Ask question

Ask question

All categories

3 years ago

10

Kite WXYZ has a short diagonal of XZ and a long diagonal of WY. The diagonals intersect at point V. The length of XZ = 8cm, and

the measure of ∠XYV is 30 degrees. Find the length of segment VY. 16cm 8√3cm 8cm 4√3cm

2 answers:

Igoryamba3 years ago

4 0

The best and most correct answer among the choices provided by the question is the first choice. Based on my calculations, the length of segment Vy is 16 cm. I hope my answer has come to your help. God bless and have a nice day ahead!

xeze [42]3 years ago

3 0

Answer:

(D)

Step-by-step explanation:

It is given that Kite WXYZ has a short diagonal of XZ and a long diagonal of WY. The diagonals intersect at point V. The length of XZ = 8cm, and the measure of ∠XYV is 30°.

We know that the diagonals are the perpendicular bisectors of each other, therefore $XZ=ZV+VX$ ⇒ $ZV=VX=4 cm$ .

Now, from ΔVXY using trigonometry, we get

$\frac{XV}{VY}=tan30^{\circ}$

Substituting the given values, we get

$\frac{4}{VY}=\frac{1}{\sqrt{3}}$

$VY=4\sqrt{3} cm$

Therefore, the length of the segment VY is $4\sqrt{3} cm$ .

Hence, option D is correct.

You might be interested in

Given: JP = KP; PX = PY<br> Prove: APYJ - APXK<br> Which best describes the missing reasons?

Alex73 [517]

Answer:

SAS Reflective property

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Which mathematical symbol would best fill in the blank to compare the two real numbers?

VikaD [51]

1st option, <

sqroot of 7 is 2.6, 14/5 is 2.8.

2.8 is bigger than 2.6

5 0

3 years ago

Peter is a 40-year-old average income earner. He is ready to start planning for retirement, and plans to make the maximum possib

Bad White [126]

Roth IRA doesn't get you a tax deduction for the contributions, but the earnings grow tax free and you don't pay tax on the withdrawals after retirement. A traditional IRA gives you a tax deduction for the contributions at the time you make them, and the earnings grow tax free, but when you withdraw the money after retirement, you are taxed on it. The idea is that you are hopefully in a lower tax bracket at that point. So its only natural that Roth IRA is the best.

6 0

3 years ago

Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well

laiz [17]

Answer:

The value is $P(A) = 0.133617$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 7.5$

The standard deviation is $\sigma = 0.2$

The safest water level is between 7.2 and 7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

$P(A) = 1 - P(7.2 \le X \le 7.8 )$

Here

$P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } < \frac{X - \mu }{ \sigma }$

Generally $\frac{X - \mu }{ \sigma } = Z (The \ standardized \ value \ of X )$

So

$P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z$

$P(7.2 < X < 7.8 ) = P(-1.5 < Z$

=> $P(7.2 < X < 7.8 ) = P(Z < 1.5) - P( Z < - 1.5)$

From the z-table the probability of (Z < -1.5) and ( Z <1.5) are

$P(Z < 1.5) = 0.93319$

and

$P(Z < -1.5) = 0.066807$

So

$P(7.2 < X < 7.8 ) =0.93319 - 0.066807$

$P(7.2 < X < 7.8 ) =0.0866383$

So

$P(A) = 1 - 0.0866383$

=> $P(A) = 0.133617$

5 0

2 years ago

The value of x is and the value of y is

storchak [24]

Since the slope is 2/3, for every time the x-value increases by 1
the y-value increases by 2/3.

The answer to x is found by finding the difference between 3 and 5, which is 2.
2/3 goes into that 3 times.
So subtract 2 from -2 to get -4.
The x-value is -4.

The answer for the y-value is given earlier:
the original point of (-2,5).
The y-value is 5.

Hope this helps!

6 0

2 years ago