The value of x in the equation is x=-44.
The given equation is .
An algebraic expression in mathematics is an expression that's made from variables and constants, together with algebraic operations (addition, subtraction, etc.). Expressions are made of terms.
Firstly, apply the distributive property as a(b+c)=ab+ac and get
Now, rearrange the terms by taking variable terms on the left-hand side and constant terms on the right-hand side as
Further, simplify the above expression by taking L.C.M as
Then, multiply both sides with 4 and get
Furthermore, cross multiply both sides and get
Hence, the value of x in the equation which is given is x=-44.
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Answer:180 degrees
Step-by-step explanation:Let "x" be the measure of the angle the problem is asking for.
"when twice of a angle is added to 45" is the angle (2x+45) degrees.
The problem says that the angle (2x+45) is the supplement to the given angle.
It means that
x + (2x + 45) = 180 degrees. <<<---=== This equation is the exact meaning of the condition.
Simplify and solve this equation for x:
3x + 45 = 180 ====> 3x = 180 - 45 = 135
====> x = 135/3 = 45 degrees.
Answer:
5.8156
Step-by-step explanation:
The division is super long, took me a while to solve on paper, but the answer is 5.8156.
Hope this helped! :)
To determine the answer to this item, we first calculate the z-scores of the given data point through the equation,
z-score = (data point - mean) / standard deviation
For 5:
z-score = (5 - 7) / 1.7 = -1.176
This translates to a percentile of 11.97.
For 10:
z-score = (10 - 7) / 1.7 = 1.76
This translates to a percentile of 96.08.
The difference between the percentiles is 84.11. Thus, 84% of the students sleep between 5 to 10 hours.
Answer:
x = 124
Step-by-step explanation:
x = 124 because of alternate exterior angles