(15 pts) Look at the figure shown below: (First image)
Patricia is writing statements as shown below to prove that if segment ST is parallel to segment RQ, then x = 35:
(second Image)
Which equation can she use as statement 5?
- x:15 = 28:40
- 28:12 = x:(x + 15 )
- x + 15 = 28 + 12
- 28:40 = x:(x + 15)

b

step-by-step explanation:

the word superfluous means unnecessary

y=3n + 1

step-by-step explanation:

this is wrong because it says the second number is one less and i added one instead

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4