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2 years ago

Is vuw similar to vxy? if yes, explain how you know. if no, explain why not.

Mathematics

1 answer:

Semenov [28]2 years ago

3 0

Answer:

Yes, because m<UVW is congruent to m<XVY and m<VUW is congruent to m<VXY

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

In this problem

we know that

$m< VUW=55\°$

the measure of angle VXY is equal to

$m$ -----> by supplementary angles

$m$

therefore

$m< VUW=m$

Remember that

m<UVW=m<XVY -----> is the same vertex

therefore

Triangles VUW and VXY are similar by AAA Similarity Theorem ( the three angles are congruent)

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Which of the following notations correctly describe the end behavior of the polynomial graphed below?

algol13

The right answer is C

Let me to explain. From the graph we know that the vertex of this parabola is $V(0,8)$ . This is a maximum y-value. We also know that the parabola opens downward, so the leading coefficient is negative. Given that the function is even and the leading coefficient is negative, it follows that the graph falls to the left and right. In a mathematical language this is:

$x \rightarrow -\infty, f(x) \rightarrow -\infty \\ \\ x \rightarrow \infty, f(x) \rightarrow -\infty$

4 0

2 years ago

1 point) As reported in "Runner's World" magazine, the times of the finishers in the New York City 10 km run are normally distri

BigorU [14]

Answer:

(a) E (X) = 61 and SD (X) = 9

(b) E (Z) = 0 and SD (Z) = 1

Step-by-step explanation:

The time of the finishers in the New York City 10 km run are normally distributed with a mean,μ = 61 minutes and a standard deviation, σ = 9 minutes.

(a)

The random variable X is defined as the finishing time for the finishers.

Then the expected value of X is:

E (X) = 61 minutes

The variance of the random variable X is:

V (X) = (9 minutes)²

Then the standard deviation of the random variable X is:

SD (X) = 9 minutes

(b)

The random variable Z is the standardized form of the random variable X.

It is defined as: $Z=\frac{X-\mu}{\sigma}$

Compute the expected value of Z as follows:

$E(Z)=E[\frac{X-\mu}{\sigma}]\\=\frac{E(X)-\mu}{\sigma}\\=\frac{61-61}{9}\\=0$

The mean of Z is 0.

Compute the variance of Z as follows:

$V(Z)=V[\frac{X-\mu}{\sigma}]\\=\frac{V(X)+V(\mu)}{\sigma^{2}}\\=\frac{V(X)}{\sigma^{2}}\\=\frac{9^{2}}{9^{2}}\\=1$

The variance of Z is 1.

So the standard deviation is 1.

8 0

2 years ago

Micah and Crystal purchase two movie tickets. Tickets costs $8.50 each, drinks cost $3.50 each, and boxes of candy cost $3.00 ea

AysviL [449]

2t+2d+2c=30

2(8.50)+2(3.50)+2(3.00)=$30

t representing tickets d representing drinks c representing candy

the answer really depends on how much of each item they buy

if they bought more than 2 of each just change the 2 to the number of items bought

8 0

2 years ago

Billy's mother had five children. The first was named Lala, the second was named Lele, the third was named Lili, the fourth was

vovikov84 [41]

Answer:

billy

Step-by-step explanation:

its billy's mother. he/she is one of the children

4 0

2 years ago

A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes.

PSYCHO15rus [73]

Answer:

4 large boxes and 2 small boxes

Step-by-step explanation:

4 X 55 =220 books

2 X 30 = 60 books

Total = 280 books

6 0

2 years ago

Read 2 more answers