False because left is statement and right is reason
Answer:the youngest child is 7 years old
Step-by-step explanation:
Let x represent the age of the youngest child.
Let y represent the age of the middle child.
Let z represent the age of the oldest child.
The sum of the ages of three children is 32. It means that
x + y + z = 32 - - - - - - - - - - - 1
The ages of the oldest is twice the age of the youngest. It means that
x = 2z
z = x/2
The two older children differ by 3 years. It means that
y = x - 3
Substituting z = x/2 and y = x - 3 into equation 1, it becomes
x + x - 3 + x/2 = 32
2x - 3 + x/2 = 32
Crossmultiplying,
4x - 6 + x = 64
5x = 64 + 6 = 70
x = 70/5 = 14
z = x/2 = 14/2
z = 7
Move the 6c over to the 7c side
1c - 17 = -15
Then move the -17 over to the -15 side
C=2
Answer:
BC = 10 units
Step-by-step explanation:
From the picture attached,
It's given that AD and BE are the parallel sides.
AC and DC are the transversal lines intersecting the parallel lines.
In ΔADC and ΔBEC,
∠DAC ≅ ∠EBC [Corresponding angles]
∠ADC ≅ ∠BEC [Corresponding angles]
ΔADC ~ ΔBEC [By AA property of similar triangles]
By the property of similar triangles,
Corresponding sides of the similar triangles are proportional.
BC = 10
Divide 3 on both sides
x=3.33