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3 years ago

Which pair of triangles appear to be congruent? check all that apply

Mathematics

2 answers:

Ratling [72]3 years ago

7 0

All three sides are the same size

Gala2k [10]3 years ago

3 0

C triangles 1 and triangles
3

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I have this problem for hw and it’s due tomorrow. can someone please help me? (it’s y-4 not 4-4)

Vesnalui [34]

Answer:

All real numbers

Step-by-step explanation:

$-2(y - 4) = 20 - 2y - 12$

Start by distributing -2 inside the parentheses.

$-2y + 8 = 20 - 2y - 12$

Combine like terms on the right side of the equation.

$-2y + 8 = 8 - 2y$

Subtract 8 from both sides of the equation.

$-2y =- 2y$

Divide both sides by -2 to isolate y.

$0=0$

This is a true statement, so there are infinite solutions.

3 0

4 years ago

chegg Y=4X−2 XX has a PDF of f_X(x)=\begin{cases} 3e^{-3x} & 0 \leq x \\ 0 & \text{otherwise}\end{cases}f X (x)={ 3e −

Licemer1 [7]

$\Bbb E[Y^2] = \Bbb E[(4X - 2)^2]$

so by definition of expectation,

$\Bbb E[Y^2] = \displaystyle \int_{-\infty}^\infty (4x-2)^2 f_X(x) \, dx = \int_0^\infty 3(4x-2)^2 e^{-3x} \, dx$

Integrate by parts (twice).

$\displaystyle \int_a^b u\,dv = uv\bigg|_a^b - \int_a^b v\,du$

First, let

$u = (4x-2)^2 \implies du = 8(4x-2)\,dx \\\\ dv = 3e^{-3x} \, dx \implies v = -e^{-3x}$

so that

$\displaystyle \Bbb E[Y^2] = -(4x-2)^2 e^{-3x} \bigg|_{x=0}^{x\to\infty} + 8 \int_0^\infty (4x-2) e^{-3x} \, dx \\\\ ~~~~ = 4 + 8 \int_0^\infty (4x-2) e^{-3x} \, dx$

Next,

$u = 4x-2 \implies du = 4\,dx \\\\ dv = e^{-3x} \, dx \implies v = -\dfrac13 e^{-3x}$

so that

$\displaystyle \Bbb E[Y^2] = 4 + 8 \left(-\frac13 (4x-2) e^{-3x} \bigg|_{x=0}^{x\to\infty} + \frac43 \int_0^\infty e^{-3x} \, dx\right) \\\\ ~~~~ = 4 + 8 \left(-\frac23 - \frac49 e^{-3x}\bigg|_{x=0}^{x\to\infty}\right) \\\\ ~~~~ = 4 - \frac{16}3 + \frac{32}9 = \boxed{\frac{20}9}$

7 0

1 year ago

Need help asap ..Can someone please help me solve this area?

Bond [772]

Im pretty sure its 180 hope this helps

3 0

3 years ago

Which of the following is an example of a polynomial equation?

Nat2105 [25]

Hi, can you please put options?

8 0

3 years ago

Δ HFM- Δ PST What is the perimeter of triangle PST? Enter your answer in the box.

fgiga [73]

Step-by-step explanation:

$\triangle HFM \sim \triangle PST... (Given) \\\\\therefore \frac{HF}{PS} = \frac{FM}{ST} = \frac{HM}{PT}...(csst) \\ \\ \therefore \frac{30}{PS} = \frac{35}{ST} = \frac{45}{9}\\ \\ \therefore \frac{30}{PS} = \frac{35}{ST} = \frac{5}{1} \\ \\ \therefore \frac{30}{PS} = \frac{5}{1} \\ \\ \therefore PS = \frac{30}{5} \\ \\\boxed{ \therefore PS = 6 }\\ \\ \because \: \frac{35}{ST} = \frac{5}{1} \\ \\ \therefore \: ST = \frac{35}{5} \\ \\ \boxed{\therefore \: ST = 7} \\ \\ perimeter \: of \: \triangle PST \\ = 9 + 7 + 6 \\ = 22 \: units$

4 0

3 years ago