and surely you'd know what the roots are
The measures of angles A and B are equal and complementary. What is the measure Of each angle?
1 answer:
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Answer:
1st option is correct i.e., 1 over 2
Step-by-step explanation:
Given that Triangle ABC transformed to Triangle A'B'C'.
Coordinated of Triangle ABC are A(2,6) , B(2,4) and C(4,4)
Coordinated of Triangle A'B'C' are A'(1,3), B'(1,2) and C'(2,2)
Scale factor of Dilation is the no. of times coordinates of vertices of a figure increase or decrease.i.e.,
if A(a,b) ⇒ A'(c,d)
where, a.k=c & b.k=d then k is scale factor of dilation.
Value of k is same for all vertices.
For coordinates of A & A' ,we have
For coordinates of B & B' ,we have
For coordinates of C & C' ,we have
Therefore, the scale factor of dilation is since in all cases
1st option is correct i.e., 1 over 2
Answer:
A). Surface area = 222 cm²
Volume = 180 cm³
B). Surface area = 375 cm²
Volume = 360 cm³
C). % increase in surface area = 67.57%
% increase in volume = 100%
Step-by-step explanation:
In the figure attached base of a prism has been given.
A). Surface area of the prism = (Perimeter of the base of the prism) × height + 2(area of the base)
Perimeter of the base = 5 + 3 + 2 + 2 + 2 + 3 + 5 + 8
= 30
Area of the base = 8×5 - 2×2 = 36 cm²
Surface area of the prism = 30×5 + 2×(36)= 222 cm²
Volume of the prism = volume of the bigger prism - volume of the smaller prism cut off
= 8×5×5 - 2×2×5
= 200 - 20
= 180 cm³
B). Surface area of the prism if it's height is 10 cm,
Surface area = 30×10 + 2×(36) = 372 cm²
Volume of the prism = 8×5×10 - 2×2×10
= 400 - 40
= 360 cm³
C). Increase in surface area = 372 - 222 = 150 cm²
% increase in the surface area = = 67.57%
Increase in volume = 360 - 180 = 180 cm³
% increase in volume = = 100%