Can I get some help with this question

Mathematics

1 answer:

vlada-n [284]3 years ago

6 0

<h2><u>Question</u> :</h2>

If a⁵ = 3⁵, simplify (2a)⁷ ?

3⁷
3⁸
6⁶
6⁷

<h2><u>Answer</u> :</h2>

D option 6⁷ is the right answer.

<h2><u>Explanation</u> :</h2>

<h3>Given :</h3>

a⁵ = 3⁵

(2a)⁷

<h3>Solution :</h3>

As, we have a⁵ = 3⁵

We know that if powers are equal then the base are also equal. In a⁵ = 3⁵, powers are equal on both sides so base will also be equal.

∴ a = 3

Now, we have to find (2a)⁷, so by substituting a = 3, we have :

⟹ (2a)⁷ = (2 × 3)⁷

⟹ (2a)⁷ = (6)⁷

⟹ (2a)⁷ = 6⁷

Therefore, correct answer is 6⁷.

Hence, correct option is D.

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Which statement is true about vertical angles. 1 point Vertical angles are congruent if two lines are parallel. If vertical angl

Serhud [2]

Answer:

Vertical angles are always congruent.

Step-by-step explanation:

Vertical angles are formed when two straight lines intersect each other, thereby forming two pairs of opposite angles, which are called vertical angles. Thus, a pair of these vertical angles formed are congruent to each other. So therefore, if two angles are said to be vertical angles, it follows that they are congruent to each other.

Using the diagram attached below, we can see two straight lines intersecting each other to form two pairs of vertical angles:

<a and <b,

<c and <d.

Thus, <a is congruent to <b, and <c is congruent to <d.

Therefore, the standby that is true about vertical angles is that:

Vertical angles are always congruent.