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:
a) He substituted 0.8 instead of 0.08.
b) $264
Step-by-step explanation:
From the question, the principal is p= $275, the rate is r=0.08, and the time is t=12 years.
We substitute into the formula to get:


a) The mistake is that, he substituted 0.8 instead of 0.08.
b) The correct amount is $264
Answer:
x = 1.87
Step-by-step explanation:
2x^2 - 5 + 1 = 3
2x^2 = 3 + 5 - 1
2x^2 = 7
x^2 = 7/2
x = √3.5
x = 1.87082.....
x = 1.87 ( 3 significant figures )