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baherus [9]
3 years ago
6

Use the distributive property to simplify the following expression -2(x+3)

Mathematics
1 answer:
lukranit [14]3 years ago
5 0

Answer:

-2x - 6

Step-by-step explanation:

-2(x + 3)

-2 · x = -2x

-2 · 3 = -6

-2x - 6

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Each interior angle of a regular n-sided polygon is 150 degrees. How many sides does the polygon have?
notsponge [240]
The sum of the interior angles of the polygon = (n - 2) x 180 .

(n - 2) x 180 = (n x 150)

180n - 360 = 150n

Add 360 to each side:

180n = 150n + 360

Subtract 150n from each side:

30n = 360

Divide each side by 30 :

<u>n = 12</u>
5 0
3 years ago
Find the volume of the pyramid. round to the nearest hundredth
hichkok12 [17]

Answer:

A. 17.35 mm³

Step-by-step explanation:

<u>Volume of a Pyramid</u>

V = \frac{1}{3}Bh

V ... volume

B ... area of base

h ... height

The base of this pyramid is a square. Area of a square is side times side.

B = 3.5 \times 3.5

Let's substitute in the formula.

V = \frac{1}{3}Bh\\\\V = \frac{1}{3}(3.5\times 3.5)(4.25)\\\\V = \frac{1}{3}(12.25)(4.25)\\\\V \approx 17.35417 \text{ mm}^3

Now let's round to the nearest hundredth.

V = 17.35 mm³

6 0
2 years ago
If both pairs of opposite sides of the quadrilateral are congruent, then the quadrilateral is a?
Bond [772]

Answer:

B (parallelogram)

Step-by-step explanation:

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5 0
3 years ago
NEED HELP ASAP!!! WHOEVER GETS THE ANSWER RIGHT GETS THE MOST BRAINIEST
lorasvet [3.4K]

Answer:

268.08

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Prove that the inequality (a+1)·(a+1)&gt;(a−1)·(a−1) is not true for some values of a.
Effectus [21]

Explanation:

Consider the case a = -1. Then the expression becomes ...

  (-1+1)(-1+1) > (-1-1)(-1-1) . . . . test case

  0·0 > (-2)(-2) . . . . . simplified a bit

  0 > 4 . . . . . . . . NOT TRUE

_____

If we subtract the right side from both sides, the inequality becomes ...

  (a+1)(a+1) -(a-1)(a-1) > 0

  a² +2a +1 -(a² -2a +1) > 0

  4a > 0

  a > 0

The inequality is only true for positive values of "a". For a ≤ 0, the inequality will not be true.

7 0
4 years ago
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