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Sedaia [141]
3 years ago
9

Kayla rolls two numbers cubes numbered 1 to 6. What is the probability that the sum of the numbers rolled will be 5

Mathematics
1 answer:
nlexa [21]3 years ago
6 0

There are 2 cubes and each cube has 6 sides. There is a 1/6 chance of rolling a 5 for ONE cube (since each side is a different number ranging from 1 to 6). But, since we have to cubes, it would be 1/3. This is because your chance to roll a five is doubled due to 2 cubes.

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Step-by-step explanation:

In ΔCDE, m∠C = 30° and m∠E = 50°

Therefore by angle sum property of triangles

m∠C+m∠D+m∠E=180°

⇒m∠D=180°-m∠E-m∠C=180°-30°-50°=100°

⇒m∠D=100°

In ΔFGH, m∠G = 100° and m∠H = 50°

Similarly m∠F +∠G+m∠H=180°

⇒m∠F=180°-∠G-m∠H=180°-100°-50=30°

⇒m∠F=30°

Now ΔCDE and ΔFGH

m∠C=m∠F=30°,m∠D=m∠G=100°,m∠E=m∠H=50°

by AAA similarity criteria  ΔCDE ≈ ΔFGH but can't say congruent.

Congruent triangles are the pair of triangles in which corresponding sides and angles are equal . A congruent triangle is a similar triangle but a similar triangle may not be a congruent triangle.


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