Problem 2
Midpoint: Think 1/2. A midpoint cuts a line segment in 1/2 (in this question). That means that the left segment = the right segment. Remember: midpoint means 1/2.
LN is given as 14.
LM is 1/2 the distance of 14
LM = 1/2 * 14
LM = 7
Problem 3
If the midpoint = the 1/2 way point, the two halves are equal. Remember a midpoint divides the 2 parts into 2 EQUAL parts.
4a - 2 = 18 Add 2 to both sides
4a = 18 + 2
4a = 20
a = 20 /4
a = 5
Problem 4
Remember that midpoint means 1/2. That a midpoint cuts a segment into 2 equal segments
Equation
2n + 2 = 5n - 4
Solve
2n + 2 = 5n - 4 Add 4 to both sides
2n + 2 + 4 = 5n Subtract 2n from both sides.
6 = 5n - 2n
6 = 3n Divide both sides by 3
6/3 = n
n = 2
<u>Answer:</u> B
Problem 5
And again the whole line segment is divided into 2 equal parts.
<u>Equation</u>
6p - 12 = 4p Add 12 to both sides
6p = 12 + 4p Subtract 4p from both sides.
6p - 4p = 12
2p = 12 Divide by 2
p = 12/2
p = 6 <<<<< Answer
They each ate 1.5 pieces of pie
Answer:
x=12 and
(9*12)-10=98
(5*12)+38=98
both angles are = 98
Step-by-step explanation:
do this :
9x - 10 = 5x + 38
( - 5x from both sides)
4x - 10 = 38
(add 10 to both sides)
4x = 38+10
4x=48
(divide by 4)
x=48/4
= 12
substitute into the equations:
(9*12)-10
(5*12)+38
Answer:
Step-by-step explanation:
Six times a number is decreased by fourteen, the result is 124.
Write an equation that represents this
(6 * x) - 14 = 124
Multiply 6 by x to remove the parenthesis
6x - 14 = 124
Add 14 to both sides of the equation
6x = 138
Divide both sides of the equation by 6
x = 23
The unknown number is
Hope this helps :)
Answer:
4 / 5
Step-by-step explanation:
From the image attached, Line BA is divided into a total of 5 equal proportions (or intervals). Point P is placed at the 4th proportion of the divided line, also the distance between point P and point A is 1 propotion. The ratio in which point P divides the line BA is given as:
Ratio = BP : PA = 4 : 1
Ratio = 4 : 1
The part to whole ratio If point p partitions line BA = BP / BA = 4 / 5
Part to whole ratio = 4/5
