When you have two parallel lines being cut by a transversal, you can use the next statements for the angles:
The measurement of the angles in green is the same (are congruents)
The measurement of the angles in blue is the same (are congruents)
An angle in green is a complementary angle with an angle in blue. (The addition of the two angles has to be 180º)
You know that:
As the angle 3 is congruent with angle 2:
<span>If I am using the inspection method, the constant term that I would need in the numerator of this rational expression for (x+5) to be a common factor of (x^2+6x+14) / (x+5) is 11/(x+1)</span>
It would be 60 degrees because compliment means 90 degrees. In order to find m<CBD, you would need to subtract 30 degrees from 90 degrees which would equal 60 degrees. 90-30=60
There 7 blocks of hundreds which means each such block is equivalent to 100.
There are 5 blocks of tens, which means each such block is equivalent to 10.
There are 8 blocks of ones, which means each such block is equivalent to 1.
The total of these blocks will be = 7(100) + 5(10) + 8(10) = 758
We can make several two 3-digit numbers from these blocks. An example is listed below:
Example:
Using 3 hundred block, 2 tens blocks and 4 ones block to make one number and remaining blocks to make the other number. The remaining blocks will be 4 hundred blocks, 3 tens blocks and 4 ones blocks
The two numbers we will make in this case are:
1st number = 3(100) + 2(10) + 4(1) = 324
2nd number = 4(100) + 3(10) + 4(1) = 434
The sum of these two numbers is = 324 + 434 = 758
i.e. equal to the original sum of all blocks.
This way changing the number of blocks in each place value, different 3 digit numbers can be generated.
