Answer: The answer to the question is -30x + 16
Part a)
R(x-axis) is the reflection of the original triangle ABC on the x-axis. The new coordinates are given as A' (2, -5), B' (4, -6), and C' (3, -1)
Part b)
R(y=3) is the reflection of the original triangle ABC on the line with equation y=3.
The new coordinates would be A' (2, 1), B' (4, 0), and C' (3, 5)
Part c)
T(-2, 5) is the translation of the original triangle ABC two units left and five units up. The new coordinates would be A'(0, 10), B' (2, 11), and C'(1, 6)
Part d)
T(3, -6) is the translation of the original triangle ABC three units right and six units down. The new coordinates would be A'(5, -1), B'(7, 0), and C'(6, -5)
Part e)
r(90°, 0) is the rotation of the original triangle ABC on the origin by 90° clockwise. The new coordinates would be A'(5, -2), B'(6, -4) and C'(1 -3)
Answer:
Step-by-step explanation:
NO because all the angles are not congruent.
Its translates which
Hopes this helps
Answer:
25 of one dollar bills, 13 of five dollar bills, 12 of ten dollar bills.
Step-by-step explanation:
You can write the following equations:
x+y+z=50 (1)
x+5y+10z= 210 (2)
x= 2y-1 (3)
x= number of one dollar bills
y= number of five dollar bills
z= number of ten dollar bills
Then, you can replace (3) in (1) and (2):
2y-1+y+z= 50
3y+z=51
2y-1+5y+10z= 210
7y+10z=211
From that, you will get the following equations:
3y+z=51 (4)
7y+10z=211 (5)
Now, you have to isolate z in (4) and replace it in (5):
z= 51-3y
7y+10(51-3y)=211
7y+510-30y=211
-23y=-299
y= 13
Then, replace the value of y in z= 51-3y:
z=51-3(13)= 51-39= 12
After this, you can replace the value of y in (3):
x=2(13)-1= 26-1= 25
According to this, the answer is that there are 25 of one dollar bills, 13 of five dollar bills, 12 of ten dollar bills.