Answer:
Step-by-step explanation:
After reflection about y-axis, A'B'C' must be translated down 6 units to create image DEF.
ABC and DEF are congruent due to the following common properties of reflections and translations.
1. does not change the nature of geometric elements, i.e. maps a line to a line, a segment to a segment, etc.
2. preserve lenths of segments.
3. preserves angles
By the congruent theorem of SSS, the two triangles are congruent.
So we can take the volume of a cube formula and set it equal to the volume that we actually know: 64 centimeters cubed. So in order to find the length of the edge, which is a side, we need to cube root both sides of this equation. On the left-hand side, the cube root cancels all the cube.
Answer:
y=1/3x+1
Step-by-step explanation:
Find the slope which is 1/3 and you can see that the y-intercept is 1. Please mark me brainliest.
Answer:
4/5
Step-by-step explanation:
4/5 x 5/5 = 20/25 = 4/5
Options :
21 mm2
24 mm2
42 mm2
48 mm2
Answer: 24mm^2
Step-by-step explanation:
Given the following :
Side length of larger triangle:
Base = 5mm
Height = 12mm
Side length of smaller triangle :
Base = 4mm
Height = 3mm
Area of triangle :
0.5 × base × height
Area of larger triangle :
0.5 × 12mm × 5mm = 30mm^2
Area of smaller triangle :
0.5 × 4mm × 3mm = 6mm^2
Area of shaded region :
(Area of larger triangle - Area of smaller triangle)
(30mm^2 - 6mm^2) = 24mm^2