2x - 6 = 20
2x = 20 + 6
2x = 26
x = 26/2
x = 13 <==
Step b is wrong. The slope is the change in y over the change in x.
Step b should be (18- 8)/( 10-6)
= 10/4
= 5/2
Answer:
# AB is bisected by CD
# AE = 1/2 AB
# CE + EF = FD
Step-by-step explanation:
* Lets talk about the mid point
- The mid-point of a segment is divided the segment into two
equal parts
- The figure has line segment AB
- E is the mid-point of AB
∴ E divides the line segment AB into two equal parts
∴ AE = EB
∴ AE = 1/2 AB ⇒ (1)
- Any line passes through the point E will bisects the line segment AB
∴ AB is bisected by CD ⇒ (2)
∵ F is the mid-point of CD
∴ F divides the line segment CD into two equal parts
∴ CF = FD
∵ Point E lies on CF
∴ CE + EF = CF
∵ CF = FD
∴ CE + EF = FD ⇒ (3)
* There are three statements must be true (1) , (2) , (3)
# AB is bisected by CD
# AE = 1/2 AB
# CE + EF = FD
y = 3x - 1
x - y = -9
Subs y in second equation.
x - (3x - 1) = -9
x - 3x + 1 = -9
-2x = -9 - 1
-2x = -10
x = -10/-2
x = 5
Subs x
y = 3x - 1
y = 3.5 - 1
y = 15 - 1
y = 14
Answer:
John is 31
Ella is 25
Step-by-step explanation:
Let sister's age be x, then John's age is (x + 6). So from sentence 2,
(3x) - 2(x + 6) = 13
3x - 2x - 12 = 13
x = 13 + 12 = 25
and x + 6 = 31
