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devlian [24]
2 years ago
9

What is the variable in 3.2x + 5.1x = 41.5

Mathematics
1 answer:
Alex2 years ago
7 0
3.2x + 5.1x = 41.5
- add 3.2x and 5.1x
8.3x = 41.5
- divide both sides by 8.3
x = 5
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Answer:

7.)

Therefore FT is 33 unit.

8.)

Therefore SU is 98 unit.

Step-by-step explanation:

7.)

Given:

ΔFUT ~ ΔFHG

FU = 39

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FG = 110

To Find:

FT = ?

Solution:

ΔFUT ~ ΔFHG  ............Given

If two triangles are similar then their sides are in proportion.  

\dfrac{FU}{FH} =\dfrac{FT}{FG} \textrm{corresponding sides of similar triangles are in proportion}\\

Substituting the values we get

\dfrac{39}{130} =\dfrac{FT}{110}\\\\FT=\dfrac{110\times 39}{130}=33\\FT=33\ unit  

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8.)

Given:

ΔSTU ~ ΔFED

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To Find:

SU = ?

Solution:

ΔSTU ~ ΔFED  ............Given

If two triangles are similar then their sides are in proportion.  

\dfrac{ST}{FE} =\dfrac{SU}{FD} \textrm{corresponding sides of similar triangles are in proportion}\\

Substituting the values we get

\dfrac{63}{9} =\dfrac{SU}{14}\\\\SU=\dfrac{882}{9}=98\\\\SU=98\ unit

Therefore SU is 98 unit.

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