Answer:
Option D. AC= 10 cm and CE= 5 cm
Step-by-step explanation:
From the given figure two triangles ΔABC and ΔADE are similar and two lines BC║DE.
From these similar triangles we know
Therefore 
Or AC=
Now from pythagoras theorem
AE = √(AD²+ED²) = √(12²+9²) = √(144+81) =√225 = 15 cm
Since we know side AC =
= 
= 10 cm
Therefore AC = 10 cm and AE = 15cm and CE = (15-10) = 5 cm
Answer:
15*2+x
(* is multiplication)
Step-by-step explanation:
Answer:
Perimeter: 33.7 mm
Area: 54 mm
Step-by-step explanation:
If you do 12 + 9.7 + 12 you will get the perimeter, and to get the area you would use the formula A = 
x base x height. Since the base is 12 and the height is 9, you would do 12 x 9 x 0.5 to get 54 mm for the area of the triangle.
Answer:
He saves $14.50
Step-by-step explanation:
We can find the discount by multiplying the price by the percentage off
58* .25 = 14.50
He saves $14.50
Answer:
Length = 17 cm
Width = 8 cm
Step-by-step explanation:
Let the length be x cm
Therefore, Width = (x - 9) cm
Perimeter of rectangle = 2(l +w)
50 = 2[x + (x - 9)]
50/2 = 2x - 9
25 = 2x - 9
25+ 9 = 2x
2x = 34
x = 34/2
x = 17 cm
x - 9 = 17 - 9 = 8 cm
Therefore,
Length = 17 cm
Width = 8 cm
Thus, the dimensions of the rectangle are 17 cm and 8 cm.
