Answer:
<em>AB = 7.35 cm</em>
Step-by-step explanation:
From the attachment,
In ΔDEF,
DF = GH-(GD+FH) = 6 - (2+3) = 1 cm
DE = 2+3 = 5 cm (sum of two radius)
Applying Pythagoras theorem,

In ΔCDI,
DI = GH-(GD+IH) = 6 - (2+1.5) = 2.5 cm
CD = 2+1.5 = 3.5 cm (sum of two radius)
Applying Pythagoras theorem,

AB = EF + CI = 
Answer:
This is an identity or infinite solutions
Step-by-step explanation:
10x - 12y = 22
5x - 6y = 11
-2(5x - 6y = 11 )
-10x + 12y = -22
10x - 12y = 22
0=0
Identity solution
<h2>1210 cubic feet</h2>
Step-by-step explanation:
Initial dimensions of the storeroom were
length,
width and
height.
The room is in the shape of a cuboid. Volume of a cuboid =
, where
are the length, width and height of the cuboid.
So, Volume of storeroom initially = 
Finally, the length was increased to
and width to
.
Final volume of storeroom = 
Increase in volume = 
∴ 1210 cubic feet of storage was added.
Answer:
By definition, a parallelogram is a figure that has opposite sides parallel or it has two pairs of sides that are parallel. Based on the given figure above, the additional facts that would guarantee that JKLM is a parallelogram are the following: JK= 8 and JM= 12 and JK= 8 and JK is parallel to LM. Hope this answer helps.
Step-by-step explanation:
Answer:
c) 56 m²
Step-by-step explanation:
Area of the figure = area of triangle + area of rectangle
Rectangle:
length = 8 m
Width = 5 m
Area = length * width
= 8 *5
= 40 m²
Triangle:
base (b)= 4 m
height (h) = 8 m

= 2* 8
= 16 m²
Area of the figure = 40 + 16
= 56 m²