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3 years ago

HELPPP!!!! Complete the two-column proof by filling in the blanks.

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

4 0

Answer:

2. Substitution property

3. Given

4. Definition of congruent angles

5. Substitution property

6. Subtraction property of equality

7. Definition of congruent angles

8. Given

9. Definition of equilateral triangle

11. SAS (10, 7, 9)

Step-by-step explanation:

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A student gets 68 marks n therefore gets 85 percent total marks are?

mihalych1998 [28]

Answer:

There are 80 marks in total.

Step-by-step explanation:

Let the number of total marks be $x$ .

The percentage score of the student can be written as the ratio

$\displaystyle \frac{68}{x} = 85\%$ .

However,

$\displaystyle 85\% = \frac{85}{100}$ .

Equating the two:

$\displaystyle \frac{68}{x} = \frac{85}{100}$ .

Cross-multiply (that is: multiple both sides by $100x$ , the product of the two denominators) to get

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In other words, there are 80 marks in total.

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3 years ago

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3 years ago

Which of the following illustrates a phase shift?

Natasha_Volkova [10]

Answer:

A. y = -2 - cos(x-π)

Explanation:

The general form of the trig equation is:

y = A sin (Bx + C) + D

where:

A is the amplitude

$\frac{2\pi}{B}$ is the period

$\frac{-C}{B}$ is the phase shift

D is the vertical shift

Now, let's check the choices:

A. y = -2 - cos(x-π)

$\frac{-C}{B} = \frac{\pi}{1} = \pi$

Therefore, the function has a phase shift of π

B. y = 3 cos(4x)

$\frac{-C}{B} = \frac{0}{4} = 0$

Therefore, the function has no phase shift

C. y = tan(2x)

$\frac{-C}{B} = \frac{0}{2} = 0$

Therefore, the function has no phase shift

D. y = 1 + sin(x)

$\frac{-C}{B} = \frac{0}{1} = 0$

Therefore, the function has no phase shift

Based on the above, the correct answer is A

Hope this helps :)

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3 years ago

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HELPPP!!!! Complete the​ two-column proof by filling in the blanks.

HELPPP!!!! Complete the two-column proof by filling in the blanks.