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Gwar [14]
3 years ago
12

Question:

Mathematics
1 answer:
Leya [2.2K]3 years ago
8 0
A) The vertices of the ABCD square are:

(2,2), (1(4), (3,5), and (4,3).

The reflection over the x-axys keeps the same x-coordinate and changes the y-coordinate ot its negative.

So, the vertices of the square A'B'C'D' are:

(2,-2), (1,-4), (3,-5), and (4,-3).

You can see the figure attached showing the four vertices.

<span>B. Is AB congruent to A'B'? Explain

Answer:

Yes, they are congruent. You can affirm that because reflections are transformations that do not change either sizes or angles, but keep them, so the two squares are congruent.

C. Is the area of ABCD ≈ area of A'B'C'D'? Explain.

Answer:

Yes, the two areas are equal since you have shown that the two figures are congruent.
</span>

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In 2002, the Centers for Disease Control and Prevention (CDC) reported that 8% of women married for the first time by their 18th
ehidna [41]

Question:

In 2002, the Centers for Disease Control and Prevention (CDC) reported that 8% of women married for the first time by their 18th birthday, 25% married by their 20th birthday, and 76% married by their 30th birthday. Based on these data, what is the probability that in a family with two daughters, the first and second daughter will be married by the following ages? (Enter your answers to four decimal places.) (a) 18 years of age (b) 20 years of age (c) 30 years of age

Answer:

A.) 0.0064

B.) 0.0625

C.) 0.5776

Step-by-step explanation:

Given the following :

Married by 18th birthday = 8% = 0.08

Married by 20th birthday = 25% = 0.25

Married by 30th birthday = 76% = 0.76

In a family with two(2) daughters :

P(First daughter will be married by 18) = 0.08

P(second daughter will be married by 18) = 0.08

P(1st and 2nd married by 18) = (0.08×0.08) = 0.0064

B.)

P(First daughter will be married by 20) = 0.25

P(second daughter will be married by 20) = 0.25

P(1st and 2nd married by 20) = (0.25×0.25) = 0.0625

C.)

P(First daughter will be married by 30) = 0.76

P(second daughter will be married by 30) = 0.76

P(1st and 2nd married by 30) = (0.76×0.76) = 0.5776

6 0
3 years ago
A 12 ft. ladder is being placed against a 10 ft.
RideAnS [48]

Answer:

Step-by-step explanation:

Height of wall = 10ft

Length of ladder = 12ft

Angle of elevation be x

Sin x = opp/hyp

Sin x = wall height/length of ladder

Sin x = 10/12

Sin x = 0.83

X = Sin-¹ (0.83)

X = 56.44°

7 0
3 years ago
The play director spent 190190190190 hours preparing for a play. That time included attending 35353535 rehearsals that took vary
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Answer:

The equation above represents the total time the play director spent preparing for a play.

Step-by-step explanation:

The time spent by the play director for preparing for a play is, 190 hours.

Of these 190 hours, the director spent varying amounts of time attending 35 rehearsals for the play.

Let the varying amounts of time be denoted by, <em>x</em>.

The director also spent 3/4th of an hour, i.e. 45 minutes, on other responsibilities related to the play.

The equation provided is:

35x+\frac{3}{4}=190

The equation above represents the total time the play director spent preparing for a play.

7 0
4 years ago
Javier walks from his home at point K to the Internet café at point O. If the school at point W is exactly halfway between Javie
sveta [45]

Answer:

Step-by-step explanation:

16 m

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What is 3 to the powers of 5
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Answer:

3 to the power of 5 = 35 = 243

Step-by-step explanation:

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