Lines AB and CD are parallel. If 7 measures (2x + 4)°, and 6 measures 50°, what is the value of x?

Endpoint: (-4, 8), midpoint: (3,-4)<br><br> Find the other endpoint<br><br> Explain please

swat32

Answer: (10,-16)

Step-by-step explanation:

$A(-4,8)\ \ \ \ C(3,-4)\ \ \ \ \ B(x_B,y_B)=?\\$

See the graph below.

$\displaystyle\\\boxed {x_C=\frac{x_A+x_B}{2} }\\\\$

Multiply both parts of the equation by 2:

$2x_C=x_A+x_B\\2x_C-x_A=x_A+x_B-x_A\\2x_C-x_A=x_B$

Hence,

$x_B=2*3-(-4)\\x_B=6+4\\x_B=10$

$\displaystyle\\\boxed {y_C=\frac{y_A+y_B}{2} }$

Multiply both parts of the equation by 2:

$2y_C=y_A+y_B\\2y_C-y_A=y_A+y_B-y_A\\2y_C-y_A=y_B$

Hence,

$y_B=2*(-4)-8\\y_B=-8-8\\y_B=-16\\Thus,\ B(10,-16)$

4 0

2 years ago

What is the probability that 6 rolls of a fair die will show four exactly 5 times?

storchak [24]

Answer:

very less

Step-by-step explanation:

When rolling a fair 6 sided die 5 times there are 6^5 possible combinations.

Of those, there are 5 ways to roll exactly four sixes, and each of those ways have 5 possible results on the die which has not rolled a six, plus there is 1 way to roll five sixes. 5*5+1=26 combinations with at least four sixes.

Now, take the number of results which fit your conditions, divide by the number of possible results and you get your answer: 26/7776 which can be reduced to 13/3338, a bit less than 0.4%

6 0

3 years ago

Which equation could be used to find the length of the hypotenuse?

Julli [10]

Answer:

2^2 +5^2 = c^2

Step-by-step explanation:

We can use the Pythagorean theorem to solve for c

a^2 + b^2 =c^2 where a and b are the legs and c is the hypotenuse

2^2 +5^2 = c^2

4+25 = c^2

29 =c^2

3 0

3 years ago

Read 2 more answers

Paul Colin and Brian are waiters one night the restaurant tips total up to £77.40 they share the tips in a ratio of 2.3.4 how mu

Snezhnost [94]

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Ratio

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Paul : Colin : Brian

1 . : 3 . : 5

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Total Amount Collected

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£77.40

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Find I share of the money collected

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Total shares = 1 + 3 + 5 = 9

9 shares = £77.40

1 share = £77.40 ÷ 9

1 share = £8.60

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Find Brian's share

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1 share = £8.60

5 shares = £8.60 x 5

5 shares = £43

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Find Paul's share

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1 share = £8.60

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Difference in Brian's and Paul's share

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£43 - £8.60 = £34.40

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Answer: £34.40

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8 0

3 years ago

IM BEING TIMED, WILL GIVE 25 POINTS (NEEDED WITHIN THE NEXT 20 MINUTES The graph g(x)=x^3-x is shown. (idk how to screenshot, so

saveliy_v [14]

Answer:

The function is

$f(x)=0.5x^3-3x^2+5.5x-2$

The graph is attached.

Step-by-step explanation:

We have a function g(x) and we need to graph a new function that is function of g(x).

The final function is

$f(x)=0.5\cdot g(x-2)+1$

We start by calculating g(x-2):

$g(x-2)=(x-2)^3-(x-2)\\\\g(x-2)=(x^3-6x^2+12x-8)-(x-2)\\\\g(x-2)=x^3-6x^2+11x-6$

Then, we can calculate f(x) as:

$f(x)=0.5\cdot g(x-2)+1\\\\g(x-2)=x^3-6x^2+11x-6\\\\\\f(x)=0.5(x^3-6x^2+11x-6)+1\\\\f(x)=0.5x^3-3x^2+5.5x-3+1\\\\\\f(x)=0.5x^3-3x^2+5.5x-2$

5 0

3 years ago