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4 years ago

Part 1: Congruent Triangles-what is needed

Mathematics

1 answer:

e-lub [12.9K]4 years ago

8 0

Answer:

•all angles must be equal/congruent.

•all sides must be the same length

•all vertices must be the same distance from the midpoint of the side across from it

Step-by-step explanation:

please stay safe during corona virus. i know you wanna leave and hang out with your friends but please respect social distancing. please have a good day.

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The perimeter of a rectangular sheet of metal is 120 feet, and the area is 800 square feet. The length and width of the rectangu

nevsk [136]

800 = l(w)
120 = 2l + 2w
800 = 20(40)
120 = 2(40) + 2(20)
40(6)=240
20(6)=120
P=2(240) + 2(120)
P=480+240
P=720
Answer: Perimeter is 720ft

4 0

3 years ago

HEEEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLZ ILY

andreev551 [17]

Answer:

For the first question, x = 12.

For the second question, x = -9

Step-by-step explanation:

In the first question, in △RSQ,

RZ/RS = 1/2 = RY/RQ (given)

∠ZRY = ∠ZRY (common)

∴ △RZY ~ △RSQ (2 sides prop., inc. ∠)

∵ △RZY ~ △RSQ

∴ RZ/RS = RY/RQ = ZY/SQ = 1/2

(x+2) / (3x-8) = 1/2

2(x+2) = (3x-8)

2x + 4 = 3x - 8

3x - 2x = 12

x = 12

In the second question, in △SRT,

SC/SR = 1/2 = SB/ST (given)

∠CSB = ∠CSB (common)

∴ △SCB ~ △SRT (2 sides prop., inc. ∠)

∵ △SCB ~ △SRT

∴ SC/SR = SB/ST = CB/RT = 1/2

(x+19) / (x+29) = 1/2

2(x+19) = (x+29)

2x + 38 = x + 29

2x - x = 29 - 38

x = -9

Hope this helped!

8 0

3 years ago

Read 2 more answers

The scheduled arrival time for a daily flight from Boston to New York is 9:30 am. Historical data show that the arrival time fol

mamaluj [8]

Answer:

a) $E(A)=\frac{0+50}{2}=25 min$

$Sd(A) =\sqrt{208.3333 min^2}=14.43 min$

b) $P(A>25) = 1-P(A\leq 25)=1-\frac{25-0}{50-0}= 1-0.5 = 0.5$

Step-by-step explanation:

Part a

Let A the random variable that represent "The arrival time (minutes) for a daily flight from Boston to New York ". And we know that the distribution of A is given by:

$A\sim Uniform(a=0 ,b=50)$

We select our starting point a=0 representing 9:05 AM and the amount of minutes between 9:05 am to 9:55 am are 50 ans for this reason b =50

For ths uniform distribution the expected value is given by $E(X) =\frac{a+b}{2}$ where X is the random variable, and a,b represent the limits for the distribution. If we apply this for our case we got:

$E(A)=\frac{0+50}{2}=25 min$

And the variance is given by:

$Var(A)= \frac{(b-a)^2}{12}=\frac{(50-0)^2}{12}=208.3333 min^2$

And the standard deviation by definition is just the square root of the variance:

$Sd(A) =\sqrt{208.3333 min^2}=14.43 min$

Part b

If we convert 9:30 AM to our scale we know that we have 25 minutes between 9:05 AM and 9:30 AM.

For this case we want to find this probability: $P(A>25)$

And we can find this probability using the complement rule like this:

$P(A>25) = 1-P(A\leq 25)$

And we can use the cumulative distribution function given by:

$F(A) = \frac{A-a}{b-a}$

And we got:

$P(A>25) = 1-P(A\leq 25)=1-\frac{25-0}{50-0}= 1-0.5 = 0.5$

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3 years ago

PLZZZZZZZZZZZZ HELP!?!?!??!?!?! What is the length of BC¯¯¯¯¯ ?

olganol [36]

According to the markings, BD = DC. From this fact

BD = DC

BD + DC = BC

18 + 18 = BC

BC = 36 <<<<<< Answer

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4 years ago

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The graph shows the cost for each video game rental.

DanielleElmas [232]

Hey there!

So, from looking at this question, the bottom or the ( $x$ -axis) is $how \ many \ games \ were \ rented$ . So, this would mean that, the ( $y$ -axis) would be (how much) each game would cost.

So, based from the option's listed above, the correct answer to this question would actually be (The cost of every 1 video game rented). This would be the main and the key point of this graph, how much each game would be.

You correct answer would be . . . . . .

 $\boxed{\boxed{The \ cost \ of \ every \ 1 \ video \ game \ rented}}$

Hope this helps.
~Jurgen

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3 years ago

Read 2 more answers