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)
Answer:
3:5 Is the ratio because there are five pieces of cheese.
Step-by-step explanation:
If there are 12 pieces, then you can add 4 and 3 together and get 7 and then you can take 7 from 12 and get 5 which is how many cheese pieces there are. Now you know that there are 3 slices of pepperoni and 5 pieces of cheese. Therefore the ratio is 3:5.
Answer:
A point that must lie on this line is the origin (0,0)
Step-by-step explanation:
we know that
The equation of the line in standard form is equal to
where
A is a positive integer
B and C are integer
In this problem
C=0
so
That means, that the line represent a proportional relationship between the variables x and y
Remember that in a proportional relationship the line passes through the origin
therefore
A point that must lie on this line is the origin (0,0)
7(x - 3) + 3(4 - x) = -8
7x - 21 + 12 - 3x = -8
7x - 3x = -8 + 21 - 12
4x = 1
x = 1/4
