All categories

3 years ago

Are the triangles similar? If yes, write a similarity statement and give a scale factor (k).

Mathematics

1 answer:

Irina-Kira [14]3 years ago

5 0

Answer:

choice 2) Yes

Triangle ACB is congruent to triangle XZY because of the Side-Side-Side theorem

k = 1.5

You might be interested in

Let X be a continuous random variable with density functionf(x)={1−|x|0 for −1

BlackZzzverrR [31]

Answer:

$f_Y (y) =\frac{d}{dy} = 2 \frac{1}{2 |\sqrt{y}|} -1 = \frac{1}{|\sqrt{y}|} -1,0 \leq Y\leq 1$

Step-by-step explanation:

For this case we want to find the density function for $Y=X^2$

And we have the following density function for the random variable X:

$f(X) = 1- |X|,-1 \leq X \leq 1$

So we can do this replacing $Y=X^2$

$F_Y (Y \leq y) = P(X^2 \leq y)$

If we apply square root on both sides we got:

$P(-\sqrt{y} \leq X \leq \sqrt{y}) = \int_{-\sqrt{y}}^0 1+t dt +\int_{0}^{\sqrt{y}} 1-t dt$

And if we integrate we got this:

$F_Y (y) = [t+ \frac{t^2}{2}] \Big|_{-\sqrt{y}}^0+ [t -\frac{t^2}{2}] \Big|_{0}^{\sqrt{y}}$

And replacing we got:

$F_Y (y) = [0 -(-\sqrt{y} +\frac{y}{2})] + [\sqrt{y} -\frac{y}{2}]$

$F_Y (y) = 2 |\sqrt{y}| -y$

And if we want to find the density function we just need to derivate the pdf like this:

$f_Y (y) =\frac{d}{dy} = 2 \frac{1}{2 |\sqrt{y}|} -1 = \frac{1}{|\sqrt{y}|} -1,0 \leq Y\leq 1$

3 0

4 years ago

Bags of flour at a local grocery store have a mean weight of 83 ounces with a standard deviation of 2 ounces. The manufacturer o

tangare [24]

Answer is 80.4 ounces :)!!!!

6 0

3 years ago

Read 2 more answers

Draw the image of ABCD under dilation using the center P and the scale factor of 1/2.

larisa86 [58]

The image is gonna look like this.

6 0

3 years ago

Read 2 more answers

How it’s worded is confusing me...

Sergeu [11.5K]

So u hav two numbers one is the multiple of another (so like 2 and 4) ( it can go into the other number) then the least common multiple of the other
I think an answer would be if u do 2 and 4 the LCM would be 2 (don’t know if I’m right not sure about my LCM)

3 0

3 years ago

Which statement about the functions Is true

jarptica [38.1K]

Answer:

the first option is the correct answer

8 0

3 years ago