X + y = 0 x - y = 4 Then what does x =

Explain why the two figures below are similar. Use complete sentences and provide evidence to support your explanation. (10 poin

alekssr [168]

Answer:

The two figures are similar as the ratio of corresponding distances and slope of corresponding lines are EQUAL.

Step-by-step explanation:

Noting the coordinates of points,

C(-1,6), D(3,4) , E(2,3) , F(3,0), G(1,-2) , A(0,1) , B(-2,2)

J(4.5,3.5), K(6.5,2.5), L(6,2), M(6.5,0.5) , N(5.5,-0.5) , H(5,1) , I(4,1.5)

using the distance formula = $\sqrt{(x-x1)^{2} + (y-y1)^{2} }$

we find that,

CD= $\sqrt{20}$ and JK= $\sqrt{5}$

thus, ratio of CD to JK is 2.

Similarly find ratio of DE to KL and so on, the ratio remains same.

Further one can even comment on the slopes of corresponding lines been equal.

Thus the figures turn out to be similiar to each other

7 0

3 years ago

The manager of a supermarket wants to obtain information about the proportion of customers who dislike a new policy on cashing c

alex41 [277]

Answer:

n = 61 costumers

Step-by-step explanation:

For calculating the number of costumers he should sample we use the next equation:

$n = \frac{z_{1-\alpha/2}^{2}p(1-p)}{E^{2} }$

Where E is the error that we are prepared to accept, in this case E = 0.15

How we don't know the value of p, we can estimate it like p = 0.5

∝ = 1-0.98 = 0.02

1-∝/2 = 0.99

$z_{0.99} = 2.33$

$n = \frac{(2.33^{2})(0.5)(1-0.5)}{0.15^{2} }$

n = 60.32 costumers

n ≈ 61 costumers

4 0

3 years ago

Tell whether the relationship shown in the mapping diagram is a function or not.

sammy [17]

Answer:

It is a function

Step-by-step explanation:

The x-values do not repeat so it is a function.

4 0

3 years ago

-88-73 positive or negative

dezoksy [38]

It will be negative.

5 0

2 years ago

Read 2 more answers

A card is selected randomly from a jar that contains 15 cards, numbered from 25 to 39. What is the probability that the card sel

VikaD [51]

Answer:

The probability that the card selected bears a number less than 34 is 0.3333.

Step-by-step explanation:

Let random variable X be defined as the number on the selected card.

There are N = 15 total cards.

The number on the cards are as follows:

S = {25, 26, 27,..., 38, 39}

The probability of an event, E is the ratio of the number of favorable outcomes to the total number of outcomes.

$P(E)=\frac{n(E)}{N}$

In this case we need to compute the probability that the card selected bears a number less than 34.

The favorable outcomes are:

s = {25, 36, 37, 38, 39}

n (X < 34) = 5

Compute the probability that the card selected bears a number less than 34 as follows:

$P(X$

$=\frac{5}{15}\\\\=\frac{1}{3}\\\\=0.3333$

Thus, the probability that the card selected bears a number less than 34 is 0.3333.

7 0

3 years ago