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3 years ago

What is the missing justification in the proof?

Mathematics

2 answers:

nataly862011 [7]3 years ago

7 0

The missing justification in the proof is
<span>B) Substitution property of equality

The expression for sin</span>² x and cos² x is substituted to the other side of the equation. Since sin x = a/c, then sin² x = a²/c². Similarly, since cos x = b/c, then cos² x = b²/c². Adding to two results to the third statement.

Elenna [48]3 years ago

5 0

The <em>correct answer</em> is:

B) Substitution property of equality

Explanation:

sin²x and cos²x have been added together, making

sin²x + cos²x.

Since we know that sin x = a/c, this means that sin²x = (a/c)² = a²/c².

Since we know that cos x = b/c, this means that cos²x = (b/c)² = b²/c².

These two values have been substituted for sin²x + cos²x, making

a²/c² + b²/c².

Since we substituted, this means it is the substitution property of equality.

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Translate the inequality and solve. Three times a number is greater than six. 1 point

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Answer:

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Step-by-step explanation:

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2 years ago

What is the measure of angle A?

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Answer:

A = 29

Step-by-step explanation:

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2 years ago

I need the answer to this please help

Brums [2.3K]

Answer:

-1/11

Step-by-step explanation:

$\frac{11x}{12} -\frac{1}{6} =\frac{-1}{4}$ add 1/6 to both sides

$\frac{11x}{12} =\frac{1}{6} -\frac{1}{4}$ make the same denominator 12 on the right side

$\frac{11x}{12} =\frac{1}{6}*\frac{2}{2} -\frac{1}{4}*\frac{3}{3}$ solve

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2 years ago

How do you find the circumference of a circle??

Phoenix [80]

Answer:

how do you find the circumference of a circle??

C=2πr

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2 years ago

Read 2 more answers

Find the area of rectangle ABCD

satela [25.4K]

9514 1404 393

Answer:

D. 12

Step-by-step explanation:

There are a number of ways to find the area of this rectangle. Perhaps the most straightforward is to find the lengths of the sides and multiply those. The distance formula is useful.

d = √((x2 -x1)^2 +(y2 -y1)^2)

Using the two upper-left points, we find the length of that side to be ...

d = √((3 -0)^2 +(3 -0)^2) = √(9 +9) = √18 = 3√2

Similarly, the length of the lower-left side is ...

d = √((-2 -0)^2 +(-2 -0)^2) = √(4+4) = √8 = 2√2

Then the area of the rectangle is ...

A = LW

A = (3√2)(2√2) = 3·2·(√2)^2 = 3·2·2 = 12

The area of rectangle ABCD is 12.

_____

Other methods include subtracting the area of the corner triangles from the area of the bounding square:

5^2 -2(1/2)(3·3) -2(1/2)(2·2) = 25 -9 -4 = 12

4 0

2 years ago