Answer:
<u>Triangle ABC and triangle MNO</u> are congruent. A <u>Rotation</u> is a single rigid transformation that maps the two congruent triangles.
Step-by-step explanation:
ΔABC has vertices at A(12, 8), B(4,8), and C(4, 14).
- length of AB = √[(12-4)² + (8-8)²] = 8
- length of AC = √[(12-4)² + (8-14)²] = 10
- length of CB = √[(4-4)² + (8-14)²] = 6
ΔMNO has vertices at M(4, 16), N(4,8), and O(-2,8).
- length of MN = √[(4-4)² + (16-8)²] = 8
- length of MO = √[(4+2)² + (16-8)²] = 10
- length of NO = √[(4+2)² + (8-8)²] = 6
Therefore:
and ΔABC ≅ ΔMNO by SSS postulate.
In the picture attached, both triangles are shown. It can be seen that counterclockwise rotation of ΔABC around vertex B would map ΔABC into the ΔMNO.
Answer:
No
Step-by-step explanation:750+200=950 +75=1025 +100=1125 +500=1625
X is equal to 48
First subtract 4 from both the sides to get
-x/3 = 16
Then multiply both sides by 3 to get x alone
-x = 48
Now divide the both sides by -1, since we can't have x being negative to get
X = 48
Hope this helps:)
Answer:
x=9
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
----> by intersecting chords theorem
substitute the given values
solve for x
Since Jin donated his money to charity and he donated $864, that is our total.
We don't know the first amount, so we can call it x.
We don't know the second amount either, but we do know it was 5 times the first, so 5*x = 5x.
We first need to find how much Jin earned for the first song. We need to find x.
x + 5x = 864, then combine like terms6x = 864, then divide both sides by 66x/6 = 864/4x = 144
The fist song made $144. But the second made 5 times that. So we just multiply 144 by 5. 144*5=720.
The final answer is $720.
