6(x + 2) = 2(x + 10)
6x + 12 = 2x + 20
6x - 2x = -12 + 20
4x = 8
x = 8/4
x = 2
3(y - 4) + 2 = 5y - 28
3y - 12 + 2 = 5y - 28
3y -10 = 5y - 28
3y - 5y = 10 - 28
-2y = -18
y = -18/-2
y = 9
5(2z - 3) - 3z = 3(z + 3)
10z - 15 - 3z = 3z + 9
7z - 15 = 3z + 9
7z - 3z = 15 + 9
4z = 24
z = 24/4
z = 6
Answer:
Step-by-step explanation:
page 70/4
Reason 1. Given
Reason 2. Definition of angle bisectors (bisectors form ≅∠s)
Statment3. m∠2 =m∠3
Reason 4. Given
Reason 5. m∠1 +m2=90°, Reason 5. Definition of Complementary ∠s (they add-up to 90°)
Reason 6. because statment 2. and transition propriety ( if a=b and b=c then a=c)
Statment 7. ∠1 is complementary to ∠3
She played 8 games. Since she earned a total of 120 points and 15 points per game you would divide 120/15=8
Answer:
Step-by-step explanation:
∵ ABCD is a rhombus
∴ AC is ⊥ on BD
∴ ΔAEB is right angled triangle
Answer:
72 units
Step-by-step explanation:
There are two ways to solve the problems.
Count graphically, horizontally there are 9 units, vertically there are 8 units in the rectangle. So the area is 9*8 = 72 units.
Alternatively, check the difference between two adjacent vertices,
1. between (4,-3) and (4,5), the difference is (0,8), or 8 units.
2. between (4,5) and (-5,5), the difference is (9,0), or 9 units.
So again, the area of the square is 8*9=72 units.