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Firdavs [7]
4 years ago
15

A certain number exceeds 18 by as much as 44 exceed the number. What is the number?

Mathematics
1 answer:
asambeis [7]4 years ago
5 0

Answer:

x=31  is the required number.

Step-by-step explanation:

Let the number be represented as "x".

Then, According to the statement given, "x" exceeds by as much as 44 exceed the number, then the equation can be written as:

⇒x-18=44-x

⇒x+x=44+18

⇒2x=62

⇒x=31

Hence, the required number is x =31.

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Answer:

DG = 30

Step-by-step explanation:

Given:

DH = 6

DE = 4

EF = 16

Required:

DG

Solution:

DG = DH + HG

DG = 6 + HG

Let's find HG

Given that HE is parallel to the third side of ∆DGF, based on the side-splitter theorem, the other two sides of ∆DGF are divided proportionally.

Therefore,

DH/HG = DE/EF

6/HG = 4/16

Cross multiply

HG*4 = 16*6

HG = 96/4

HG = 24

✔️DG = 6 + HG

DG = 6 + 24

DG = 30

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