A. vertical angles are congruent
b. alternate interior angles are congruent
c. if alternate interior angles are congruent, lines are parallel <span />
You have not provided the options, but this solution is an equation that will work:
Answer:
4 / 7 = x
Step-by-step explanation:
Since the total material is 4 feet long, we can divide 4 feet by 7, the number of equal pieces cut, to see how long each piece is.
This gives us an answer of 4/7 or about 0.571
Answer:
x = 5
z =2
y =4.4
Step-by-step explanation:
y varies directly as x
y = kx
and inversely as z
y = kx/z
Putting in the numbers in the first line of the table, we can solve for k
13.75 = k * 25/4
Multiply by 4
13.75*4 = 25k
55 =25k
Divide by 25
55/25 = 25k/25
2.2 = k
Now we can fill in the table
y = 2.2 x/z
Row 2 we need to find x
1 = 2.2 x/11
Multiply by 11
11 = 2.2 x
Divide by 2.2
11/2.2 = 2.2x
5 =x
Row 3 we need to find z
18.7 = 2.2 *17/z
18.7 = 37.4 /z
Multiply by z
18.7z = 37.4
Divide by 18.7
18.7/18.7z = 37.4/18.8
z =2
Row 4 we need to find y
y = 2.2 *10/5
y = 22/5
y =4.4
Let the marks of the students in class 1 be
the average of these 12 marks is 90, so
which means
similarly, let
be the marks of the students in the second class,
so
which means
The 32 students averaged:
