the new price of the bike is $380
Answer:
C. Both of the above answers
Step-by-step explanation:
13 = -6(-2) + 1
13 = 12 + 1
13 = 13
7 = -6(-1) + 1
7 = 6 + 1
7 = 7
Y-3=4/11(x-11). Doing a problem like this is mostly memorizing point slope formula, by knowing y-y2=m(x-x1) you can just "plug" in 3 as your y1 and 11 as your x1 then finally 4/11 as your slope being y-3=4/11(x-11)
Similar triangles may or may not be congruent.
The congruent criterion to use in her proof is (b) SAS theorem
From the question, we understand that she draws an angle bisector from 
to side PR
This means that, either sides of angle Q are congruent. (this is represented by A i.e. angle)
When is bisected, sides PB and RB become congruent
i.e. 
... (this is represented by S i.e. side)
Lastly, both triangles share a common side at QB .. (this is also represented by S i.e. side)
So, we have: SAS
Hence, the congruent criterion to use in her proof is (b) SAS theorem
Read more about similar and congruent triangles at:
brainly.com/question/19589236
Answer:
Step-by-step explanation: (a) y = 3x - 8 (b) 3y + x - 16 = 0
(a) The line is y = 3x - 2
But the condition for parallelism is that for two lines to be parallel to each other, their gradients m must be equal, ie, m1 = m2
therefore, the gradient of the line above m1 = 3, m2 = 3
since the line passes through the coordinate of ( 4, 4 ),
we need to find the y intersect ( c ) by substitute for x, m and y in the equation below.
y = mx + c
4 = 3 x 4 + c
4 = 12 + c
c = 4 - 12
c = -8
Therefore, substitute for c in the equation of a line above to get the second equation
y = mx + c
y = 3x - 8
(b) Condition for perpendicularity of two line is that the product of their gradients must be( -1 )
ie, m1m2 = -1
Now from the equation above, y = 3x - 2, m1 = 3 and m2 = -1/3
to get the value of c, we substitute for x, y and m into the equation
y = mx + c
4 = -1/3 x 4 = c
4 = -4/3 + c
multiply through by 3 to make it a linear equation
12 = -4 + 3c
12 + 4 = 3c
16 = 3c
c = 16/3
now put c = 16/3 into the equation , y=mx + c
y = -x/3 + 16/3
multiply through by 3
3y = -x + 16
3y + x - 16 =0
