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dalvyx [7]
2 years ago
9

Quadrilateral P Q R S is shown. Diagonals are drawn from point Q to point S and from point P to point R and intersect at point M

. Sides P S and R S are congruent. If quadrilateral PQRS is a kite, which statements must be true? Select three options QP ≅ QR PM ≅ MR QR ≅ RS ∠PQR ≅ ∠PSR ∠QPS ≅ ∠QRS
Mathematics
2 answers:
kobusy [5.1K]2 years ago
7 0
Your anwser for your question is QP Qr and Qrs
AysviL [449]2 years ago
4 0

Answer:

QP = QR

PM = MR

QRS = QPS

Step-by-step explanation:

took the test haha

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HURRY!!!<br><br> How is completing the square beneficial?<br><br> (in quadratic equation)
givi [52]
"Completing the square" is a step in the solution of quadratic equations. It can be accomplished without the guesswork or trial-and-error associated with methods like factoring, and it always leads to a solution. It is the method by which the quadratic formula is derived.
7 0
3 years ago
What is the value of x?
adelina 88 [10]

This is an equilateral triangle, which is a triangle that has 3 congruent/equal sides and 3 congruent angles.


To find "x", you can set the sides equal to each other because they are suppose to be the same length (you can just do two sides because all of the sides are the same)

[Side AB = Side BC]

4x - 10 = 3x + 2     Subtract 3x on both sides

x - 10 = 2         Add 10 on both sides

x = 12


[proof]

Side AB:

4x - 10    Plug in 12 for x

4(12) - 10 = 48 - 10 = 38


Side BC:

3x + 2     Plug in 12 for x

3(12) + 2 = 36 + 2 = 38


Side AC:

5x - 22      Plug in 12 for x

5(12) - 22 = 60 - 22 = 38




This is also an equilateral triangle (the tick marks show that the sides are the same)

A triangle is 180°. So the three angles add up to 180°.

Since this is an equilateral triangle, all the angles should be the same.

Each angle is 60°

[60° + 60° + 60° = 180°   or you could have divided 180 by 3 = 60]


Now that you know each angle is 60°, you can do:

(2x - 4)° = 60°

2x - 4 = 60    Add 4 on both sides

2x = 64    Divide 2 on both sides

x = 32


4 0
3 years ago
Juan scored a total of 168 points in basketball this season. He scored 147 of those points in the regular season, and the rest w
Natalka [10]

Answer:

The answer to your question is 12.5 %

Step-by-step explanation:

Data

Total points = 168

Points scored in the regular season = 147

Percent of points scored in the playoff game = ?

Process

1.- Calculate the points scored in the playoff game

  Points in playoff game = 168 - 147

                                          = 21

2.- Calculate the percent of points scored in the playoff game using proportions

                      168 points -------------------- 100%

                        21 points --------------------- x

                        x = (21 x 100) / 168

                        x = 2100 / 168

                        x = 12.5 %

8 0
3 years ago
Read 2 more answers
Wires manufactured for use in a computer system are specified to have resistances between 0.11 and 0.13 ohms. The actual measure
Marina CMI [18]

Answer:

a) P(0.11

And we can find this probability with this difference and with the normal standard table or excel:

P(-1.11

b) P(0.11 < \bar X < 0.13)

And we can use the z score defined by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And using the limits we got:

z = \frac{0.11-0.12}{\frac{0.009}{\sqrt{4}}}= -2.22

z = \frac{0.13-0.12}{\frac{0.009}{\sqrt{4}}}= 2.22

And we want to find this probability:

P(-2.22< Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part a

Let X the random variable that represent the resitances of a population, and for this case we know the distribution for X is given by:

X \sim N(0.12,0.009)  

Where \mu=0.12 and \sigma=0.009

We are interested on this probability

P(0.11

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(0.11

And we can find this probability with this difference and with the normal standard table or excel:

P(-1.11

Part b

We select a sample size of n =4. And since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we want this probability:

P(0.11 < \bar X < 0.13)

And we can use the z score defined by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And using the limits we got:

z = \frac{0.11-0.12}{\frac{0.009}{\sqrt{4}}}= -2.22

z = \frac{0.13-0.12}{\frac{0.009}{\sqrt{4}}}= 2.22

And we want to find this probability:

P(-2.22< Z

4 0
3 years ago
Read 2 more answers
How do you write the algebraic expression: x=-2.5 like i mean the answer
Ganezh [65]

Answer:

2.5 × t = 2.5 t

Step-by-step explanation:

5 0
3 years ago
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