How many acute angles are in triangle ABC?

The congruency statement which are applicable are :

BE ≅ ZX

Arc BE ≅ Arc ZX

Given,

⊙A ≅ ⊙V (congruent) .

Now,

According to the figure the the two circles are congruent to each other .

As two circles are congruent their corresponding line segments and arcs will be similar to each other.

Thus the conclusions which are true from the following are:

Line segment BE is congruent to line segment ZX .

∴ BE ≅ ZX

Arc BE is congruent to Arc ZX .

Arc BE ≅ Arc ZX

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Image of the question is attached below .

SOLUTION:

We are to write and solve an equation to find how far above Jorge's head the balloon is;

To answer this question, we make use of Pythagoras' theorem.

Answer:

y = 9 and x = -2

explanation:

equations given:

Before doing elimination, we need to make either x or y, similar.

( -2x - y = -5  ) * 4

-8x - 4y = - 20 ____equation 1        [ here i am making y similar ]

3x - 4y = -42 _____ equation 2

solving simultaneously:

 -8x - 4y = - 20

(-) 3x + 4y = +42

--------------------------------------

-11x = 22          

x =  \(\frac{-22}{-11}\)

x = -2

Find y:

3x - 4y = -42         [ replace -2 as x ]

3(-2) - 4y = -42

-6 - 4y = -42

-4y = -42 + 6

-4y = -36

y = 9

Answer:

c ) 2480 cm²

Step-by-step explanation:

Surface Area of a Triangular prism =

S = bh + lb + 2ls

b = 30cm

h = 8cm

s = 17 cm

l = 35cm

The surface area = 30cm × 8 cm + 35 × 30 cm + 2(35 × 17)

= 240 cm² + 1050 cm² + 1190 cm²

= 2480 cm²

Option c is the correct option

Answer:

A: 5,8,11,14

B: 33,28,23,18

Step-by-step explanation:

Pattern A

2 +3 = 5

5+3 = 8

8+3 = 11

11+3 = 14

Pattern B

38 -5 = 33

33-5 = 28

28-5 =23

23-5 = 18

A: 2, 5, 8, 11, 14

B: 38, 33, 28, 23, 18

Suppose a certain medical test has a false positive rate of 6 out of 3,500, then during the period in which 27 false positives were obtained, the number of people tested was 15,750.

Step 1: Determine the probability of a false positive. The probability of a false positive is given as 6 out of 3500, so it can be expressed as a fraction: 6/3500

Step 2: Determine the number of false positives in the given period. The problem states that 27 false positives returned during the period, therefore: False positive rate x number of people tested = number of false positives 6/3500 x number of people tested = 27

Step 3: Solve for the number of people tested. 6/3500 x number of people tested = 27 Number of people tested = 27 / (6/3500) Number of people tested = 15,750 Therefore, during the period in which 27 false positives were obtained, the number of people analyzed was 15,750.

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Answer:

(x-9)(x-2)

Step-by-step explanation:

Statistics report that the average successful quitter is able to stop smoking after multiple attempts, usually between 8 to 10 times.  everyone's journey to quitting smoking is unique and may take more or fewer attempts to achieve success.

According to statistics, the average successful quitter is able to stop smoking after attempting to quit 6 to 30 times. This number varies due to individual factors and the methods used for quitting. Remember, persistence is key, and it is never too late to quit smoking for a healthier lifestyle.

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Therefore, the area of the triangle is 2√5 square units, expressed in simplest radical form.

To find the area of a triangle, we can use Heron's formula, which states that the area (A) of a triangle with side lengths a, b, and c is given by:

A = √(s(s - a)(s - b)(s - c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

Given the side lengths of the triangle as 4, 3, and 3 units, we can calculate the semi-perimeter:

s = (4 + 3 + 3) / 2

= 5

Now, substituting the values into Heron's formula, we have:

A = √(5(5 - 4)(5 - 3)(5 - 3))

= √(5 * 1 * 2 * 2)

= √(20)

= 2√5

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Answer:

sqrt (2) * sqrt(45) + sqrt (2) * sqrt (80)

45 = 9 *5 "9" is a perfect square so

sqrt (45) = 3 * sqrt (5) * sqrt (2)

sqrt (2) * sqrt (80)

80 = 16 * 5  "16" is a perfect square so

sqrt (2) * sqrt (80) = sqrt (2) * 4 * sqrt(5)

Adding both answers we get

3 * sqrt (5) * sqrt (2) = 3 * sqrt(10)

PLUS

4 * sqrt (10)

which equals

7 * sqrt (10)

SO, the value of a is 7

Step-by-step explanation:

Answer:

The area of the trapezoid is 56 sq ft

Answer:

So its all there

Step-by-step explanation: is included

it is important to carefully select a sample that is representative of the population of interest to ensure that any conclusions drawn from the sample can be generalized to the larger population.

How to solve the question?

The statement can be completed as follows: The cars in the parking lot are the sample, while all of the cars registered in Georgia is the population.

A sample refers to a group of individuals or objects that are selected from a larger group, called the population, in order to draw conclusions or make inferences about the characteristics of the larger group. In this case, the random sample of cars taken from the grocery store parking lot represents a smaller subset of all registered vehicles in Georgia.

The population refers to the entire group of individuals or objects that share a common characteristic of interest. In this case, the population is all registered vehicles in Georgia, which includes cars owned by people of different races and ethnicities.

The statement tells us that 24% of all registered vehicles in Georgia are black, while only 18% of the cars in the random sample taken from the grocery store parking lot were black. This difference in percentages suggests that the sample of cars in the parking lot may not be representative of the entire population of registered vehicles in Georgia.

Therefore, it is important to carefully select a sample that is representative of the population of interest to ensure that any conclusions drawn from the sample can be generalized to the larger population. In this case, a more representative sample may need to be taken in order to make valid conclusions about the proportion of black cars in all registered vehicles in Georgia.

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YOUR COMPLETE QUESTION IS :-According to the state of Georgia, 24% of all registered vehicles in Georgia are black. A random sample of cars was taken in a large grocery store parking lot in Georgia, and 18% of cars were black. Fill in the vocabulary terms that will make the statement true. The cars in the parking lot are the while all of the cars registered in Georgia is the

Answer: Sample ; Population

Step-by-step explanation:

I just did it

Answer:

Length of the rectangular closet = 4 feet

Step-by-step explanation:

Area of his bedroom = 80 square feet.

The area of his bedroom = 10 times that of his rectangular closet.

Let x = area of his rectangular closet.

80 = 10 * x

80 = 10x

x = 80/10

= 8

x = 8 square feet

If the closet is 2 feet wide, what is its length?

Area of the rectangular closet = length × width

Let y = Length of the rectangular closet

8 Square feet = y feet × 2 feet

8 = 2y

y = 8/2

= 4

y = 4 feet

Length of the rectangular closet = 4 feet

The diameter of the circle is 12.5 inches

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

Given here: 157 breaks required to make a circular garden and cover the boundary.

Now each brick is 4 inches long

Thus total length of the circumference of the circular garden we get

157/4=39.25 inches long

Thus the circumference of the circle is given by

2πr=39.25

2r=39.25/3.14

d=12.5 inches

Thus the diameter is 12.5 inches.

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The correct answer choice which is not a likely reason to choose the z distribution for a hypothesis test of a mean is:

The value of o is very large

Simple hypothesis. Complex hypothesis. Directional hypothesis.

This can simply be defined as process of testing a hypothesis by comparing it with the null hypothesis.

So therefore, the correct answer choice which is not a likely reason to choose the z distribution for a hypothesis test of a mean is:

The value of o is very large

Complete question:

Which is not a likely reason to choose the z distribution for a hypothesis test of a mean?

a. The value of o is unknown

b. The value of o is very large

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Answer:

y = -4x + 5

Step-by-step explanation:

Linear Formula: y = mx + b

b: The line touches the Y-axis at the fifth unit (0,5)

m: Using the rise-over-run method; the line can be seen going from the coordinates (0,5) to (1,1). Moving from (0,5) to (1,1), you move the plot 4 units downwards and 1 unit to the right; 4/1 = 4. Since the line is sloping downward, the line entire slope value would be -4

With m = -4 and b = 5; your equation is y = -4x + 5

Answer:

Exactly 1

Step-by-step explanation:

y = 2 x + 1

Answer:

Dan made more

Step-by-step explanation:

Dan: 227×70=15,890 15% of 15,890 is 2,383.50

Mike:251×90=22,590 15% of 22,590 is 2,259

Step-by-step explanation:

Let the 5 even integers be x-4,x-2,x,x+2,x+4

Hence, x-4+x-2+x+x+2+x+4=530

Hence, 5x=530

Hence, x=530/5

Hence,x=106

so.. the integers are 102,104,106,108,110

Tyler drove 138miles, and brittney drove 116miles, the ratio of tyler's miles to brittney's miles is 69/58.

The ratio of Tyler's miles to Brittney's miles can be found by dividing Tyler's miles by Brittney's miles.

Ratio of Tyler's miles to Brittney's miles = Tyler's miles / Brittney's miles

Ratio of Tyler's miles to Brittney's miles = 138 miles / 116 miles

Simplifying the ratio by dividing both numbers by their greatest common factor, which is 2, we get:

Hence,

Ratio of Tyler's miles to Brittney's miles = 69/58

This means that for every 69 miles Tyler drove, Brittney drove 58 miles.

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Answer:

AB = 42

BC = 78

Step-by-step explanation:

AB = 4x + 6

BC = 7x + 15

AC = 120

A to B plus B to C is the same distance as from A to C, which is 120.

AB + BC = AC

(4x + 6) + (7x + 15) = 120

4x + 7x + 6 + 15 = 120

11x + 21 = 120

Subtract 21 from both sides.

11x = 120 - 21 = 99

11x = 99

Divide both sides by 11.

x = 9

AB = 4x + 6 = 4*9 + 6 = 36 + 6 = 42

BC = 7x + 15 = 7*9 + 15 = 63 + 15 = 78

Answer:

AB = 42

BC = 78

Answer:

x = 9

AB = 42

BC = 78

Step-by-step explanation:

AB + BC = AC

4x + 6 + 7x + 15 = 120

11x + 21 = 120

11x = 99

x = 9

AB = 4x + 6 = 4(9) + 6 = 36 + 6 = 42

BC = 7x + 15 = 7(9) + 15 = 63 + 15 = 78

9514 1404 393

Answer:

  2x -7y = 0

Step-by-step explanation:

Subtract the right side and simplify.

  5(x -y) = 3x +2y . . . . . given

  5x -5y -3x -2y = 0 . . . . subtract (3x+2y)

  2x -7y = 0 . . . . . standard form

Answer: π

Step-by-step explanation:

To convert from degrees to radians, you want to multiply the degrees by (π/180). In this case, we would multiply 180° by (π/180).

\(180*\frac{\pi }{180} =\pi\)

Answer:

I guess we have the table:

x     f(x)

-4      7

-2      5

0       3

2       1

4      - 1

To find the slope of this, we need to select two different points (x1, y1) and (x2, y2) and use the relation:

slope = (y2 - y1)/(x2 - x1)

let´s use the first two:

(-4,7) and (-2, 5)

Slope = (5 - 7)/(-2 - (-4)) = -2/2 = -1

Now, if we want to be sure that this is a linear equation, we should do the same for other two pairs of points, now use the first and the third:

(-4, 7) and (0,3)

S = (3 - 7)/(0 -(-4)) = -4/4 = -1

Now, for the function g(x) we can see a constant line, that is parallel to the x-axis.

This means that the slope of this function is equal to zero.

This means that the slope of g(x) is bigger than the slope of f(x), because 0 > 1

The circumference of the circle is given by C = πd, where d is the diameter of the circle. For the beverage area, d = 50 feet, so the circumference is C = π(50) = 157.08 feet (rounded to two decimal places). Each booth needs 10.5 feet (arc length) between its center and the center of the booth next to it. To determine how many booths can fit, we need to subtract the arc length between booths from the circumference of the circle and then divide by the arc length of each booth:

Number of booths = (C - nL) / L

where n is the number of spaces between the booths and L is the arc length of each booth. We can rearrange this equation to solve for n:

n = (C - L x Number of booths) / L

Substituting the values, we get:

n = (157.08 - 10.5x) / 10.5

where x is the number of booths. To find the maximum value of x, we need to round down to the nearest whole number:

x = floor(n) = floor((157.08 - 10.5x) / 10.5) = 14

Therefore, 14 booths can fit in the beverage area.

The circumference of the circle is C = πd = π(100) = 314.16 feet (rounded to two decimal places). The angle between each pole is 15 degrees, so the angle between the centers of each booth is also 15 degrees. To find the arc length between the centers of each booth, we need to multiply the circumference of the circle by the ratio of the angle between the centers of each booth to the angle between the poles:

Arc length between centers of each booth = C x (15/360) = 13.09 feet (rounded to two decimal places)

Therefore, there will be approximately 13.1 feet between the centers of each booth.

The circumference of the circle is C = πd = π(150) = 471.24 feet (rounded to two decimal places). Each food booth needs 30 feet between its center and the center of the booth next to it. To determine how many booths can fit, we can use the same equation as in part 1:

Number of booths = (C - nL) / L

where L = 30 feet. Substituting the values, we get:

x = floor((471.24 - 30x) / 30) = 15

Therefore, there will be approximately 15 food booths.

I hope this helps!

Answer:

: L = r * θ = 15 * π/4 =

Step-by-step explanation: