Answer:
83 is the measure of x.
Step-by-step explanation:
A triangle is equal to 180 degrees. So 180 - 53 - 44 = 83.
Answer:
5/6−1/9=13/18
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(5/6×3/3)−(1/9×2/2)=?
Complete the multiplication and the equation becomes
15/18−2/18=?
The two fractions now have like denominators so you can subtract the numerators.
Then:
15−2/18=13/18
This fraction cannot be reduced.
Therefore:
5/6−1/9=13/18
We can find a formula for nth term of the given sequence as follows:
1, 5, 12, 22, 35
The 1st differences between terms:
4, 7, 10, 13
The 2nd differences :
3, 3, 3
Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form: 
, where c is a constant. The coefficients a, b, and the constant c can be found.
We can form the following 3 equations with 3 unknowns a, b, c:
Solving for a, b, c, we get:
a = 3/2, b = -1/2, c = 0
Therefore, the nth term of the given sequence is:
Answer:
L = 38/W
Step-by-step explanation:
The area of a rectangle is computed by multiplying length by width. For length L and width W in inches, your rectangle has area ...
A = LW
38 = LW
Then the length can be found by dividing the equation by W:
L = 38/W
