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meriva
3 years ago
6

Seven and thirty twp hundreths plus two and one tenth times two and seven tenths minus 18a

Mathematics
1 answer:
alexdok [17]3 years ago
7 0
Answer:  Write the expression as:

" 70 \frac{32}{100} +
                         2\frac{1}{10} * 2\frac{7}{10 − 18a " ; 
______________________________________________________
or;  write as:
______________________________________________________
           " 70.32  + (2.1) * (2.7)  − 18a " ; 
______________________________________________________

To simplify:
______________________________________________________

  Using "PEDMAS" (the "order of operations") ; 

the "multiplication" comes first; 

So:  →  "(2.1) * (2.7) =  5.67 " .

And rewrite:
______________________________________________________
 " 70.32  + 5.67 − 18a " .

Now:  " 70.32 + 5.67 = 75.99 " ; 

So, we can the final simplified expression as:
______________________________________________________
   " 75.99  −  18a " ;  

or; write as:  " 75\frac{99}{100}  −  18a " .
______________________________________________________
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Given: ABCD trapezoid<br> BC=1.2m, AD=1.8m<br> AB=1.5m, CD=1.2m<br> AB∩CD=K<br> Find: BK and CK
stepladder [879]

Answer:

The value of BK is 3m and the value of CK is 2.4m.

Step-by-step explanation:

Given information: ABCD trapezoid

, BC=1.2m, AD=1.8m

, AB=1.5m, CD=1.2m

, AB∩CD=K.

Using the given information draw a figure.

Two sides of a trapezoid are parallel.

Since AB∩CD=K, therefore AB and CD are not parallel, because parallel line never intersect.

AD\parallelBC

\angle KBC=\angle KAD              (Corresponding angles)

\angle KCB=\angle KDA             (Corresponding angles)

By AA rule of similarity

\triangle KBC\sim \triangle KAD

Corresponding sides of similar triangles are proportional.

\frac{KB}{KA}=\frac{KC}{KD}=\frac{BC}{AD}

\frac{x}{x+1.5}=\frac{y}{y+1.2}=\frac{1.2}{1.8}

\frac{x}{x+1.5}=\frac{1.2}{1.8}

\frac{x}{x+1.5}=\frac{2}{3}

3x=2x+3

x=3

The length of BK is 3 m.

\frac{y}{y+1.2}=\frac{1.2}{1.8}

\frac{y}{y+1.2}=\frac{2}{3}

3y=2y+2.4

y=2.4

The length of CK is 2.4 m.

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2 years ago
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Step-by-step explanation:

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Answer:


Step-by-step explanation:

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Step-by-step explanation:

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