Answer:
<h2>The x-coordinate after the rotation is -10.</h2>
Step-by-step explanation:
A 810° rotation is equal to a 90° rotation. So, the transformation described gives the same result than rotating 90° only.
A 90° counterclockwise rotation is defined by the rule

The given coordinate is
. Using the rule, we have

Therefore, the x-coordinate after the rotation is -10.
Answer:
Part A: 25% of 50 = 12.5
Part B: 25% of 60 = 15
Part C: 50% of 60 = 30
Part D: 75% of 60 = 45
Part E: 75% of 30 = 22.5
Part F: 100% of 22.5 = 22.5
Part G: 10% of 22.5 = 2.25
Part H: 50% of 45.7 = 22.85
Step-by-step explanation:
To find - Do you know the answer to
Part A: 25% of 50 =
Part B: 25% of 60 =
Part C: 50% of 60 =
Part D: 75% of 60 =
Part E: 75% of 30 =
Part F: 100% of 22.5 =
Part G: 10% of 22.5 =
Part H: 50% of 45.7 =
Proof -
Part A :
25% of 50 =
=
= 12.5
⇒25% of 50 = 12.5
Part B :
25% of 60 =
=
= 15
⇒25% of 60 = 15
Part C :
50% of 60 =
=
= 30
⇒50% of 60 = 30
Part D :
75% of 60 =
=
= 45
⇒75% of 60 = 45
Part E :
75% of 30 =
=
= 22.5
⇒75% of 30 = 22.5
Part F :
100% of 22.5 =
= 22.5
⇒ 100% of 22.5 = 22.5
Part G :
10% of 22.5 =
= 2.25
⇒ 10% of 22.5 = 2.25
Part H :
50% of 45.7 =
=
= 22.85
⇒50% of 45.7 = 22.85
Solution:
<u>Note that:</u>
- 1 min = 60 sec
- 1 h = 60 min.
<em>The given time is in seconds. Convert it into minutes by dividing it by 60.</em>
- => 25,200 seconds = 25,200 ÷ 60 minutes = 420 minutes
<em>The obtained time is in minutes. Convert it into hours by dividing it by 60.</em>
- => 420 minutes = 420 ÷ 60 hours = 7 hours
<u>We can conclude that:</u>
- 25,200 seconds = 420 minutes = 7 hours
To find the measure<span> of the smallest angle of the triangle, we multiply 4 times 10. So, 4 x 10 = 40. Remember, the sum of the angles of a triangle is 180 degrees. Just take what you are given in a problem and try to </span>determine<span> what will make the final angle add up to 180 degrees.</span>
Answer:
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