Ask question

Ask question

All categories

4 years ago

7

Described below are the first two steps for constructing a parallel line through a point. 1. Start with a line PQ and a point R

off the line. 2. Draw a transverse line through R and across the line PQ at an angle, forming the point J where it intersects the line PQ. What is the exact angle required in step 2?

2 answers:

DiKsa [7]4 years ago

6 0

No exact angle is the answer :)

Juliette [100K]4 years ago

3 0

Angle RJQ.

We can use this angle to create Alternate interior angles and draw the other line parallel to PQ.

You might be interested in

The data in the table are linear. Use the table to find the slope.

Gemiola [76]

Answer:

$m = -\frac{3}{2}$

Step-by-step explanation:

Given

x 2 4 6 8

y 1 -2 -5 -8

Required

Determine the slope

First, pick any two corresponding x and y values.

$(x_1,y_1) =(2,1)$

$(x_2,y_2) =(8,-8)\\$

The slope (m) is then calculated using:

$m = \frac{y_1 - y_2}{x_1 - x_2}$

Substitute in, the x and y values

$m = \frac{1 - (-8)}{2- 8}$

$m = \frac{1 +8}{-6}$

$m = \frac{9}{-6}$

$m = -\frac{9}{6}$

Divide numerator and denominator by 3

$m = -\frac{9/3}{6/3}$

$m = -\frac{3}{2}$

<em>Hence, the slope is -3/2</em>

8 0

3 years ago

Can someone fr help me with this like right now i’ll appreciate it sm

rjkz [21]

Step-by-step explanation:

Since

$\frac{108}{72} = \frac{3}{2}$

$\frac{72}{48} = \frac{3}{2}$

$\frac{48}{32} = \frac{3}{2}$

The function has a constant factor so we have a exponential function.

The equation of a exponential function is

$y = a(b) {}^{x}$

Where a is the initial value and b is the growth factor

The growth factor is 3/2,

The initial value in 32

$y = 32 ( \frac{3}{2} ) {}^{x}$

Plug in 4 for x.

You will get 162

Plug in 5 for x you will get

243.

2013- 162

2014- 243

8 0

2 years ago

Which function increases by 1/3 every time the X increases by 1?

Olegator [25]

Answer: The correct answer is y = 1/3 x +1

Step-by-step explanation:

5 0

4 years ago

Karen bought 6 CDs that were each the same price. Including sales tax, she paid a total of $71.40. Each CD had a tax of $1.10. W

sleet_krkn [62]

Answer:

$10.80

Step-by-step explanation:

Given:

Total number of CDs = 6

Cost price (including tax) = $71.40

Each CD had a tax of $1.10

To find the price of each CD before tax Let's first find the price of each CD after tax.

Price after tax = $\frac{71.40}{6} = 11.90$

Price of each CD after tax = $11.90

Since each CD had a tax of $1.10, price of each CD before tax would be : $11.90 - $1.10 = $10.80

Therefore price of each CD before tax is $10.80

8 0

3 years ago

Which logarithmic equation is equivalent to the exponential equation below?

aleksandr82 [10.1K]

Option B: $\ln 6=5 x$ is the correct answer.

Explanation:

The exponential equation is $e^{5 x}=6$

If $f(x)=g(x)$ , then $\ln (f(x))=\ln (g(x))$

Thus, the equation becomes

$\ln \left(e^{5 x}\right)=\ln (6)$

Applying log rule, $\log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x)$ and thus the equation becomes

$5 x \ln (e)=\ln (6)$

Since, we know that, $\ln (e)=1$ , using this we get,

$5 x=\ln (6)$

Hence, the logarithmic equation which is equivalent to the exponential equation $e^{5 x}=6$ is $\ln 6=5 x$

Thus, Option B is the correct answer.

7 0

3 years ago