Answer:
Triangle Sum Theorem
Step-by-step explanation:
These do not give you congruent angles
Answer:
The amount that William has at the beginning is $37.50 and the amount that Gracie has at the beginning is $52.50
Step-by-step explanation:
Let
x ---> amount that William has at the beginning
y ---> amount that Gracie has at the beginning
we know that
William says to Gracie, "If you give me $7.50,we will have and equal amount of money
so
----> equation A
"Grace responds, if you give me $ 7.50 instead, I will have twice as much money as you
----> equation B
substitute equation A in equation B
solve for x
Find the value of y
therefore
The amount that William has at the beginning is $37.50 and the amount that Gracie has at the beginning is $52.50
(first step:
you must remember the following theorem :
Two lines whose slopes are m1 and m2, are perpendicular if and only if m1m2 = -1
(second step
you have one slope given and it is -2 then you substitute in the previous equation
(third step
m1*-2=-1⇒m1=-1/-2⇒m1= 1/2
it means that new slope of the equation is 1/2
(for step
with a given point and a the slope you can build the equation that is perpendicular to a line with slope -2
the equation point- slope is
y-y1=m(x-x1)
with any given point as (2,-5) substitute it in the previous equation
[y-(-5)]= 1/2(x-2)⇒ (y+5) = 1/2x-1/4⇒y-1/2x+5+1/4⇒y-1/2x+21/4 =0
(five step
you must look for the value of x in the following equation
y-1/2x+21/4 =0
where, y = 1/2X-21/4 and this is the equation that represents a line that is perpendicular to a line with slope -2
Step-by-step explanation:
let the unknown be x
(-12) - x = 10
(-12) - 10 = x
-22 = x
if you wanna check,
(-12) - (-22) = 10
10 = 10
