Answer:
Length 37 cm, width 25 cm.
Step-by-step explanation:
Let the original dimensions be length x and width x - 12 cms.
The new dimensions will be length (x - 2) and width (x - 12 - 2) = x-14 cm.
So , from the areas, we have:
x(x - 12) - (x - 2)(x - 14) = 120
x^2 - 12x - (x^2 - 16x + 28) = 120
-12x + 16x - 28 = 120
4x = 148
x = 37 cms
So the length was 37 cm and the width was 37-12 = 25 cm.
So lets ABCD are the sides of the square and AB=CD, AC=BD and the Angle ABC = 90 so therefore by making a diagonal we can use the SAS or SSS congruency for two triangles, so we can prove two triangles are equal and that is why the shape is square.
Answer:
(5 x + 1) - (-10 x + 6)
5x +1 + 10x - 6
25x - 5
Step-by-step explanation:
(x - 2) - (6x - 9)
x - 2 - 6x + 9 =
-5x +7
(5 x + 1) - (-10 x + 6)
5x +1 + 10x - 6
25x - 5
-4 x + 2 x + 7 - 3 x
-5x + 7
(4 x + 3) + (-9 x + 4)
4x +3 -9x + 4
-5x + 7
Angle D is 60° because it is a supplementary angle, meaning 180 (straight line) - 120 (angle A) = 60°
5/11
11 goes into 5 zero times (0.)
11 goes into 50 four times with a remainder of 6 (0.4)
11 goes into 60 five times with a remainder of 5 (0.45)
11 goes into 50 four times with a remainder of 6 (0.454)
11 goes into 60 five times with a remainder of 5 (0.4545)
The answer is .45 with a bar on top of both the 4 and the 5.
