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sdas [7]
3 years ago
13

Tom has 25 bumblebee marbles and Marcus has a few more than Tom. If they have 56 marbles in all, how many bumblebee marbles does

Marcus have?
Mathematics
2 answers:
vodomira [7]3 years ago
6 0

Answer:

56-25

= 31

Step-by-step explanation:

ValentinkaMS [17]3 years ago
6 0

Answer: Marcus has 31 marbles

Step-by-step explanation: Tom has 25 marbles and there is 56 total so you subtract 25 from 56 and it sums up to 31. Your welcome.

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What is the measure of angle ACB?
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Answer:

Linear pair is a pair of adjacent angles formed when two lines intersect.

so, \angle EAB and \angle CAB are linear pairs.

Linear pairs are always supplementary.

therefore,

\angle EAB+\angle CAB=180^{\circ}              ......[1]

Also, it is given in figure, \angle EAB = 108^{\circ}

Substitute in [1], we get;

108^{\circ}+\angle CAB=180^{\circ}

Simplify:

\angle CAB =180^{\circ}-108^{\circ}=72^{\circ}

Exterior- Angle sum Property states that if the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle.

then by Exterior angle sum property ;

\angle ACB+\angle CAB =\angle CBF

Substitute the values given in the figure;

\angle ACB+72^{\circ}=145^{\circ}

simplify;

\angle ACB =145-72 = 73^{\circ}

therefore, the measure of angle ACB is, 73^{\circ}



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