Answer:
Step-by-step explanation:
Point A represents the integer 5.
Point B -8
Point C -15
Point D 18
Answer: the father is 44 years old now
Step-by-step explanation:
Let Bob's present age be represented by x
Let his father's present age be represented by y
Bob's age is 15 years less than half his father's age. This means that
x = y/2 - 15
x + 15 = y/2
y = 2x + 30
y - 2x = 30 - - - - - - - - - -1
In six years his father's age will be eleven years more than triple Bob's age. This means that
y + 6 = 3(x + 6) + 11
y + 6 = 3x + 18 + 11
y - 3x = 18 + 11 - 6
y - 3x = 18 + 11 - 6
y - 3x = 23 - - - - - - - - -2
Subtracting equation 2 from equation 1, it becomes
x = 7
y = 2x + 30
y = 2×7 + 30
y = 14 + 30
y = 44
Answer:
Step-by-step explanation:
3x-5=19-x
3x+x=19+5
4x=24
x=6
-4x-3y-9=0
|| m1 = - ( - 4)/-3= - 4/3
_|_ m2 = -1/m1= 3/4
2x+4y-3=0
|| m1= -2/4= -1/2
_|_ m2= 2
12x-y-17=0
|| m1= -12/-1=12
_|_ m2 = -1/12
x-y=0
|| m1= -1/-1=1
_|_ m2= -1
8x - 3y - 2=0
|| m1= -8/-3= 8/3
_|_ m2 = -3/8
-2x + y - 5=0
|| m1= -(-2)/1=2
_|_ m2= -1/2
Answer:
A.) the SSS Postulate
Step-by-step explanation:
Two sides of each triangle are marked congruent, and the third side is shared by the triangles. Hence, all three sides are congruent, and the SSS Postulate applies.
