Answer:
Step-by-step explanation:
Given: tape diagram
To find: an equation to represent the image
Solution:
In the image, the area of the tape diagram indicating 1.75 is equal to the sum of areas of all the five parts in the diagram such that each part indicates n.
So, according to the given information, the equation is .
Here, we have assumed that 1.75 represents an area of the first rectangle, and n represents the area of each of the small rectangle.
Answer:
Step-by-step explanation:
Given :
In the given quadrilateral ABCD,
BN and DM are the perpendiculars drawn to AC such that,
BN = DM
To prove:
Point O is the midpoint of segment BD.
Or
OD = OB
Solution:
In ΔOMD and ΔONB,
∠MOD ≅ NOB [Vertical angles]
∠M ≅ ∠N ≅ 90° [Given]
Therefore, by AA property of similarity,
ΔOMD ~ Δ ONB
Therefore, their corresponding sides will be proportional,
Since BN = DM,
OD = OB
Hence O is the midpoint of BD.