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2 years ago

Geometry Proof - please help ASAP

Mathematics

1 answer:

DanielleElmas [232]2 years ago

4 0

Answer:

If angle C is 90 degrees (def. of right angle) then the sum of angle A and B has to 90 degrees since angle A + B + C (90°) = 180°

Statements and Reasons:

3. Angle C is 90 degrees because of the definition of right angle.

4. Angle A + angle B + angle C is 180 degrees because of triangle sum.

5. Angle A + angle B + 90 = 180 because of substitution postulate.

6. Angle A + angle B is 90 degrees because of subtraction postulate. (subtract 90 from both sides from the equation above this step).

7. Angle A and angle B are complementary.

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Which expression has a value of 7/12 ? 7/8 + 4 , 1/3 + 1/4 , 6/8 + 1/4 , 2 1/12 + 5 1/12

vazorg [7]

Answer:

$\frac{1}{3} + \frac{1}{4}$

Step-by-step explanation:

We want to find an expression that has a value of

$\frac{7}{12}$

First option:

$\frac{7}{8} + 4 = \frac{7}{8} + \frac{32}{8} = \frac{39}{8} \ne \frac{7}{12}$

Second option:

$\frac{1}{3} + \frac{1}{4} = \frac{4}{12} + \frac{3}{12} = \frac{7}{12}$

Correct option

Third option

$\frac{6}{8} + \frac{1}{4} = \frac{3}{4} + \frac{1}{4} = 1$

Fourth option:

$2 \frac{1}{12} + 5 \frac{1}{12} = \frac{43}{6}$

5 0

3 years ago

Factor the expression:

Dovator [93]

Answer:

B) (4x-5i)(4x+5i)

Step-by-step explanation:

The expression can be treated as the difference of squares, and factored accordingly. That factoring is ...

a² -b² = (a -b)(a +b)

Here, we have ...

a² -b² = 16x² -(-25)

a² = 16x² ⇒ a = 4x

b² = -25 ⇒ b = √-25 = 5i

Then the factoring is ...

(a -b)(a +b) = (4x -5i)(4x +5i)

6 0

2 years ago

Write an arithmetic expression that calculates the average of 18 and 46. you may already know that: the average of two numbers i

Masteriza [31]

In this question , we have to write an arithmetic expression that calculates the average of 18 and 46.

TO find the average, we have to add the numbers and divide by 2.

So here we have to add 18 and 46 and divide by 2, that is

$d = \frac{18+46}{2} = \frac{64}{2}$

And that's the required algebraic expression .

8 0

3 years ago

HELP ME!!!!! Which choices are equivalent to the fraction below? CHECK ALL THAT APPLY.

slavikrds [6]

Answer:

A and E

Step-by-step explanation:

9^3 / 9^3

Same number on top and bottom so 1 is an answer

look at the exponents, when dividing with exponents, you just subtract them, so it could also be 9^0, which is also 1

3 0

3 years ago

Read 2 more answers

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Volgvan

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4 0

3 years ago