Answer:
Area of the parallelogram is approximately 4,456.2 square feet
Step-by-step explanation:
The lengths of the sides of the parallelogram are 65 feet and 87 feet
The measure of the angle between the sides, Y = 52°
The formula for finding the area of a parallelogram is given as follows;
Area of a parallelogram = A·B·sin(Y)
Where;
'A' and 'B' are the length of the parallel sides and 'Y' is the measure of the angle between them
Let 'A' and 'B' represent the 65 feet and the 87 feet respectively, we get;
Area of the parallelogram = 65 ft. × 87 ft. × sin(52°) ≈ 4,456.2 ft.²
Answer:
22
Step-by-step explanation:
Given that:
Let number multiplied by 54 = x
Let output = y
x * 54 = y + 198
x * 45 = y
54x = y + 198 - - - (1)
45x = y - - - (2)
Put y = 45x in (1)
54x = 45x + 198
54x - 45x = 198
9x = 198
x = 22
Number multiplied by 54 is 22
The required expressions are both equations 1 and 2 as shown:

.... 2
Complementary angles are angles that sum up to 90 degrees. For instance, and A and B are complementary if A + B = 90.
According to the question, if two complementary angles have measures of s and t then:

Twice of 's' is expressed as 
If t is less than twice s, this can be expressed as
.... 2
The required expressions are both equations 1 and 2 as shown:

.... 2
Learn more on word problems leading to simultaneous equations here: brainly.com/question/14294864
Answer:
M = -2
Step-by-step explanation:
-17 + 62 = -5 (3M - 3) Distribute -5 into the parentheses and combine like terms
45 = -15M + 15 Subtract 15 from both sides
30 = -15M Divide 15 from both sides
M = -2
Answer:
4
Step-by-step explanation:
the pattern is halfing the umber