as only those who came earliest were asked.
Read more about Random Survey at;brainly.com/question/251701
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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>