You would first make the fractions improper (making the numerator bigger then the denominator) in order to do that times the denominator with the whole number and add the numerator.
Ex) 3*8 = 24 + 5 = 29/8
Then you would add both of the improper fractions
Answer:
6x^2 -11x -1
Step-by-step explanation:
(3x^2 + 3) - (6x + 4) + (3x^2 - 5x)
Distribute the minus sign
(3x^2 + 3) - 6x - 4) + (3x^2 - 5x)
Combine like terms
3x^2 + 3x^2 - 6x - 5x -4+3
6x^2 -11x -1
In the first question,
Since D is the midpoint of line segment AC.
therefore, AD=DC.
In triangles, ABD & CBD.
Since, AB is congruent to CB and BD is a common side between those two triangles.
Therefore, AD is congruent to DC.
Finally, in triangles DEA & DEC
Since, ED line segment is a common side between those triangles and the measure of angle EDA is as the same of angle EDC which are equal to 90 degrees and AD is congruent to DC.
Therefore, triangle EDA is congruent to triangle EDC ( you have to take care of the triangle order letters in congruence) and EC is congruent to EA.
Answer:
12 cm
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = 
h (a + b)
where h is the perpendicular height and a, b the parallel bases.
Here A = 45, h = 5, a = 6 and b = ?, thus
45 = × 5 × (6 + b) = 2.5(6 + b) = 15 + 2.5b ( subtract 15 from both sides )
30 = 2.5b ( divide both sides by 2.5 )
b = 12
The measure of the other parallel side is 12 cm
