Which of the following proves triangles are congruent

Answer:

467.4 units^2

Step-by-step explanation:

See attached image.

The required confidence interval for the population mean is; B: CI = (66.58%, 71.35%)

We are given;

Sample size; n = 1450

Sample number; x = 1000

Thus,sample proportion is;

p^ = x/n = 1000/1450

p^ = 0.69

We are not given the population proportion but we will assume; p = 0.5

Formula for confidence interval is;

CI = p^ ± z√(p(1 - p)/n)

Where z for CL of 95% is; z = 1.96

Thus;

CI = 0.69 ± 1.96√(0.5(1 - 0.5)/1450)

CI = 0.69 ± 0.026

CI = (66.58%, 71.35%)

Read more about Confidence intervals at; https://brainly.com/question/26658887

Answer:

x = 8

Step-by-step explanation:

Step 1: Subtract 5x from both sides.

Step 2: Add 2 to both sides.

Step 3: Divide both sides by 2.

Step 4: Check if solution is correct.

Therefore, x = 8.

Answer:

x=8

Step-by-step explanation:

7x-2=5x+14

collect like terms (remember when taking a value across the equality sign name sure the sign of the value changes)

7x-5x=14+2

2x=16

divides both sides by the value of x

x=16/2

x=8

Answer:

10.) y = [tex]\frac{-1}{4}[/tex]x + [tex]\frac{17}{4}[/tex]  11.) y = 3x + 7

Step-by-step explanation:

10.) when given, slope, and a point you can use the equation y=mx+b to solve for "b" as your unknown. so, you substitute everything that you do know y = 4. x = 1. m = -1/4.

y=mx+b becomes 4 = [tex]\frac{-1}{4}[/tex](1) + b

4 = -1/4 +b

add the 1/4th to both sides to isolate b.

you end up with an answer of, 4[tex]\frac{1}{4}[/tex] which equals [tex]\frac{17}{4}[/tex]

so you end up with b =  [tex]\frac{17}{4}[/tex]

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11.) Do the same thing with the other problem.

you know m = 3. x = -1 and y = -4

substitute what you know now.

y = mx+b becomes -4 = 3(-1) + b

add -3 to both sides to isolate b

then you end up with an answer of

b = 7

Answer:

80/7, of 11 3/7

Step-by-step explanation:

make 4 into a fraction, 4/1, then make 2 6/7 into an improper fraction, 20/7. For fraction multiplication, multiply the numerators and then multiply the denominators. after doing that you will get 80/7 which in 11 3/7

Answer: The y-intercept is -2

The gradient is 2/3

and the length is 13

Step-by-step explanation:

The numbers of large bowl sold at the fair is 20

Data;

To solve this problem, we need to write system of equations for this.

Let x represent the numbers of small ceramic bowl

let y represent the numbers of large ceramic bowl

[tex]x+y=32...eq (i)\\18x + 35y = 916 ...eq(ii)[/tex]

From equation (i), let's make x the subject of formula

[tex]x + y = 32\\x = 32 - y...eq(iii)[/tex]

Let's substitute equation (iii) into equation (ii)

[tex]18x+35y = 916\\x = 32 - y\\18(32 -y) + 35y = 916\\576- 18y + 35y = 916\\17y = 916 - 576\\17y = 340\\\frac{17y}{17} = \frac{340}{17}\\ y = 20[/tex]

The numbers of large bowl sold at the fair is 20

Learn more on system of equations here;

https://brainly.com/question/18841812

Answer:

x² + (y - 2)² = 41

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

The distance from the centre to a point on the circle is the radius r

calculate r using the distance formula

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (0, 2 ) and (x₂, y₂ ) = (5, - 2 )

r = [tex]\sqrt{(5-0)^2+(-2-2)^2}[/tex]

  = [tex]\sqrt{5^2+(-4)^2}[/tex]

  = [tex]\sqrt{25+16}[/tex]

  = [tex]\sqrt{41}[/tex] , then r² = ([tex]\sqrt{41}[/tex] )² = 41

then

(x - 0)² + (y - 2)² = 41 , that is

x² + (y - 2)² = 41 ← equation of circle

Answer:

its B hope that helps have a great day

The number of customers that were served per hour at this restaurant is 60 customers per hour

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

600 customers were served during a 10-hour period of time. Hence:

slope = 600 customers / 10 hours = 60 customers per hour.

The number of customers that were served per hour at this restaurant is 60 customers per hour

Find out more on linear function at: https://brainly.com/question/15602982

The proportional relationship that represents the situation is:

y = 60x.

The graph is given at the end of the answer.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

[tex]y = kx[/tex]

In which k is the constant of proportionality.

In this problem, 600 customers were served during a 10-hour period of time, hence:

k = 600/10 = 60.

And the equation is:

[tex]y = 60x, 0 \leq x \leq 10[/tex]

The graph is sketched at the end of this answer.

More can be learned about proportional relationships at https://brainly.com/question/10424180

Answer:

a)

[tex]y=-\dfrac17x^2+2x+10[/tex]

[tex]y=2x+3[/tex]

b)  Equate the equations and solve for x:

[tex]-\dfrac17x^2+2x+10=2x+3[/tex]

[tex]\implies -\dfrac17x^2+2x-2x=3-10[/tex]

[tex]\implies -\dfrac17x^2=-7[/tex]

[tex]\implies x^2=49[/tex]

[tex]\implies x=\pm\sqrt{49}[/tex]

[tex]\implies x=7[/tex] (as time is positive)

The same number of people were rock climbing and zip-lining on day 7.

c) Substitute [tex]x = 7[/tex] into [tex]y = 2x + 3[/tex] and solve for y:

[tex]\implies 2(7)+3=17[/tex]

Therefore, 17 people were participating in each activity on day 7.

Answer:

The same number of people were rock climbing and zip-lining on day 7.

c) Substitute  into  and solve for y:

Therefore, 17 people were participating in each activity on day 7.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A

Answer:

100%

Step-by-step explanation:

Assume the fraction is X/Y.

Increase the numerator by 60%:  1.6X

Decrease the denominator by 20%:  0.8Y

New value:  1.6X/0.8Y

That is equal to 2(X/Y)

The fraction increases by 100%  [X/Y to s(X/Y)]

Answer:

82⁰

Step-by-step explanation:

Answer:

Its 81 in3

Step-by-step explanation:

(i took the test)

Answer: A'(3,0), B'(3,6), C'(9, 3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Well I can't really draw the square, but.
If the the squares perimeter is 20, and all sides on a square are the same, and there are 4 sides.
Do 20/4 which = 5 inches.
Then area is length x width,
So 5x5 which equals 25 inches.

Answer:

Mitosis means threads, and it refers to chromosomes while the cell starts to divide. Mitosis is when a eukaryotic cell's nucleus splits.

Answer:

2m²-6m

Step-by-step explanation:

First simplify the numerator.

Then cancel the common factor of m+3 and use distributive property.

Multiply m by m and lastly multiply -3 by 2.

With no limiting factors to the growth of the plants, the number of  months have passed since the plants were first introduced is 23.1.

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

A type of plant is introduced into an ecosystem and quickly begins to take over.

A scientist counts the number of plants after m months and develops the equation to model the situation, which is given as,

[tex]p(m)=19.3(1089)^m[/tex]

Most recently, the scientist counted 138 plants.

[tex]138=19.3(1089)^m\\(1089)^m=7.15[/tex]

Taking log both sides of the equation,

[tex]\log(1.089)^m=\log7.15\\m\log(1.089)=\log(7.15)\\m=\dfrac{\log7.15}{\log(1.089)}\\m\approx23.1[/tex]

Thus, with no limiting factors to the growth of the plants, the number of  months have passed since the plants were first introduced is 23.1.

Learn more about the exponential function here;

https://brainly.com/question/15602982

Answer:

With no limiting factors to the growth of the plants, the number of  months have passed since the plants were first introduced is 23.1.

Step-by-step explanation:

Answer:

10 is the answer

Step-by-step explanation:

thank me layer

Answer:

10

Step-by-step explanation:

The square root is the opposite of squared. 10²=10x10=100. There is no method of squarooting something. The only method would be calculator or memorizing perfect squares.

Answer:

A = 197 tons

B = 84 tons

Step-by-step explanation:

Given Equations: A + B = 281     A - B = 113

A = 113 + B

113 + B + B = 281

2B = 281 - 113

2B = 168

B = 84

A = 113 + 84

A = 197

5.880512439 x 10^16

5.880512439 x 10^16Hope this helps!

Answer:

The answer is

→ 5.8805124e+16 or 5.880512439 x 10^16

Step-by-step explanation:

Solution for both: [tex]5.8805124e+16[/tex]

First option: [tex]6437585839765349 + 52367538546941478 = 5.8805124e+16[/tex]

Second option: [tex]5.880512439 * 10^1^6 = 5.8805124e+16[/tex]

Therefore, [tex]5.8805124e+16[/tex] is your answer.

Hope this helped! :^)

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Submitted on 4/20/2022 at 12:52 PM

(To avoid plagarism, by users whom decide to copy.)

Answer:

bilmiyom ne olduğunu Türkçe anlat

Answer:

x = 29

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

3(x + 2) + 52 + 35 = 180 , that is

3(x + 2) + 87 = 180 ( subtract 87 from both sides )

3(x + 2) = 93 ( divide both sides by 3 )

x + 2 = 31 ( subtract 2 from both sides )

x = 29

Answer:

6/7

Step-by-step explanation:

We want the numerical ratio

   green apple trees          18

  ------------------------------ = --------    which reduces to 6/7 (answer)

     red apple trees             21

Answer:

1.05263

explanation:

8 divided by 7.6

[tex]\hookrightarrow \dfrac{8}{7.6}[/tex]

multiply both by 10

[tex]\hookrightarrow \dfrac{80}{76}[/tex]

final answer

[tex]\hookrightarrow 1.05263[/tex]

Answer:

3,384

Step-by-step explanation:

So this is a classic multiplication problem. If each patron has 6 books, and there's 564 patrons, you multiply:

564 x 6 = 3,384

hope this helps:D