Answer:
D
Step-by-step explanation:
Δ ABC and Δ RSC are similar triangles, thus the ratio of corresponding sides are equal, that is
=
, substitute values
=
= 3 ( multiply both sides by 5 )
BC = 5 × 3 = 15 → D
Answer:
5
Step-by-step explanation:
Let y = the length of the 3rd side
x+3 + 2x+4 + y = 6x
x + 2x + 3 + 4 + y = 6x
3x + 7 +y = 6x
7 + y = 3x
y = 3x - 7
The length of the third side in terms of x is 3x-7
Answer:
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Step-by-step explanation:
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Answer:
The equation of Grant's path is y = 4 - x over 2 ⇒ 2nd answer
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line
- b is the y-intercept (value y at x = 0)
The formula of the slope of a line is 
∵ Grant's path is a line from point A to point B
∴ The equation of AB represents Grant's path
Lets find the slope of AB using the formula of the slope above
∵ A = (8 , 0)
∵ B = (-4 , 6)
∴
= 8 and
= -4
∴
= 0 and
= 6
∵ 
∴
Substitute the value of m in the form of the equation
∵ y = m x + b
∴ y =
x + b
∵ b is the value of y at x = 0
∵ y = 4 at x = 0 ⇒ from the figure
∴ b = 4
∴ y =
x + 4
We can write
x as 
∴ y =
+ 4
- Switch the two terms of the right hand side
∴ y = 4 - 
The equation of Grant's path is y = 4 - 