It is 3/4 of the pie is left because one slice is 1/4 of the pie and taking 1/4 from 4/4 is 3/4
A worker can assemble 3 shelf units each hr. During the 5th hr...so the shift has been going on for 5 hrs...at 3 units per hr = (3 * 5) = 15 units assembled during the shift....and if there was 115 units in the warehouse, then that means before the shift, there were (115 - 15) = 100 units assembled <=
Answer: The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.
Step-by-step explanation:
Given : Triangle ABC was rotated 90 degrees clockwise. Then it underwent a dilation centered at the origin with a scale factor of 4.
A rotation is a rigid transformation that creates congruent images but dilation is not a rigid transformation, it creates similar images but not congruent.
Also, the corresponding angles of similar triangles are congruent.
Therefore, The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.
For the first one it’s subtraction property of equality
Answer:
x=2√5
Step-by-step explanation:
<u>1st method:</u>
sin(30)=opposite/hypotenuse=√5/x
sin(30)x=√5
x=√5/sin(30)
x=2√5
<u>2nd method:</u>
cos(60)=adjacent/hypotenuse=√5/x
cos(60)x=√5
x=√5/cos(60)
x=2√5
<u>3rd method:</u>
This is a 30-60-90 triangle, so we can multiply the short side, √5, by 2, to get x=2√5
