Answer:
option b
reflection over the line y = x
Step-by-step explanation:
Matrix for every option is mention below
a)
rotation of 90° counter clockwise about the origin
0 -1
1 0
b)
rotation of 180° about the origin
-1 0
0 -1
c)
for a reflection in the line y=x
0 1
1 0
d)
translation 1 unit left and 1 unit up
1 0
0 1
Answer:
Since, the prime factors of 63 are 3, 7. Therefore, the product of prime factors = 3 × 7 = 21.
Step-by-step explanation:
Answer:
a = 16
w = 125
x = 120
y = 55
Step-by-step explanation:
<u>FINDING 'a'</u>
31 = a + 46 / 2
62 = a + 46
16 = a
<u>FINDING 'w'</u>
* This section looks Non-Isosceles trapezoid so I will be following the rule according it
w + 55 = 180
w = 125
<u>FINDING 'y'</u>
y = 55
- Because of corresponding angles
<u>FINDING 'x'</u>
* In this case it looks like we are still dealing w/ an non-isosceles trapezoid.
x + 60 = 180
x = 120
Hope this helped ^^
(Please inform me of any mistakes or misunderstandings!)
Answer:
x = -2
Step-by-step explanation:
2 (3x+11)=10
Divide each side by 2
2/2 (3x+11)=10/2
3x+11 = 5
Subtract 11 from each side
3x+11-11 = 5-11
3x = -6
Divide each side by 3
3x/3 = -6/3
x = -2