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Tju [1.3M]
3 years ago
6

If both pairs of opposite angles of a quadrilateral are __________, then the quadrilateral is a parallelogram.

Mathematics
1 answer:
lara [203]3 years ago
5 0

Answer:

Obtuse

Step-by-step explanation:

Angles of a parallelogram are supplementary to it's adjacent angles . One pair of opposite angles of a parallelogram is obtuse & other pair is acute . Here in the figure , ∠DAB & ∠BCD are obtuse angles and also opposite to each other whereas ∠ADC & ∠ABC are acute angles and are opposite to each other.

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How do I Simplify i^54
yanalaym [24]

Answer:

i^{54}=-1

Step-by-step explanation:

First, recall the 4 basic imaginary exponents:

i^1=i \text{, }i^2=-1\text{, }i^3=-1\text{ and } i^4=1

So, we want to find:

i^{54}

This is the same as:

=i^{52}\cdot i^2

52 is 4 times 13. Thus:

=(i^4)^{13}\cdot i^2

Since we know that i to the fourth is 1:

=(1)^{13}\cdot i^2

Simplify:

=i^2

And this equals:

=-1

So:

i^{54}=-1

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3 years ago
What is the volume of a sphere having a radius of 6 in.
Blababa [14]

Answer:

V≈904.78in³

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Describe the error made when converting the equation to vertex form.
ale4655 [162]

Answer:

adding 36

Step-by-step explanation:

should be:

y-27=x²-12x

y-27=x²-12x

+12 +12

y-15=x²+x

y-15=x³

+15 +15

y=15x³

3 0
3 years ago
Resolute academy algebra 1
Goryan [66]

Answer:

B

Step-by-step explanation:

We can see in the expression that there are 2 x² blocks, 4 -x blocks, and 3 -1 blocks. Therefore, we can write this as

2 * x² + 4 * (-x) + 3 * (-1) = 2x²-4x-3

Comparing this with each answer, we have

A: x²-2x-4 + x² + 2x-1 = 2x²-5. This is not correct

B: 3x²-7x+1-(x²-3x+4) = 3x²-7x+1 -x²+3x-4 = 2x²-4x-3. This seems correct but we can check the other answers to be sure

C: (2x+1)(x-3) = 2x²-6x+x-3 = 2x²-5x-3. This is incorrect

D: \frac{8x^{12} - 16x^7 - 12x^6}{4x^6} = 2x^6 - 4x - 3. This is incorrect

3 0
3 years ago
What is the next number? 2+3=8 3+7=27 4+5=32 5+8=60 6+7=72 7+8=?
ale4655 [162]

Answer:

<h2>7 + 8 = 98</h2>

Step-by-step explanation:

2 + <em>3</em> = <u>8</u>

<u>8</u> : 2 = 4; 4 - 1 = <em>3     (subtract 1)</em>

3 + <em>7</em> = <u>27</u>

<u>27</u> : 3 = 9, 9 - 2 = <em>7     (subtract 2)</em>

4 + <em>5</em> = <u>32</u>

<u>32</u> : 4 = 8; 8 - 3 = <em>5     (subtract 3)</em>

5 + <em>8</em> =<u>60</u>

<u>60</u> : 5 = 12, 12 - 4 = <em>8     (subtract 4)</em>

6 + <em>7</em> = <u>72</u>

<u>72</u> : 6 = 12, 12 - 5 = <em>7     (subtract 5)</em>

7 + <em>8</em><em> </em>= <u>x</u>

<u>x</u> : 7 = y, y - 6 = <em>8     (subtract 6)</em>

Solve:

y - 6 = 8         <em>add 6 to both sides</em>

y - 6 + 6 = 8 + 6

y = 14

<u>x</u> : 7 = y ⇒ <u>x</u> : 7 = 14 ⇒ <u>x</u> = (14)(7) ⇒ <u>x</u> = 98

8 0
3 years ago
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