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2 years ago

Due tonight, plz help

Mathematics

2 answers:

NemiM [27]2 years ago

8 0

<h3>Answer: 12 (choice D)</h3>

=========================================

Work Shown:

Angle DCA = 15 degrees (given in diagram)

Angle BAC = 15 degrees, since BAC and DCA are alternate interior angles, so they are congruent to one another. This works because AB is parallel to CD.

Ignore point D. Focus on triangle BAC only. Two angles are known: A = 15, B = 153. Solve for angle C

A+B+C = 180

15+153+C = 180

C+168 = 180

C = 180-168

C = 12

For triangle ABC (ignore point D) the angle C is 12 degrees. If D is involved in the diagram, angle BCA is 12 degrees.

aleksandrvk [35]2 years ago

5 0

Answer:

the correct answer is 165

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Answer:

x = 3

Step-by-step explanation:

We are told that the length of a side of the square is x.

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2 years ago

Read 2 more answers

What is the directrix of the parabola defined by `(1)/(4)(y + 3) = (x − 2)^2`?

Sauron [17]

The directrix of the parabola is $y = \frac {-49}{16}$

<h3>How to determine the equation of the directrix?</h3>

The parabola equation is given as:

$\frac 14(y + 3) = (x -2)^2$

A parabola is represented as:

$4p(y - k) =(x -h)^2$

By comparing both equations, we have:

4p = 1/4 ==> p = 1/16

-k= 3 ==> k = -3

The directrix is represented as:

y = k - p

So, we have:

$y = -3 - \frac 1{16}$

Take the LCM

$y = \frac {-16 * 3- 1}{16}$

Evaluate

$y = \frac {-49}{16}$

Hence, the directrix of the parabola is $y = \frac {-49}{16}$

*Due tonight, plz help*

Due tonight, plz help