Which statement best explains whether △ABC is congruent to △DEF?


​△ABC is congruent to △DEF because △ABC can be mapped to △DEF by a reflection across the y-axis followed by a translation 5 units down.

​△ABC​ is congruent to △DEF because △ABC can be mapped to △DEF by a rotation of 90° counterclockwise about the origin followed by a reflection across the y-axis.

​△ABC​ is congruent to △DEF because △ABC can be mapped to △DEF by a translation 5 units down followed by a reflection across the x-axis.

△ABC is not congruent to △DEF because there is no sequence of rigid motions that maps △ABC to △DEF.

Answer:

A) 8 feet.

B) 72 feet

Step-by-step explanation:

We have the function [tex]f(x)=-16x^2+64x+8[/tex] which gives the height of the rocket (in feet) as a function of the rocket's horizontal distance.

Part A)

We want to find the initial height of the rocket when it was shot.

At the initial height, the rocket has not moved anywhere. So, the horizontal distance will be 0.

Therefore, to find the initial height, we will substitute 0 into our function. This yields:

[tex]f(0)=-16(0)^2+64(0)+8[/tex]

Evaluate:

[tex]f(0)=8[/tex]

Therefore, the initial height was 8 feet.

Part B)

Notice that our function is a quadratic.

Therefore, the maximum height will be given by the vertex of our quadratic.

To find the vertex, we use:

[tex](-\frac{b}{2a},f(-\frac{b}{2a}))[/tex]

Let's label our coefficients. We have [tex]-16x^2+64x+8[/tex]

Therefore, a=-16, b=64, and c=8.

Substitute them into the vertex formula to find the x-coordinate:

[tex]x=-\frac{64}{2(-16)}\\\Rightarrow x=64/32=2[/tex]

Now, to find the maximum height, substitute 2 back into our function f(x):

[tex]f(2)=-16(2)^2+64(2)+8[/tex]

Evaluate:

[tex]f(2)=-16(4)+64(2)+8\\\Rightarrow f(2)=-64+128+8\\\Rightarrow f(2)=72\text{ feet}[/tex]

Therefore, the rocket reaches a maximum height of 72 feet.

Answer:

-1-7 = -8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Answer:

n-27

Step-by-step explanation:

If we assume the number is n, the expression will be n-27. You could use any other variable, too. Hope it helps!

Answer:

f - 27

Step-by-step explanation:

we don't know the number that's being subtracted so it would be any integer minus 27

Answer:

(0,-26)

Step-by-step explanation:

0 -26

17 -39

34 -52

51 -65

68 -78

Answer:

y = -54 + 60

Step-by-step explanation:

multiply 6 and -9 to get -54         (6)(-9) = -54

then subtract -54 from 6 to get 60            6 - (-54) = 60

then put it in equation form as, b = 60, and x = -54

y = -54 + 60

plz mark brainliest

The equation of line passes through the points (-9, 6) will be;

⇒ y = 6x + 60

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line is (-9, 6).

And, The slope = 6

Now,

Since, The equation of line passes through the point (-9, 6).

And, Slope of the line is,

m = 6

Thus, The equation of line with slope 6 is,

⇒ y - 6 = 6 (x - (-9))

⇒ y - 6 = 6 (x + 9)

⇒ y - 6 = 6x + 54

⇒ y = 6x + 54 + 6

⇒ y = 6x + 60

Therefore, The equation of line passes through the points (-9, 6) will be;

⇒ y = 6x + 60

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Answer: The sum of the angles of a triangle on a sphere is 180°(1 + 4f), where f is the fraction of the sphere's surface that is enclosed by the triangle. For any positive value of f, this exceeds 180°.

Answer:

6,4,3

Step-by-step explanation:

A coefficient is a number multiplied by a variable in the a equation. 6 is not a coefficient because it is not being multiplied by anything

Answer:

6,4,3, and -6

Step-by-step explanation:

These are the coefficients because usually coefficients are accompanied with a variable with is meaning to multiply. In this case you would combine all of your like terms.

Answer: 1st, 4th & 5th .

Answer:

1st, 4th, and 5th

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Step 1: Define

xy + |-49/1|(-1)

x = 7

y = 8

Step 2: Simplify

xy + |-49|(-1)

xy + 49(-1)

xy - 49

Step 3: Substitute and Evaluate

7(8) - 49

56 - 49

7

Answer:

7

Step-by-step explanation:

xy + | -49/1| (-1)

Let x=7 and y = 8

7*8 +  | -49/1| (-1)

56 +  | -49/1| (-1)

The absolute value of -49 is 49

56  +49 (-1)

Multiply

56-49

7

Answer:

uhhhhhhhhhhhhhhhhhhh

Answer:

A is the answer

Step-by-step explanation:

According to BODMAS (or DMAS), first we add and then subtract

if both operations are of add, we add it at the same time

That's what I got, not sure if it was what you were looking for.

Answer:

-5

Step-by-step explanation:

Is the Answer

Answer:

4

Step-by-step explanation:

Answer: Additive Inverse

Step-by-step explanation: The Additive Inverse tells us that if we add

a number and the opposite of that number, the result will be 0.

Rigid motions are, exclusively, rotations, reflections, and translations. If you can move one polygon onto the other by using only those motions, they are congruent. One pentagon can, for example, be translated onto another pentagon, making them congruent. If, after being translated, point A is on point F and B on G and C on H and D on I and E on J, the congruence statement is: [tex] ABCDE\cong FGHIJ.[/tex]

Answer:

j=v-k/a

Step-by-step explanation:

It's like order of operations backwards. So first, you would get rid of the k, by subtracting it from both sides. Then, to isolate j you would divide both sides by a.

Answer:

You will have .38 feet left of string

Step-by-step explanation:

Just subtract the numbers

Have a good day!

Answer:

0.38

Step-by-step explanation:

4.25-3.87=0.38

Answer:

A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20.

Step-by-step explanation:

Given that:

Charges of taxi 1 = $3.00 per mile

Charges of taxi 2 = $1.77 per kilometer

1 mile = 1.61 kilometers

To find:

Cost of a 12 miles ride for taxi 1 and taxi 2.

Solution:

Let us first convert the charges of each taxi to per mile.

Taxi 1 charges are already given in per mile.

Charges for 1 mile = $3

Charges for 12 miles = 3 [tex]\times[/tex] 12 = $36

Taxi 2 charges = 1.77 [tex]\times[/tex] 1.61 = $2.85 per mile

Charges for 12 miles = 2.85 [tex]\times[/tex] 12 = $34.20

Therefore, the answer is:

A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20.

Answer:

represents the one value

Step-by-step explanation:

Ones place

Answer:

False. It's not in the descending order for variable x.

Step-by-step explanation:

Given polynomial is,

-15x⁵y + 13x²y⁴ - x⁸

'x' is a variable in the given polynomial.

Order or degree of term x⁸ = 8

Order of term -15x⁵y = 5

Order of term 13x²y⁴ = 2

Descending order for the variable x will be,

8 > 5 > 2

So the descending order for the variable 'x' will be,

-x⁸ - 15x⁴y + 13x²y⁴

Therefore, Option (1) False is the correct option.

Answer:

You would be unintentionally sharing inaccurate information.

Step-by-step explanation:

i just read the book

the slope 2/5 is written in the formula rise/run. So u can use this method to determine which line has a slope of 2/5.

Answer:

Question 1  

The test statistics is  [tex]t = 0.44[/tex]

The decision rule is

 Fail to reject the null hypothesis

The conclusion

There is no  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

Question 2

The degree of freedom is  [tex]df = 92 [/tex]

The decision rule is

Reject the null hypothesis  

The conclusion

There is  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

Explanation:

Considering Question 1

Here we are told to provide the test statistics

From the question we are told that

  The first sample size is  [tex]n_1 = 31[/tex]

  The second  sample size is  [tex]n_ 2 =  46[/tex]

   The first sample mean is  [tex]\= x_1 = 525 \ minutes[/tex]

    The first standard deviation is  [tex]\sigma_1 =  47.7[/tex]

    The second sample mean is  [tex]\= x_2 = 520 \ minutes[/tex]

   The second standard deviation is  [tex]\sigma_2 =  48.2[/tex]

The null hypothesis  is  [tex]H_o :  \mu_1 - \mu_2 = 0[/tex]

The alternative hypothesis is  [tex]H_a :  \mu_1 - \mu_2 \ne 0[/tex]

Generally the degree of freedom is mathematically represented as

      [tex]df = n_1 + n_2  -2[/tex]

=>    [tex]df = 31 + 46  -2[/tex]

=>    [tex]df = 75 [/tex]

Generally the test statistics is mathematically represented as

 [tex]t =  \frac{(\= x_1 - \= x_2 )-0}{ \sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} } }[/tex]

=> [tex]t =  \frac{( 525-  520 )-0}{ \sqrt{\frac{47.7^2}{31} + \frac{48.2^2}{46} } }[/tex]

=> [tex]t = 0.44[/tex]

Let assume that the level of confidence is  [tex]\alpha = 0.05[/tex]

Generally the probability of t at a degree of freedom of  is  [tex]df = 75[/tex]

    [tex]P(t > 0.44 ) = 0.33060124 [/tex]

Generally the p-value is mathematically represented as

   [tex]p-value  =  2 *  P(t > 2.398)[/tex]

=>   [tex]p-value  =   2 * 0.33060124[/tex]

=>   [tex]p-value  =  0.66120[/tex]      

From the value obtain we see that [tex]p-value  >  \alpha[/tex] hence we fail to reject the null hypothesis

The conclusion is that there is no  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

Considering Question 2

Here we are told to provide the degree of freedom

From the question we are told

    The first sample size is  [tex]n_1 = 39[/tex]

     The first sample mean is  [tex]\= x_1 = 582 \ minutes[/tex]

     The first standard deviation is  [tex]\sigma_2 =  63.8[/tex]

     The second sample size is  [tex]n_ 2 =  55[/tex]

     The second sample mean is  [tex]\= x_2 = 542 \ minutes[/tex]

     The second standard deviation is  [tex]\sigma_2 =  97.8 [/tex]

The null hypothesis  is  [tex]H_o :  \mu_1 - \mu_2 = 0[/tex]

The alternative hypothesis is  [tex]H_a :  \mu_1 - \mu_2 \ne 0[/tex]

Generally the degree of freedom is mathematically represented as

      [tex]df = n_1 + n_2  -2[/tex]

=>    [tex]df = 39 + 55  -2[/tex]

=>    [tex]df = 92 [/tex]

Generally the test statistics is mathematically represented as

 [tex]t =  \frac{(\= x_1 - \= x_2 )-0}{ \sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} } }[/tex]

=> [tex]t =  \frac{( 582 -  542 )-0}{ \sqrt{\frac{63.8^2}{39} + \frac{97.8^2}{55} } }[/tex]      

=>  [tex]t = 2.398[/tex]

Let assume that the level of confidence is  [tex]\alpha = 0.05[/tex]

Generally the probability of t at a degree of freedom of  is  [tex]df = 92 [/tex]

    [tex]P(t > 2.398 ) = 0.00925214[/tex]

Generally the p-value is mathematically represented as

   [tex]p-value  =  2 *  P(t > 2.398)[/tex]

=>   [tex]p-value  =   2 * 0.00925214[/tex]

=>   [tex]p-value  =  0.0185[/tex]      

From the value obtain we see that [tex]p-value  <  \alpha[/tex] hence we reject the null hypothesis

The conclusion is that there is  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

Answer: .3330

Step-by-step explanation:

The proportion of exam scores are between 82 and 89.2 points is 0.3330.

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

When comparing data sets that may have the same mean but a different range, it is helpful.

The mean of the two numbers 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30 for instance, is the same. The second, though, is obviously more dispersed.

Given:

mean = 83.2 points and

standard deviation = 8 points.

So, the proportion is

P(82 ≤ x ≤ 89.2)

=P( 82- 83.2 / 8 ≤ z ≤ 89.2 - 83.2/8)

=P (0.75) - P(-0.15)

=0.7734 -(0.4404)

= 0.3330

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Answer:

Rounded to the nearest hundred, Ms. Sanshes had about 200 more tokens than Mr. Brown

Step-by-step explanation:

567=600 (rounded)

432=400 (rounded)

600-400=200 tokens

Answer:

6.33 × 10⁻³

Step-by-step explanation:

Scientific Notation: x.xx × 10ⁿ

We simply follow the base 10 decimal system to put anything in scientific notation. Since we are moving the decimal place 3 places to the right, we would have it as 10⁻³ multiplying our standard form.

Answer:

6.33 × 10[tex]^{-3}[/tex]

Step-by-step explanation:

** The negative three is supposed to be an exponent **