Answer:
y = 4
x = 12
Step-by-step explanation:
Because the lines in the parallelogram are intersecting perpendicularly, each line is equal to the opposite line.
For example,
6y + 1 = 4y + 9
and
2x - 5 = x + 7
So, now we just solve both of those equations.
We'll start with the first one :)
6y + 1 = 4y + 9
6y + 1 - 4y = 4y + 9 = 4y
2y + 1 = 9
2y + 1 - 1 = 9 - 1
2y = 8
y = 4
now onto the second equation :)
2x - 5 = x + 7
2x - 5 - x = x + 7 - x
x - 5 = 7
x - 5 + 5 = 7 + 5
x = 12
Answer:
356.93sq. cm
Step-by-step explanation:
Area of the composite figure = Area of rectangle + Area of semicircle
Area of rectangle = length * wiidth
Area of rectangle = 14cm * 20cm
Area of rectangle = 280 sq. cm
Area of semicircle = πr²/2
Area of semicircle = 3.14(7²)/2
Area of semicircle = 3.14 * 49/2
Area of semicircle = 76.93 sq. cm
Hence the area of the figure = 280 + 76.93
Hence the area of the figure = 356.93sq. cm
Answer:
A two-sided alternative hypothesis would be more appropriate in this case
Step-by-step explanation:
A one-sided hypothesis is one that asserts that a given parameter is either smaller than the null hypothesis value or larger than the value presented by the null hypothesis.
However in a two sided hypothesis, the claim is made that a given parameter is not equal to the parameter given in the null hypothesis, such that the parameter can be either larger than than or lesser than the value of the null hypothesis and still satisfy the condition of the hypothesis
Therefore, given for that for there to be a conclusion, the test should be weather the number of people that think of an odd number are equal to the number of people that think of an even number, or weather the number of people that think of an odd number are not equal to the number of people that think of an even number
Therefore, a two-sided hypothesis should be used since the claim (that the numbers are not equal) is not equal to the value of the parameter in the null hypothesis (that the numbers are equal)
The inverse of the function is
Given the function
We are to find its inverse
Step 1: Ley y = f(x)
Step 2: Replace y with x
Step 3: Make y the subject of the formula
Step 4: Take the square root of both sides
This shows that the inverse of the function is
Learn more here: brainly.com/question/8691744
Answer: 4 muffins times 3 equals 12 so 3.10 times 3 equals $9.30