determine if the 2 triangles are similar or not. if they are similar choose the correct similarity theorem below.
A
B
C
D

Answer:

72

Step-by-step explanation:

mean=average. to get average, you add up the numbers and divide by how many numbers. they add upp to 288 and since theres 4 test grades, divide by 4 to get 72.

i think the answer is 579

2 1/2 as an improper fraction is 5/2

First, split the mixed fraction into the sum of a whole number and a fraction:

2 1/2 =>2+ 1/2

Then, rewrite the whole number as an equivalent fraction:  2 => 4/2

Lastly, add together the two fractions to get the answer:

4/2 + 1/2 = 5/2

Answer:

(195 - 286) ± 1.992 * sqrt((46^2/45) + (58^2/40))

Step-by-step explanation:

Given that:

NEWER CARS:

Sample size = n1 = 45

Standard deviation s1 = 46

Mean = m1 = 195

OLDER CARS:

Sample size = n2 = 40

Standard DEVIATION s2 = 58

Mean = m2 = 286

Confidence interval at 95% ; α = 1 - 0.95 = 0.05 ; 0.05 / 2 = 0.025

Confidence interval is calculated thus : (newer--older)

(m1 - m2) ± Tcritical * standard error

Mean difference = m1 - m2; (195 - 286)

Tcritical = Tn1+n2-2, α/2 = T(45+40)-2 = T83, 0.025 = 1.99 (T value calculator)

Standard error (E) = sqrt((s1²/n1) + (s2²/n2))

E = sqrt((46^2/45) + (58^2/40))

Hence, confidence interval:

(195 - 286) ± 1.992 * sqrt((46^2/45) + (58^2/40))

The 95% confidence interval for estimating the difference in the mean dollar cost of the routine maintenance between newer and older cars is given by:

[tex]CI=(\overline{x_1} - \overline{x_2}) \pm t_{critical} \sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}[/tex]

The first sample consists of owners of newer cars

The second sample consists of owner of older cars.

95% confidence interval for difference between both samples' means.

Since the sample sizes are > 30, thus we can use the z table for finding the Confidence interval.

The CI is given as:

[tex]CI=(\overline{x_1} - \overline{x_2}) \pm t_{critical} \sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}[/tex]

For 0.95 probability confidence, we have t at 40+45-3= t at 83 at 0.05/2 is 1.992 (from T tables)

Thus,

[tex]CI=(195-268) \pm 1.992 \sqrt{\dfrac{46^2}{45} + \dfrac{58^2}{40}}[/tex]

Learn more about confidence interval here:

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Answer:

1.) x=2y-4

2.) x=2y-4 :)

Answer:

[tex]3x - 6y = - 12 ..........i)\\ x - 2y = - 8............ii) \\ x = 2y - 8 \\ Substituting \: the \: value \: of \: x \:in \: equation \: i) \: we \: get \\ 3(2y - 8) - 6y = - 12 \\ 6y - 24 - 6y = - 12 \\ Here \: we \: can \: see \:that\: the \: value \: of \: y \: cannot \: be \: found \\ Equation \: is \: in \: form \: a \frac{}{1} x + b \frac{}{1} y + c \frac{}{1}= 0\:and \\ a \frac{}{2} x + b \frac{}{2} y + c \frac{}{2} = 0 \\ where, \: \: \frac{a \frac{}{1} }{a \frac{}{2} } = \frac{b \frac{}{1} }{b \frac{}{2} } \\ Therefore \: lines \: are \: parallel \: to \: each \: other \\ Lines \: have \: no \: solution.[/tex]

Final Answer: [tex]-12x + 1.5[/tex]

Steps/Reasons/Explanation:

Question: Which expression is equivalent to [tex]-3(4x - 0.50)?[/tex]

Step 1: Expand by distributing terms.

[tex]-3[/tex] × [tex]4x - 3[/tex] × [tex]-0.50[/tex]

Step 2: Simplify [tex]-3[/tex] × [tex]4x[/tex] to [tex]-12x[/tex].

[tex]-12x - 3[/tex] × [tex]-0.50[/tex]

Step 3: Simplify [tex]3[/tex] × [tex]-0.50[/tex] to [tex]-1.5[/tex].

[tex]-12x - (-1.5)[/tex]

Step 4: Remove parentheses and add.

[tex]-12x + 1.5[/tex]

~I hope I helped you :)~

Answer:

the last one

Step-by-step explanation:

Answer:

661290

Step-by-step explanation:

even number ........

Answer:

164 cookies each

Step-by-step explanation:

divide 492 by 3. 3 Because it says Diana and her friends, and 492 because that is the total cookie count.

Answer:

E. 0.1401

Step-by-step explanation:

The mean here has been given as 20.9

The standard deviation sd = 4.7

Random sample n = 32

Sd/√n

= 4.7/√32

= 0.8309

Probability of x less than 20

= 20-20.9/0.8309

= -0.9/0.8309

= -1.083

P(z<-1.083)

When we go to the z table

= 0.1401

Therefore the probability is 0.1401 and the answer to this question is E.

Answer:

B

11 dollars

Step-by-step explanation:

7x+13 is the sum of the two order

you know that one order is 3x+5, so if you subtract it from the total you get the other order

7x+13-(3x+5) =7x+13-3x-5 = 4x+8

if he spent 90 dollars in total then we can say that

7x+13 = 90

7x=77

x=11

11 dollars per box

Step-by-step explanation:

Answer:

[tex]\frac{2808}{3125}[/tex]

Step-by-step explanation:

0.4286 is not rounded to hundredth rounded is 0.44

I think the answer is 0.43

Answer:

sorry

Step-by-step explanation:

I really don't know answer

Answer:

B.) David should pull his goalie

Step-by-step explanation:

Answer:

The mode is the value that appears most frequently in a data set

Step-by-step explanation:

so it will be 0 and 5

Answer:

0 and 5

explanation:

Answer:

I think your question is the differences between these terms in mathematical explanation? Well, the median is the middle. You add and divide for the mean. The mode is the one that appears the most. And the range is the difference in between.

Other:

Brainliest? Thanks!

[tex]mean = \frac{sum \: \: of \: \:all \: \: obsevations}{no. \: \: of \: \: observations} [/tex]

[tex]median = middle \: \: most \: \: value[/tex]

[tex]mode = most \: \: occuring \: term[/tex]

[tex]range = highest \: \: observation \: - lowest \: \: observation[/tex]

Answer:

y = - [tex]\frac{1}{12}[/tex] x + [tex]\frac{127}{12}[/tex]

Step-by-step explanation:

y = 12x - 9

Slope of line perpendicular to given is m = - [tex]\frac{1}{12}[/tex]

P(7, 10)

y - 10 = - [tex]\frac{1}{12}[/tex] (x - 7)

y = - [tex]\frac{1}{12}[/tex] x + [tex]\frac{127}{12}[/tex]

An equation of the line that passes through (7,10) and is perpendicular to the line y=12x−9 is y - 10 = -1/12(x-7)

The equation of a line in point-slope form is expressed as;

y - y0 = m(x-x0)

Given the equation of a line y = 12x - 9

Substitute m = -1/12 and ()7, 10) into the equation above to have;

y - 10 = -1/12(x-7)

Hence an equation of the line that passes through (7,10) and is perpendicular to the line y=12x−9 is y - 10 = -1/12(x-7)

Learn more on equation of a line here: https://brainly.com/question/19011142

Answer:

Y-5=-8/5 (x+3)

Step-by-step explanation:

Answer:

Y-5=-8/5 (x+3) good luck

Answer:

O The maximum height of the water balloon occurs at x = 0.  

O The water balloon is in the air for 2 s.  

O The maximum height of the water balloon is 64 ft.

Step-by-step explanation:

Firstly, by simply looking at the x axis on the graph (time), you will see that it starts at 0 and the 64 ft maximum height is aligned with the starting point of 0 seconds.

The graph also shows (x axis) the 'time' represented, and as the height rapidly decreases the graph eventually reaches the 2 second mark, going no further and no lower.

Finally, the graph shows (y axis) the peak of the water balloon's height is 64 ft, as it is the highest number reached while the water balloon was airborne.

The correct options are (A) The maximum height of the water balloon occurs at x = 0, (B) The water balloon is in the air for 2 s, and (5) The maximum height of the water balloon is 64 ft are correct.

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have:

The graph represents the height y, in feet, above the ground of a water balloon x seconds after it is dropped from a window.

The water balloon follows a path such that it makes half parabola.

From the graph:

At x = 0

Height(h) = 64 feet

Which is the maximum height of the water balloon.

After t = 2 seconds

The water balloon hits the ground

The correct options are:

Thus, the correct options are (A) The maximum height of the water balloon occurs at x = 0, (B) The water balloon is in the air for 2 s, and (5) The maximum height of the water balloon is 64 ft are correct.

Learn more about the parabola here:

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#SPJ5

Answer:

30+6+0.9+0.01 =36.91

Step-by-step explanation: Here ya go ;>

Answer:

He sold 17 shirts at the festival.

The total number of t-shirts Felipe sold is 17 t-shirts.

Consider that the number of t-shirts Felipe sold be "x".

Since He made a profit of $5 for each t-shirt sold. Therefore, his profit from selling t-shirts is 5x. also made a profit of $40 from selling hats.

His total profit is given as $125.

So we can write the following equation:

5x + 40 = 125

Subtracting 40 from both sides;

5x = 85

Dividing both sides by 5, we get:

x = 17

Therefore, Felipe sold 17 t-shirts.

Learn more about equations here;

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Answer:

A) y=3x-4

Step-by-step explanation:

Answer:

When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.

Step-by-step explanation:

Theorem 60: If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b.

Answer:

(1.5, -2.5)

Step-by-step explanation:

Mate, I think you best get to studying, plotting coordinates are the fundamentals of algebra and euclidean geometry.

Anyways, (x, y). When you replace the variables, you determine the coordinates are (1.5, -2.5).

Answer:

C, 1.5, -2.5

Step-by-step explanation:

Count the lines between each axis to figure out the coordinates. If the point is in between a line, it is a half.

Answer:

15) For a regular polygon of N sides, the measure of one interior angle is:

A = (N -  2)*180°/N

In this case, the figure has 11 sides, then we have N = 11, and the measure of each interior angle will be:

A = (11 - 2)*180°/11

A = 9*180°/11 = 147.27°

Rounding to the first decimal after the decimal point, we get:

A = 147.3°

Then the correct option is B.

16) We know that the length of all the sides of a square is the same.

In the image, we can see that the length of the right side is 4, and the length of the top side is 2x + 4

And those lengths must be the same, then we have the equation:

2x + 4 = 4

subtracting 4 in each side of the equation we get:

2x + 4 - 4 = 4 - 4

2x = 0

The only solution for this equation is x = 0.

Then the correct option is C

Answer:

True

Step-by-step explanation:

Answer:

[tex] \huge\purple{TRUE}[/tex]

Step-by-step explanation:

The absolute value of any number is always positive.

Answer:

$ 74.80

Step-by-step explanation:

The subtotal cost of the meal was $91.22  including tax.

The 18% tip is added for six or more.

The tip added should reduce the meal subtotal by 18 %

Reduce $91.22 by 18%  to get ;

82/100 * 91.22 = $ 74.80