Slope is a constant rate of change; change in y over change in x; rise over run; represented by the variable m. Point slope is the equation of a straight line in the form y − y1 = m(x − x1) where m is the slope of the line and (x1, y1) are the coordinates of a given point on the line.
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Answer: Its the very last one
Step-by-step explanation: first you need to divide the 6 by the 15 and then add it by how many friends your going to share it with
Let x=ab=ac, and y=bc, and z=ad.
Since the perimeter of the triangle abc is 36, you have:
Perimeter of abc = 36
ab + ac + bc = 36
x + x + y = 36
(eq. 1) 2x + y = 36
The triangle is isosceles (it has two sides with equal length: ab and ac). The line perpendicular to the third side (bc) from the opposite vertex (a), divides that third side into two equal halves: the point d is the middle point of bc. This is a property of isosceles triangles, which is easily shown by similarity.
Hence, we have that bd = dc = bc/2 = y/2 (remember we called bc = y).
The perimeter of the triangle abd is 30:
Permiter of abd = 30
ab + bd + ad = 30
x + y/2 + z =30
(eq. 2) 2x + y + 2z = 60
So, we have two equations on x, y and z:
(eq.1) 2x + y = 36
(eq.2) 2x + y + 2z = 60
Substitute 2x + y by 36 from (eq.1) in (eq.2):
(eq.2') 36 + 2z = 60
And solve for z:
36 + 2z = 60 => 2z = 60 - 36 => 2z = 24 => z = 12
The measure of ad is 12.
If you prefer a less algebraic reasoning:
- The perimeter of abd is half the perimeter of abc plus the length of ad (since you have "cut" the triangle abc in two halves to obtain the triangle abd).
- Then, ad is the difference between the perimeter of abd and half the perimeter of abc:
ad = 30 - (36/2) = 30 - 18 = 12
Answer:
11 inches
Step-by-step explanation:
hypotenuse² = leg₁² + leg₂²
=10² + (√21)²
= 100 + 21
= 121
Hypotenuse = √ 121 = √11*11 = 11 inches
Answer:
The value of basketball player's autograph a year ago is $280
Step-by-step explanation:
Given as :
The present value of autograph = $ 336.00
The rate of increase of autograph = 20%
The time period = 1 year
Let The value one year ago = $ x
So ,
The value of autograph after n year = The present value × 
Or, $ 336.00 = $ x × 
Or, $ 336.00 = $x × 1.2
∴ x = 
= $280
Hence The value of basketball player's autograph a year ago is $280 Answer
