14. 5n - 4 = 8
5n = 12
n = 2.4
15. 3x + 5 - 4x = -3
-x + 5 = -3
-x = -8
x = 8
16. 96 = -6(-4 - 3y)
96 = 24 + 18y
72 = 18y
4 = y
17. 3(x - 5) = -14 + 17x
3x - 15 = -14 + 17x
-11x - 15 = -14
-11x = 1
x = -0.0909
18. 7z + 10 - z = 8z - 2(z - 5)
6z + 10 = 8z - 2z + 10
6z + 10 = 6z + 10
6z = 6z
z = z (all real numbers are solutions)
Hope this helps.
Answer:
1. AC is perpendicular to BD
1. Given
2. ACB is a right angle
2. Definition of perpendicular lines
3. Triangle ACB is a right triangle
3. Definition of right triangles
4. Angles 1 and 3 are complementary
4. Interior angles of a triangle add up to 180 degrees (Triangle Interior Angle Sum Theorem), and m<ACB = 90 degrees (definition of right angles), so m<1 + m<3 = 90 degrees (subtraction property of equality). By the definition of complementary angles, angles 1 and 3 are complementary.
Answer: 5.026548. or 5.03
Step-by-step explanation:
circumference is pi times diameter
1.6 x pi is 5.026548, which simplified is 5.03
Answer:
48 hours
Step-by-step explanation:
you would divide the total by the part (328.80/6.85) and that would give you her hours. hope this helps
