The <em><u>correct answer</u></em> is:
Rotation of 90° counterclockwise about the origin and a translation 2 units right
Explanation:
A rotation 90° counterclockwise maps each point (x, y) to (-y, x). This means our points would be:
A(-4,3)→(-3, 4); B(-1,3)→(-3, -1); C(-2,1)→(-1, -2)
A translation 2 units right will add 2 units to the new x-coordinates; this gives us
(-3, 4)→(-1, 4); (-3, -1)→(-1, -1); and (-1, -2)→(1, -2)
These are the points in the image, so this is the correct set of transformations.
Answer:
See explanation for answers
Step-by-step explanation:
Reason 1) Given from the problem statement(because it says that B is the midpoint of AC)
Reason 2) Because B is the midpoint of AC
Reason 3) Given frome the problem statement(because it says that AB/cong CD)
Reason 4) Because two lines congruent to each other have the same length
Reason 5(You didn't explain well)) BC=AB=CD, so BC=CD(Specific reason: Transitivity of equality)
And we're done!
Answer:1=70 2=65 3=95
Step-by-step explanation:
Angles in a triangle add up to 180°
180-45=135-65=70
1=70°
Angles on a straight line add up to 180°
180-45=135-70=65
2=65°
Angles in a triangle add up to 180°
180-65=115-20=95
3=95°
Answer:
6x + 26 feet
Step-by-step explanation:
Assuming the garden is a rectangular shape, we have four sides, where two sides are 2x + 6 feet and two sides are x + 7 feet. To find the perimeter, we add up the lengths of all four sides.
2x + 6 + 2x + 6 + x + 7 + x + 7
or
2(2x + 6) + 2(x + 7)
6x + 26
Answer:
Step-by-step explanation:
Given
Required
Determine the percentage of protein
First, we need to calculate the total:
Percentage of protein is calculated as thus:
