Answer: 9.25
Step-by-step explanation:
Answer:
y=6
Step-by-step explanation:
|10-5y|=20
Since the absolute value is isolated, we can then separate the equations
For absolute values, there is a positive and negative when we remove the absolute values.
10-5y = 20 10-5y= -20
Subtract 10 from each side
10-10-5y = 20-10 10-10-5y= -20-10
-5y = 10 -5y = -30
Divide by -5
-5y/-5 =10/-5 -5y = -30/-5
y =-2 y =6
Let the number be x,
(1/2)x=1+(1/3)x
Solving for x,
(1/2)x-(1/3)x=1+(1/3)x-(1/3)x
(1/2)x-(1/3)x=1
(1*3/6)x-(1*2/6)x=1
(3/6)x-(2/6)x=1
(1/6)x=1
6*(1/6)x=6*1
Therefore, x=6
Answer:
a. angles A and C
b. angles B and D
Step-by-step explanation:
When two lines are parallel, it implies the value of the angle between them is
. Thus the lines can not meet when extended continuously.
Alternate angles are two equal angles that lie on opposite sides of the transversal line. Alternate Interior Angles are a pair of equal angles on the inner side of two parallel lines.
Since lines DE and AB are parallel with alternate interior angles at B and D, then angles A and C with angles B and D are alternate interior angles.
i.e < A = < C (alternate interior angle property)
<B = < D (alternate interior angle property)