Answer:
x = 41.2
Step-by-step explanation:
Assuming the dotted line at the top is parallel to the segment with length x, it follows from the alternate interior angles theorem that the interior angle of the triangle (marked in diagram) is also 27º.
Using SOH-CAH-TOA, we get that tan(27º) = 21/x, so x = 21/tan(27º), which is approximately equal to 41.2.
Answer:
-2 ≤ x ≤ 6
Step-by-step explanation:
The first is ...
6 ≥ x
and it can also be written as ...
x ≤ 6
The second is
-2 ≤ x
The two inequalities can be combined into one compound inequality:
-2 ≤ x ≤ 6
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<em>Comment on this answer</em>
I prefer the answer in this form because it puts the parts of the expression in the same order that they appear on a number line. It can also be written as ...
6 ≥ x ≥ -2
Answer:
30 degrees
Step-by-step explanation:
add the two together then subtract 180
Do parenthesis first (4)
Then, do the division 8/2 = 4
Then multiply 4 and 4 which will be 16
Add 6 to 16 and you get 22
Answer:
W = 500 + 25x
Step-by-step explanation:
Jeremy’s pay started at $500 per week. Every year his pay will increase by $25 per week.
Now, after x years his pay per week will increase by $(25x).
Therefore, if we model the weekly payment of Jeremy by an equation, then it will be given by
W = 500 + 25x
where W is his weekly payment after x years. (Answer)