Describe the mental math steps you would use to find 7(42) (this is the distributive property by the way. :] )

Mathematics

2 answers:

Zarrin [17]2 years ago

5 0

Answer: 294

Break up 42 like so: 42 = 40 + 2

Then we can say,

7*(42) = 7*(40+2) = 7*40 + 7*2 = 280 + 14 = 294

The mental math part is knowing that 7*4 = 28, then you add on a zero to get 7*40 = 280. This is added to 7*2 = 14 to get the final answer above.

Katarina [22]2 years ago

3 0

Answer:

multiply 7 by 42

= 294

42 x 7 can be done as mental math, but that is challenging for some people.

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In triangle ABC, angle A is 75o and angle B is 20o. Select the triangle that is similar to triangle ABC.

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Answer:

A. $\triangle$ DEF where $\angle D = 75^{\circ}$ and $\angle E = 20^{\circ}$ .

Step-by-step explanation:

At first we must keep in mind that two triangles are similar when they have same angle configuration, that is, each pair of angles is congruent. If $\triangle$ ABC and $\triangle$ DEF, then $\angle A \equiv \angle D$ and $\angle B \equiv \angle E$ . Hence, $\angle D = 75^{\circ}$ and $\angle E = 20^{\circ}$ .