Frederick is working on a number puzzle and discovers that the product of the two base numbers is exactly twice as large as the sum of those same base numbers.
Help on this, please?
Given:
x is a number between 8 and 12 exclusive.
To find:
The value of x.
Solution:
It is given that x is a number between 8 and 12 exclusive. It means the value of x lies between 8 and 12 but 8 and 12 are not included.

The whole numbers for
range are 9, 10, 11.
Therefore, the values of x are 9, 10, 11 and the value of x in the form of inequality is
.
To solve this problem, start by finding how many cans will be collected in 5 months. To do this, take the amount of cans collected each month and multiply it by the number of months. Set these values up in an equation.
This leaves you with:
3.75(5) = x
Multiply the values to get 18.75 pounds of cans.
So this fills the first blank.
For the second blank, you must subtract the number collected from the number that was the goal for the class.
This results in the expression:
20.5 - 18.75
Subtract the values to fill the second blank with 1.75 pounds.
Since they didn’t meet their goal, the last blank would be “less.”
I hope this helps! :)
we know that
Vertical angles are congruent angles
that means
substitute the given values
(7x – 27)=(3x + 29)
solve for x
7x-3x=29+27
4x=56
x=14
part b)
We know that
Supplementary angles are angles that their sum is equal to 180 degrees
so
A+B=180
substitute the given values
5x+25+x+17=180
solve for x
6x+42=180
6x=180-42
6x=138
x=23
Find the measure of Angle A