Can someone help me please
1 answer:
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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:
- AB ≅ MN
- AC ≅ MO
- CB ≅ NO
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:
theres a calculator that will go step bey step to solve these kind of problems
Step-by-step explanation:
Answer:
Step-by-step explanation:
The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is
Our A(t) = 33800, P = 4400, r = .075 and we are looking for t. Filling in:
and
Begin by dividing both sides by 4400 to get
The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:
The power rule of natural logs says we can move that exponent down in front, giving us:
Divide both sides by ln(1.075) to get
Do this division on your calculator to get
t = 28.2 years