Item 56
2 answers:
Answer:
<u>Question 1:</u>
There are 25 questions on the test.
Each question is worth 4 marks each.
Question 2:
Your friend answered 19 questions correctly
Step-by-step explanation:
Question 1:
question answered = 24
percent earned = 96%
total number of points = 100%
x 100
x 100 ⇒ 0.25 x 100 ⇒ 25
there are 25 questions on the test
each question is 4 marks each
Question 2:
percent earned by your friend = 76%
(percent earned by your friend x total number of question) ÷ 100
76 x 25 ÷ 100
1900 ÷ 100
= 19
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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.
