In the following figure, OQ and OR are internal bisectors of ZQ

Quadrilateral ABCD is similar to quadrilateral A'B'C'D'. Write 2 equations that could be used to solve for missing lengths?

deff fn [24]

Answer:

Rectangle, trapezoid, quadrilateral

Step-by-step explanation:

The quadrilateral is a parallelogram with perpendicular diagonals

7 0

3 years ago

Answers here or on your

AleksandrR [38]

Answer/Step-by-step explanation:

Given:

When Jada took 8 steps, Noah took 10 steps

When Jada took 12 steps, Noah took 15 steps

a. The following table can be created as follows given that x = steps taken by Jada, and y = steps taken by Noah:

From the info given, the ratio of Noah's steps to Jada's steps is 15 : 12 = 10 : 8 = 5 : 4 = ⁵/4.

Use this ratio to create a table of 3 pairs of values as shown below.

Jada's Steps (x) ===> Noah's steps (y)

4 ===> 5

8 ==> 10

12 ==> 15

b. The graph of that shows this relationship has been attached below. Check the attachment.

c. Constant of proportionality can be calculated in each representation as follows: y/x = k. Where y is steps taken by Noah, x is for steps taken by Jada, and I is constant of proportionality.

Thus,

Constant of proportionality (k) = 15/12 = ⁵/4

This means, for every 5 steps taken by Noah, Jada takes 4 steps.

This relationship is represented by the equation, y = ⁵/4x.

The ⁵/4 in the equation is the constant of proportionality of their relationship.

d. The equation, description, graph, and table all represent the same situation because they all show the same constant of proportionality between x and y.

In the equation, ⁵/4 represents the constant of proportionality. In the graph, the slope is ⁵/4, which is also the same last constant of proportionality.

In the table, the constant of change in each pair is ⁵/4 all through.

6 0

4 years ago

tyler enjoys the fish so much that, after his birthday , his family decides to take him to a famous aquarium. A tank at the aqua

Arturiano [62]

I'm not sure what your actually asking here but if the aquarium has a scale factor of 8 compared to Tyler's fish tank that means that the aquarium is 8 times bigger than his fish tank

8 0

3 years ago

Celebrity A has 400 followers on social media and is gaining 75 followers each day. Celebrity B has 1,000 followers on social me

MariettaO [177]

It takes 6 days for both of them to have same number of followers

<em><u>Solution:</u></em>

Let "x" be the number of days

<em><u>Celebrity A has 400 followers on social media and is gaining 75 followers each day</u></em>

We can frame a equation as:

Celebrity A : 400 + 75(number of days)

Celebrity A : 400 + 75x --------- eqn 1

<em><u>Celebrity B has 1,000 followers on social media, but is losing 25 followers a day</u></em>

We can frame a equation as:

Celebrity B : 1000 - 25(number of days)

Here we use negative sign to denote losing of followers

Celebrity B : 1000 - 25x --------- eqn 2

For both of them to have same number of followers, eqn 1 must be equal to eqn 2

$400 + 75x = 1000 - 25x\\\\\text{Solve the above equation for x}\\\\75x + 25x = 1000 - 400\\\\\text{Combine the like terms }\\\\100x = 600\\\\x = 6$

Thus it takes 6 days for both of them to have same number of followers

5 0

3 years ago

Given sin (-theta) = 1/5 and tan theta = sqrt.6/12

stich3 [128]

Given $sin (\theta) = \frac{1}{5}$ , and $tan \theta = \frac{\sqrt{6} }{12}$ , then:

$cos\theta=\frac{2\sqrt{6} }{5}$

<h3> Computations on trigonometric identities</h3>

From the details provided:

$sin (\theta) = \frac{1}{5}\ \\\\tan \theta = \frac{\sqrt{6} }{12} \times \frac{\sqrt{6} }{\sqrt{6} }\\\\tan \theta = \frac{\sqrt{6} \times \sqrt{6} }{12 \times \sqrt{6} }\\\\tan \theta =\frac{1}{2\sqrt{6} }$

From the relationship above:

Opposite = 1

Adjacent = $2\sqrt{6}$

Hypotenuse = 5

$cos\theta=\frac{Adjacent}{Hypotenuse} \\\\cos\theta=\frac{2\sqrt{6} }{5}$

Learn more on trigonometry here: brainly.com/question/20519838

3 0

3 years ago