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3 years ago

Triangle ABC is a right triangle. Which equations can be used to find the value of x? Check all that apply.

Mathematics

2 answers:

wolverine [178]3 years ago

4 0

Answer: the answer needs to equal 90 degrees

Step-by-step explanation:mhm

Artemon [7]3 years ago

3 0

A) X+90+ (x-10) - 180

C) 2x+80 = 180

D) x+90 = 2x+40

I just took the quiz on edge

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SashulF [63]

Answer:

Step-by-step explanation:

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3 years ago

2x^2+7x-k=0 find all the values of k

mojhsa [17]

Answer:

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Step-by-step explanation:

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3 years ago

Which of the following is a Whole Number? A: 0.252 B: 16 C:1/2 D: 14

kirza4 [7]

Answer:

The options B and D both are whole numbers

explanation:

a number without fractions; and decimals is called a whole number

hope this helps!

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3 years ago

Read 2 more answers

7. Amber has $37 to spend. She bought a coffee for

enot [183]

Answer:

Step-by-step explanation:

1.75 ( would be the coffee) + 1.50d (donuts each but an unknown quantity)

total amount must be less than $37 dollars

Your answer would be 37.00 - 1.75 = 35.25 cents

35.25 / 1.50 = 23.5 donuts - you can not purchase a half of a donut so you can buy 1 coffee and 23 donuts for $36.25

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3 years ago

A bus travels on an east-west highway connecting two cities A and B that are 100 miles apart. There are 2 services stations alon

melamori03 [73]

Answer:

51/4

Step-by-step explanation:

To begin with you have to understand what is the distribution of the random variable. If X represents the point where the bus breaks down. That is correct.

X~ Uniform(0,100)

Then the probability mass function is given as follows.

$f(x) = P(X=x) = 1/100 \,\,\,\, \text{if} \,\,\,\, 0 \leq x \leq 100\\f(x) = P(X=x) = 0 \,\,\,\, \text{otherwise}$

Now, imagine that the D represents the distance from the break down point to the nearest station. Think about this, the first service station is 20 meters away from city A, and the second station is located 70 meters away from city A then the mid point between 20 and 70 is (70+20)/2 = 45 then we can represent D as follows

$D(x) =\left\{ \begin{array}{ll} x & \mbox{if } 0\leq x \leq 20 \\ x-20 & \mbox{if } 20\leq x < 45\\ 70-x & \mbox{if } 45 \leq x \leq 70\\ x-70 & \mbox{if } 70 \leq x \leq 100\\ \end{array}\right.$

Now, as we said before X represents the random variable where the bus breaks down, then we form a new random variable $Y = D(X)$ , $Y$ is a random variable as well, remember that there is a theorem that says that

$E[Y] = E[D(X)] = \int\limits_{-\infty}^{\infty} D(x) f(x) \,\, dx$

Where $f(x)$ is the probability mass function of X. Using the information of our problem

$E[Y] = \int\limits_{-\infty}^{\infty} D(x)f(x) dx \\= \frac{1}{100} \bigg[ \int\limits_{0}^{20} x dx +\int\limits_{20}^{45} (x-20) dx +\int\limits_{45}^{70} (70-x) dx +\int\limits_{70}^{100} (x-70) dx \bigg]\\= \frac{51}{4} = 12.75$

3 0

4 years ago