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3 years ago

Identify all sets of parallel and perpendicular lines in this image.

Mathematics

1 answer:

uysha [10]3 years ago

6 0

Answer:

All four options are correct.

Step-by-step explanation:

Option 1

m∠DPQ = m∠FQB = 90° [Corresponding angles theorem]

By the converse property of corresponding angles theorem,

CD║EF

Since, angle between AB and CD is 90°,

AB⊥CD

True

Option 2

Since, angles between AB and EF is 90°, both will be perpendicular.

AB ⊥ EF

AB ⊥ CD

True

Option 3

CD║EF and AB ⊥ EF

True

Option 4

CD║EF, AB ⊥ CD and AB ⊥ EF

True

Therefore, all options are correct.

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Mateo is constructing an equilateral triangle inscribed in a circle with center P. He draws the diameter of the circle through c

GenaCL600 [577]

Reading the question carefully, "<span>He draws the diameter of the circle through center P using a straight edge. Next he opens his compass to a width equivalent to the radius of the circle." - that implies that Mateo is still in the process of drawing the circle by which the equilateral is inscribed to.

The next steps should be:
*He should draw the upper and lower arcs using the compass opened to a width equivalent to the radius of the sircle.
*Make a vertical diameter using centroid P as basis.
*Draw two right triangles facing the opposite directions using the top most point by which the vertical diameter of the circle touches the top most circumference of the circle.

Doing these steps, Mateo will be able to draw an equilateral triangle inscribed in a circle.
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3 years ago

Use the following function rule to find f(28).

IrinaVladis [17]

What following function tool?

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3 years ago

Susan is going to watch a movie in her collection she has 5 action movies 4comedies and 3 dramas she will randomly select one mo

Ivenika [448]

Answer:

9/12 or 75%.

Step-by-step explanation:

Let's first add the choices all up.

5+4+3= 12.

We have 12 movie choices in total.

Now, we know that we have 3 drama movie choices...so the chance we will choose drama is 3/12, but we are not finding that. We want the chance she will NOT choose drama, so that would be 9/12.

*Since the chance she will choose drama is 3/12, the chance she will not choose is 9/12. 9+3 is 12, the total amout.*

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2 years ago

i need help with this equation please there are two more possible answers that were cut off they are 17,2% and 19,5%

Margarita [4]

Consider that the experimental probability of an event is based upon the previous trials and observations of the experiment.

The experimental probability of occurrence of an event is given by,

$\text{Probability of an event}=\frac{\text{ Number of outcomes that favoured the event}}{\text{ Total number of trials or outcomes}}$

As per the problem, there are a total of 1230 trials of rolling a dice.

And the favourable event is getting a 2.

The corresponding experimental probability is calculated as,

$\begin{gathered} P(\text{ getting a 2})=\frac{\text{ No. of times 2 occurred}}{\text{ Total no. of times the dice is thrown}} \\ P(\text{ getting a 2})=\frac{172}{1230} \\ P(\text{ getting a 2})\approx0.13984 \\ P(\text{ getting a 2})\approx13.98\text{ percent} \end{gathered}$

Thus, the required probability is 13.98% approximately.

Theref

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1 year ago

4(3m-8)=-80 solve each equation for the given variable

Bingel [31]

12m-32=-80
12m=-80+32
12m=-48
m=-4

8 0

3 years ago