<span>y-2>1/2(x-2) can be expanded as follows: y - 2 > (1/2)x - 1
Mult. all terms by 2 to remove the fractions:
2y - 4 > x - 2
Add 4 to both sides: 2y > x + 2
Div. both sides by 2: y > (1/2)x + 1 (answer)</span>
Let m be max's age
Let z be zekes age
2m+z=26
Sub in zekes age
2m+8=26
2m=26-8
2m=18
M=18/2
M=9
Remember: this is Max's age THREE YEARS AGO. Therefore, add three to get his current age
9+3=12
Therefore, Max is currently 12
Hope this helps!
Two triangles are similar if and only if all corresponding angles are equal (congruence), even if the corresponding sides are equal or not, therefore the answer is true because ΔJKL and ΔRST are similar and the statement above demands that "it must be", namely, this is a sufficient condition.
Move all terms containing m to the left all other terms to the right 48+-6m=6m+-6m
48+-6m=0
First of all, you would use the FOIL method for -5(a + 3). This means to just multiply -5 to all of the values in the parenthesis. This would equal:
-5a -15 = -55
Then after, you would add 15 for both sides and get -5a = -40
Divide by -5 on both sides, you get a = 8.
Here is a visual representation: https://puu.sh/zPxLC/a16740d0ce.png