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3 years ago

Which of these triangle pairs can be mapped to each other using two reflections?

Mathematics

2 answers:

UkoKoshka [18]3 years ago

8 0

Answer: The correct option is figure (1).

Explanation:

Reason for correct option:

The figure (1) shows the reflection across the side XY followed by reflection across the side YT.

When we reflect the triangle XYZ across the side XY we get the triangle XYT as shown in below figure.

After that we reflect the triangle XYT across the side YT and we get the triangle PYT.

Therefore, only figure 1 shows the triangle pairs can be mapped to each other using two reflections.

Reason for incorrect options:

The figure (2) shows the rotation of 180 degree along the point y.

The figure (3) shows the reflection across the side XY followed by the translation.

The figure (4) shows the reflection, followed by rotation , followed by translation.

Brrunno [24]3 years ago

6 0

Answer:its A On edg 2020

Step-by-step explanation:

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The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What

Nutka1998 [239]

Answer:

The probability that an 18-year-old man selected at random is greater than 65 inches tall is 0.8413.

Step-by-step explanation:

We are given that the heights of 18-year-old men are approximately normally distributed with mean 68 inches and a standard deviation of 3 inches.

Let X = heights of 18-year-old men.

So, X ~ Normal( $\mu=68,\sigma^{2} =3^{2}$ )

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean height = 68 inches

$\sigma$ = standard deviation = 3 inches

Now, the probability that an 18-year-old man selected at random is greater than 65 inches tall is given by = P(X > 65 inches)

P(X > 65 inches) = P( $\frac{X-\mu}{\sigma}$ > $\frac{65-68}{3}$ ) = P(Z > -1) = P(Z < 1)

= 0.8413

The above probability is calculated by looking at the value of x = 1 in the z table which has an area of 0.8413.

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2 years ago

Lin rode her bike 2 miles in 8 minutes. She rode at a constant speed. Complete the table to show the time it took her to travel

pantera1 [17]

Answer:

The answer is 56

Step-by-step explanation:

I'm smart and you are dumb

8 0

2 years ago

Carmen Martinez

klemol [59]

(4,4)
(10,7)

$\boxed{\sf Slope(m)=\dfrac{y_2-y_1}{x_2-x_1}}$

$\\ \sf\longmapsto m=\dfrac{7-4}{10-4}$

$\\ \sf\longmapsto m=\dfrac{3}{6}$

$\\ \sf\longmapsto m=\dfrac{1}{2}$

$\\ \sf\longmapsto m\approx0.5$

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2 years ago

Read 2 more answers

The lenght of a side of a sqeare whose perimeter is r units

suter [353]

Answer:

r/4 units

Step-by-step explanation:

each side of a square is of the same length, perimeter is the sum of the 4 length, length of a side of square = r/4 units

6 0

2 years ago

Please answer this correctly without making mistakes

katrin2010 [14]

Answer:

16 km

Step-by-step explanation:

Given:

Distance from Washington to Stamford = distance from Washington to Salem + distance from Salem to Stamford = 10.3 km + 11.9 km = 22.2 km

Distance from Washington to Oakdele = 6.2 km

Required: the difference between the distance from Washington to Stamford and from Washington to Oakdele

Solution:

Distance from Washington to Stamford = 22.2 km

Distance from Washington to Oakdele = 6.2 km

The difference = 22.2 km - 6.2 km = 16 km

Therefore, from Washington, it is 16 km farther to Stamford than to Oakdele.

8 0

3 years ago