Time Distance Distance / Time
2hrs 90 miles 90 miles / 2 hrs = 45 miles / hr
3hrs 135 miles 135 miles / 3 hrs = 45 miles / hr
5hrs 225 miles 225 miles / 5 hrs = 45 miles / hr
6hrs 270 miles 270 miles / 6 hrs = 45 miles / hr
Constant of proportionality is 45 miles / hr. This is the same for the four values. The unit rate is also 45 miles / hr.
Let us assume the Distance , d is directly proportional to Time, t
d α t
d = kt
Constant of proportionality is k which is D/T
d = 45t
The correct answer is 317
<span>2x-1=4(x+1)
Given.
This is the expression you were originally given.
2x-1=4x+4
Distributive Property
You distributed the 4 in the subexpression 4(x + 1) to make 4x + 4
2x=4x+5
Addition or Subtraction Property of Equality
You added 1 to both sides of the equation.
â’2x=5
Addition or Subtraction Property of Equality
You subtracted 4x from both sides of the equation.
x=-5/2
Multiplication or Division Property of Equality
You divided both sides by -2.</span>
Answer:
see explanation
Step-by-step explanation:
(e)
- 
= 1
Multiply through by 12 to clear the fractions
4(2x - 1) - 3(3x - 1) = 12 ← distribute parenthesis and simplify
8x - 4 - 9x + 3 = 12
- x - 1 = 12 ( add 1 to both sides )
- x = 13 ( multiply both sides by - 1 )
x = - 13
---------------------------------------------------------------
(f)
- 5 = 24 ( add 5 to both sides )
= 29 ( multiply both sides by 4 )
3m = 116 ( divide both sides by 3 )
m = 
--------------------------------------------------------------
(g)
- 
= 3
Multiply through by 6 to clear the fractions
15(y + 2) - 8(y + 1) = 18 ← distribute parenthesis and simplify
15y + 30 - 8y - 8 = 18
7y + 22 = 18 ( subtract 22 from both sides )
7y = - 4 ( divide both sides by 7 )
y = - 
Answer:
SAS
Step-by-step explanation:
Given: Two triangles ΔABD and ΔDCA,
We have, AD=AD (common)
∠A=∠A (Given)
BA=CD (Sides opposite to equal angles are always equal)
With the SAS rule of congruency,
ΔABD≅ΔDCA
