Solve for x:
10 (x + 2) = 5 (x + 8)
Expand out terms of the left hand side:
10 x + 20 = 5 (x + 8)
Expand out terms of the right hand side:
10 x + 20 = 5 x + 40
Subtract 5 x from both sides:
(10 x - 5 x) + 20 = (5 x - 5 x) + 40
10 x - 5 x = 5 x:
5 x + 20 = (5 x - 5 x) + 40
5 x - 5 x = 0:
5 x + 20 = 40
Subtract 20 from both sides:
5 x + (20 - 20) = 40 - 20
20 - 20 = 0:
5 x = 40 - 20
40 - 20 = 20:
5 x = 20
Divide both sides of 5 x = 20 by 5:
(5 x)/5 = 20/5
5/5 = 1:
x = 20/5
The gcd of 20 and 5 is 5, so 20/5 = (5×4)/(5×1) = 5/5×4 = 4:
Answer: x = 4
100 plus 110 is 210 added up.
Answer:
No, they are not congruent
Step-by-step explanation:
By CD and EF being congruent, we want to know if they are equal.
What we can simply do here is to find the distance between the points present.
That is, the distance between C and D, the distance between E and F
To get the distances between two points , we use the following equation
D = √(x2-x1)^2 + (y2-y1)^2
For CD, we have
D = √(6 -(-1)^2 + (-7 + 7)^2
D = √(7)^2 = 7 units
For EF, we have
D = √(5-5)^2 + (-5-3)^2
D = √(-8)^2
D = √(64) = 8 units
This clearly shows that they are both not congruent
