When asked to find an equivalent expression to 3(8+7) 3(8+7) , james said 24 + 21. a) what property did james use? b) do you agree with james? explain.

  a) the distributive property

  b) Yes

Step-by-step explanation:

a) The distributive property of multiplication over addition tells you ...

  a(b+c) = ab +ac

James has a=3, b=8, c=7, so he can fill in the values to get ...

  3(8+7) = 3·8 +3·7

Taking this one step into the evaluation, James gets ...

  3(3+7) = 3·8 +3·7 = 24 +21 . . . . . . the result James reports

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b) Our result agrees with James' result, so we agree with James.

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°