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4 years ago

Which expression correctly states that XY is congruent to VW?

1 answer:

monitta4 years ago

7 0

We are given to lines XY and VW. Now we need to determine the expression that correctly states that these lines are congruent. One possibility to prove that they're congruent is if they are two separate lines and:

XA is congruent to VB,
AY is congruent to BW
XA + AY = XY
VB + BW = VW

Then we can conclude that if the statements above are true, XY and VW must be congruent to each other.

Another possibility is that they are two sides of an isosceles rectangle XYVW and are opposite sides of the rectangle.

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M and m A) -9 C) 0 B) 10 D) -10 A B C С D

Mademuasel [1]

Answer:

Step-by-step explanation:

∠ BSR + ∠ TSB = ∠ TSR , substitute values

2x + 17 + 5x + 15 = 102 , that is

7x + 32 = 102 ( subtract 32 from both sides )

7x = 70 ( divide both sides by 7 )

x = 10 → B

8 0

3 years ago

A library subscribes to two different weekly news magazines, each of which is supposed to arrive in Wednesday�s mail. In actuali

Softa [21]

Answer:

P(Y = 0) = 0.09

P(Y = 1) = 0.4

P(Y = 2) = 0.32

P(Y = 3) = 0.19

Step-by-step explanation:

Let the events be:

$W =$ Wednesday

$T =$ Thursday

$F =$ Friday

$S =$ Saturday

Their corresponding probabilities are

$P(W) = 0.3\\P(T) = 0.4\\P(F) = 0.2\\P(S) = 0.1$

Since $Y$ = number of days beyond Wednesday that it takes for both magazines to arrive(so possible $Y$ values are 0, 1, 2 or 3)

The possible number of outcomes are therefore $4^2 = 16\\(W, W), (W, T), (W, F), (W, S)\\(T, W), (T, T), (T, F), (T, S)\\(F, W), (F, T), (F, F), (F, S)\\(S, W), (S, T), (S, F), (S, S)$

The values associated for each of the outcomes are as follows:

$Y(W, W) = 0, Y(W, T) = 1, Y(W, F) = 2, Y(W, S) = 3\\Y(T, W) = 1, Y(T, T) = 1, Y(T, F) = 2, Y(T, S) = 3\\Y(F, W) = 2, Y(F, T) = 2, Y(F, F) = 2, Y(F, S) = 3\\Y(S, W) = 3, Y(S, T) = 3, Y(S, F) = 3, Y(S, S) = 3$

The probability mass function of $Y$ is,

$P(Y = 0) = 0.3(0.3) = 0.09\\P(Y = 1) = P[(W, T) or (T, W) or (T, T)]\\= [0.3(0.4) + 0.3(0.4) + 0.4(0.4)]\\= 0.4\\\\P(Y = 2) = P[(W, F) or (T, F) or (F, W) or (F, T) or (F, F)]\\= [0.3(0.2) + 0.4(0.2) + 0.2(0.3) + 0.2(0.4) + 0.2(0.2)]\\= 0.32\\\\P(Y = 3) = P[(W, S) or (T, S) or (F, S) or (S, W) or (S, T) or (S, F) or (S, S)]\\= [0.3(0.1) + 0.4(0.1) + 0.2(0.1) + 0.1(0.3) 0.1(0.4) + 0.1(0.2) + 0.1(0.1)]\\= 0.19$

7 0

3 years ago

I’ll give you brainiest if you answer correctly! I need help

Maurinko [17]

Answer:

y= -3/11x + 13

Step-by-step explanation:

hope this helps ( my cousins helped me) :))

7 0

3 years ago

An inconsistent system of equations is a system with _________

ololo11 [35]

1. intersecting lines
2. never

3 0

3 years ago

....................

garik1379 [7]

Answer:

=98m^2

Step-by-step explanation:

11×4=44

9×6=54

44+54=98

=98m^2

6 0

3 years ago