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3 years ago

13

Select all true statements.

1 answer:

Elanso [62]3 years ago

7 0

Answer:

A) Dilation's of an angle must be congruent to the original angle.

B) Dilation's if a triangle must be congruent to the original triangle.

Step-by-step explanation:

Dilation is one of rigid transformations in which the size of an angle or object is either increased or decreased, to produce an image, with respect to a given factor. In this process, the dimensions of the object are affected but its orientation remains the same.

When a figure is dilated, the new figure is congruent to the original figure. Also, when an angle undergoes dilation, its measure is not affected. Thus, it would be congruent to the original angle.

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Round 0.486 to the nearest hundredth

denis-greek [22]

Answer:

.500 is the nearest hundredth.

6 0

3 years ago

Read 2 more answers

JK in the coordinate plane has endpoints with coordinates (-4, 11) and (8,

atroni [7]

Answer:

(0, 7)

Step-by-step explanation:

Given:

J(-4, 11)

K(8, -1)

JP:JK = 1/3

Required:

Coordinates of P

SOLUTION:

Use the formula, $(x, y) = (x_1 + k(x_2 - x_1), y_1 + k(y_2 - y_1))$ to find the coordinates of point P, that partition the segment JK into the ratio 1/3.

Let,

$J(-4, 11) = (x_1, y_1)$

$K(8, -1) = (x_2, y_2)$

$k = \frac{1}{3}$

Thus, plug in the values as follows:

$P(x, y) = (-4 + \frac{1}{3}(8 -(-4)), 11 + \frac{1}{3}(-1 - 11)$

$P(x, y) = (-4 + \frac{1}{3}(12), 11 + \frac{1}{3}(-12)$

$P(x, y) = (-4 + \frac{12}{3}, 11 + \frac{-12}{3})$

$P(x, y) = (-4 + 4, 11 + (-4)$

$P(x, y) = (0, 7)$

The coordinates of point P, are (0, 7)

3 0

3 years ago

PLEASE HELP GUYS/GIRLS

Lana71 [14]

The answer is B
hope this helps

3 0

3 years ago

Can someone help me with this question please?

blagie [28]

Not sure but i guess 25 %ile is 55/4=13.75 and 80%ile=80*55/100=44

6 0

3 years ago

Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible c

lutik1710 [3]

Answer:

Tamara should expect the sum of the two cubes to be equal to 5 20 times.

Step-by-step explanation:

The sample space of rolling a number cube are:

S = {1, 2, 3, 4, 5, 6}

If two such cubes are rolled together, then the sum of the two cubes will be 5 for the combinations below:

S₁ = {(1, 4), (2, 3), (3, 2) and (4, 1)}

The total number of outcomes will be, <em>N</em> = 36.

Compute the probability that the sum of rolling two numbered cubes as follows:

$P(\text{Sum}=5)=\frac{4}{36}=\frac{1}{9}$

Let <em>X</em> = number of time the sum of the two numbers on two cubes is 5.

Two numbered cubes are rolled <em>n</em> = 180 times.

The event of getting a sum of 5 in independent of the other results.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 180 and <em>p</em> = $\frac{1}{9}$ .

The expected value of <em>X</em> is:

$E(X)=np$

Compute the expected number of times Tamara expects the sum of the two cubes to be equal to 5 as follow:

$E(X)=np\\=180\times \frac{1}{9}\\=20$

Thus, Tamara should expect the sum of the two cubes to be equal to 5 20 times.

8 0

3 years ago