Answer: the equation to determine the value of n is 5n = 105
Step-by-step explanation:
The measure of angle a is n degrees. The measure of angle b is four times angle a. This means that the measure of angle b would be
b = 4n
The measure of angle c is 75 degrees. Since the sum of the interior angles of a quadrilateral is 180 degrees, then the equation to determine the value of n would be
a + b + c = 180
Therefore,
n + 4n + 75 = 180
5n = 180 - 75
5n = 105
n = 105/5
n = 21
Answer:
3≤x≤6
Step-by-step explanation:
2≤3x-7≤11
2+7≤3x-7+7≤11+7
9≤3x≤18
9÷3≤3x÷3≤18÷3
3≤x≤6
Answer: The volume of the grapefruit is approximately 8 times as great as the volume of the lime.
Step-by-step explanation:
You need to use the formula for calculate the volume of a sphere. This is:
Where "r" is the radius.
<u>Volume of the grapefruit</u>
You know that its diameter is 16 centimeters.
Since the radius is half the diameter, you get that its volume is:
<u> Volume of the lime</u>
According to the information given in the exercise, the diameter of the lime is 8 centimeters.
As it was explained above, the radius is half the diameter. Knowing that, you get that volume of the lime is the shown below:
In order to find approximately how many times as great is the volume of theat grapefruit as the volume of that lime, you need to divide the volumes calculated above. Then: