Answer:
Step-by-step explanation:
Given
Required
Determine the Area
Area is calculated as follows
Substitute values for Length and Width
Convert mixed fraction
Hence, the area is
Answer: Vertical line x = 1
<u>Step-by-step explanation:</u>
(1, 1) (1, 2) (1, 3) (1, 4)
Notice that the x-value for each coordinate is 1.
The line is a vertical line (up & down) through x = 1
Any quadrilateral which can be inscribed in a circle, is called a cyclic quadrilateral.
The main theorem about these quadrilaterals is the following:
In any cyclic quadrilateral, the sum of the measures of the opposite angles is 180°.
This means, m(∠S)+m(∠Q) =180°,
thus
(7x-2)+(5x+14)=180
12x+12=180
12x=168
x=168/12=14
Thus the measures of angles Q and S are respectively:
7x-2 = 7*14-2=96 (degrees) and
5x+14=5*14+14=6*14=84 (degrees)
Answer: D
When you estimate, you round each number, the add.
We round them to
700+620, which is 1320
So our non estimated answer is 1323
But our estimated answer is 1320
There are many ways to solve number 5 as it is just an reduce/enlargement of equidistant fractions
The first method that came up to my mind is just dividing denominators.
For A) you can do 72 divided by 18 which would give you 4. Then you can divide the given numerator with the answer you got from dividing the denominators. This would be 8 divided by 4 which would give you two. This means that 2/18 is equal to 8/72. You can check by simplifying the fraction. Both 2/18 and 8/72 equal 9 when simplified, therefore correct.
You can use this method for b, either use a calculator because of the decimals or just remove the decimals and replace them later. Make sure when you use this method, you are always dividing the bigger number. So in B you would do 40.3 divided by 12.4
