Consider the expression 25 – 10 ÷ 2 + 3. Part A
Which shows a way to rewrite the expression using parentheses so that the expression equals 23?
Select all that apply.
A. (25 – 10) ÷ 2 + 3 = 23
B. 25 – 10 ÷ (2 + 3) = 23
C. (25 – 10) ÷ (2 + 3) = 23
D. 25 – (10 ÷ 2) + 3 = 23
Part B
Which shows a way to rewrite the expression using parentheses so that the expression equals 3?
A. (25 – 10) ÷ 2 + 3 = 3
B. 25 – 10 ÷ (2 + 3) = 3
C. (25 – 10) ÷ (2 + 3) = 3
D. 25 – (10 ÷ 2) + 3 = 3

Given:

The expression is:

To find:

Part A: The expression using parentheses so that the expression equals 23.

Part B: The expression using parentheses so that the expression equals 3.

Solution:

Part A:

In option A,

                      [Using BODMAS]

In option B,

                     [Using BODMAS]

In option C,

In option D,

                    [Using BODMAS]

After the calculation, we have and .

Therefore, the correct options are B and D.

Part B: From part A, it is clear that

Therefore, the correct option is C.

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

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step-by-step explanation: