match the angle pair with the angle relationship that beat represent the pair of angles.

a)corresponding angles
b)consecutive exterior angles
c)alternate exterior angles
d)alternate interior angles
e)consecutive interior angles

1.angle9 and angle 16
2.angle3 and angle 5
3.angle 7 and angle 15
4.angle 1 and angle 10
5.angle 2 and angle 11

^^^^^places angles(number) with words!! (lettters)

Answer:

k = 3.5

Step-by-step explanation:

From the graph in the picture attached,

Relation between balloons height (y) is directly proportional to the time (x)

y ∝ x

y = kx

Where 'k' is a proportionality constant.

Now we substitute the point (8, 28) in the equation,

28 = k(8)

k = \(\frac{28}{8}\)

k = 3.5

k ≈ 3.5

Therefore, value of constant 'k' is 3.5

Answer:

y=x y=-x

Step-by-step explanation:

Answer:

y= 12x4

Step-by-step explanation:

i have a degree for this stuff

Answer:

\( \frac{1}{2} \times 25 \times 10 = 125 \)

\( \frac{1}{2} \times breath \times perpedicular \: hight\)

Answer:

10c - 2

Step-by-step explanation:

Answer:

B. 10c + - 2

Step-by-step explanation:

(7c + 2) - (-3c + 4)

(7c + 2) - (-3c - 4)

7c + 2 + 3c - 4

10c + 2 - 4

10c - 2

Answer:

The vertex of the function is at (–3,–16)

The graph is increasing on the interval x > –3

The graph is positive only on the intervals where x < –7 and where

x > 1.

Step-by-step explanation:

The graph of \(f(x)=(x-1)(x+7)\) has clear zeroes at \(x=1\) and \(x=-7\), showing that \(f(x) > 0\) when \(x < -7\) and \(x > 1\). To determine where the vertex is, we can complete the square:

\(f(x)=(x-1)(x+7)\\y=x^2+6x-7\\y+16=x^2+6x-7+16\\y+16=x^2+6x+9\\y+16=(x+3)^2\\y=(x+3)^2-16\)

So, we can see the vertex is (-3,-16), meaning that where \(x > -3\), the function will be increasing on that interval

Answer:

Use the completing the square method

which is

(x+ (b/2))^2 - (b/2)^2 + c

x^2+6x+8 = 0

a = 1 b = 6 c = 8

b/2 = 3

(x+3)^2 - 9 + 8 = 0

becomes

(x+3)^2 -1 = 0

which becomes

(x+3)^2 = 1

ADDITIONAL:

i don’t know why they said (x-h) since there are no negatives in this

let me explain

(x-h) ^2 is the same as (x-h)(x-h) which leaves us with

x^2 - 2xh + h

but the equation we start with is

x^2 + 6x + 8 = 0

look at the signs

the middle term’s one is different

Answer:

The area of the given triangle is 52 sq meters

Explanation:

Given that the area of a triangle can be found using the formula:

Area = 1/2 base . height.

The base of the give triangle is 13m, the height is 8m.

Using these,

Area = 1/2 * 13 * 8

= 52 square meters

Answer:

200

i just know its 200 no explanation

Answer:

5

Step-by-step explanation:

The correct answer is C) 9.9 lbs as it is above the upper boundary 6.4865, it is the outlier in this dataset.

An outlier is an observation that is much higher or lower than the other observations in a dataset.

In this case, the weights of the catfish range from 2.7 to 4.8 lbs, with one observation that is much higher at 9.9 lbs.

Therefore, 9.9 lbs is the outlier in this dataset.

To find the outlier in this dataset, we can calculate the interquartile range (IQR).

This is done by first calculating the first quartile (Q1) and third quartile (Q3).

The Q1 for this dataset =3.75

and the Q3= 4.675.

IQR= Q3 - Q1

= 0.925.

We then calculate the lower boundary as Q1 - (1.5 x IQR) = 2.3625.

The upper boundary is Q3 + (1.5 x IQR)= 6.4865.

Since 9.9 lbs is above this upper boundary, it is the outlier in this dataset.

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The length of the third side of the triangle, to the nearest hundredth, is approximately 54.75 units.

1. We have a triangle with two known side lengths: 43 and 67 units.

2. The angle included between these sides measures 27 degrees.

3. To find the length of the third side, we can use the Law of Cosines, which states that \(c^2 = a^2 + b^2\) - 2ab * cos(C), where c is the third side and C is the included angle.

4. Plugging in the known values, we get \(c^2 = 43^2 + 67^2\) - 2 * 43 * 67 * cos(27).

5. Evaluating the expression on the right side, we get \(c^2\) ≈ 1849 + 4489 - 2 * 43 * 67 * 0.891007.

6. Simplifying further, we have \(c^2\) ≈ 6338 - 5156.898.

7. Calculating \(c^2\), we find \(c^2\) ≈ 1181.102.

8. Finally, taking the square root of \(c^2\), we get c ≈ √1181.102 ≈ 34.32.

9. Rounding to the nearest hundredth, the length of the third side is approximately 34.32 units.

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Answer:

C. 3(x+1)(x-1)-4x

Step-by-step explanation:

3(x+1)(x-1)-4x

(x+1)(x-1)=x^2-1

3(x^2-1)-4x

3x^2-4x-3

Answer:

1. Signed

2. True, -(30/6)=-5, 30/-6=-5, hence they are equal

3. True

Step-by-step explanation:

Answer:

Question 5 is true

Question 4 is false

Step-by-step explanation:

I am not sure about the first question because numbers that are either positive or negative are called integers, however, this is not one of the options.

Answer: 14,605 pieces.

Step-by-step explanation:

In the second quarter, the company produced 795 pieces more than in the first quarter.

So, the total pieces produced in the second quarter can be calculated as:

6905 + 795 = 7700

The total pieces produced in the first semester (two quarters) can be calculated as:

6905 + 7700 = 14,605

Therefore, the company produced 14,605 pieces in the first semester.

The number of pieces the company produced in the first semester was 14,605 pieces.

The question asks to calculate how many pieces a company produced in the first semester, considering the production of two quarters.

In the first quarter, the company produced 6,905 pieces, as indicated in the question.

Already in the second quarter, the company produced 795 more pieces than in the first quarter, which means that the production in the second quarter was:

6,905 + 795 = 7,700 pieces.

To know the company's total production in the first semester, just add the productions of the two quarters:

6,905 + 7,700 = 14,605 pieces

Answer:

2 or3 ,5,7,11 I suppose please correct if wrong

Answer:

It is basically a question of probability so

Probability = Number of event

                     Number of sample space

Number of sample space = 12

Since the event needed is a prime number so first list the numbers 1 to 12 which is (1,2,3,4,5,6,7,8,9,10,11,12) so the prime numbers there are (2,3,5,7,11) so therefore the number  of event will be 5

THEREFORE:

p = \(\frac{5}{12}\)

Step-by-step explanation:

By trigonometric functions, the length of the hypotenuse is approximately equal to 131.571.

In this problem we find the measure of an angle and its opposite side from a right triangle, whose representation is shown in the image attached below.

Trigonometric functions are transcendent expression that relates an angle of the right triangle with two sides of the same. We can find the measure of the hypotenuse by the definition of the sine function:

sin θ = h / r

Where:

If we know that h = 45 and θ = 20°, then the length of the hypotenuse is:

r = h / sin θ

r = 45 / sin 20°

r ≈ 131.571

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Answer:

Part A

9x^2 + 24x + 16 = (3x + 4)(3x + 4)length of each side = 3x + 4 units.

Part B:

16x^2 - 25y^2= (4x + 5y )( 4x - 5y)

length = 4x + 5y and width = 4x - 5y

The regression line is yˆ = 4 + 1.891x , the coefficient of determination of two variables or the fraction of the variation in y that can be explained by the variation in the values of x is 0.51..

Here the fitted regression equation of y on x is

yˆ = 4 + 1.891x ---(*)

where, x --> Independent variable

yˆ --> predicted value of the dependent variable

Now, b₁ = slope cofficient = 1.891 ~ 1.91

(estimated from least squares method)

We have given that,

Standard deviations for X = 1.34 = sₓ say

Standard deviations for Y = 3.6 = sᵧ say

we know, b₁ = r₀( sₓ/sᵧ ) where ro is corr(X,Y)

=> 1.91 = r₀ (3.6/1.34)

=> 1.91×1.34/ 3.6 = r₀

=> r₀ = 0.71944

Defining, R² = cofficient of determination of two variables = Proportion of variation in Y , explained by the variation in the value of X, through the regression model.

= (r₀)² = (0.71944)² = 0.505442

R² = 0.505442 ~ 0.51 (in two decimals)

Hence, the cofficient of determination is 0.51..

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Complete question:

Using your favorite statistics software package, you generate a scatter plot which displays a linear form. You find a regression equation and the standard deviation for both variables. The standard deviation for x is 1.34 , and the standard deviation for y is 3.6 . The regression equation is reported as y = 4 + 1.891x . What fraction of the variation in y can be explained by the variation in the values of x? (Enter your answer as a decimal between 1 and 2.)

Answer:

500,000

hope this helps

The exact value of the secant function of the point (x, y) = (7, √15) is equal to 8 / 7.

Herein we have the coordinates of a point set on Cartesian plane, which represents the end of the hypotenuse of a right triangle. Now we must find the exact value of the secant function associated to the angle created by that point:

sec θ = 1 / cos θ

By definition of trigonometric functions and Pythagorean theorem:

sec θ = 1 / (x / r)

sec θ = r / x

sec θ = √(x² + y²) / x

If we know that x = 7 and y = √15, then the exact value of the secant function is:

sec θ = √(7² + 15) /7

sec θ = 8 / 7

The exact value of the secant function of the point (x, y) = (7, √15) is equal to 8 / 7.

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Answer:

Step-by-step explanation:

cos a cos b+sin a sin b=cos (a-b)

cos 160 cos 10+sin 160 sin 10=cos (160-10)

=cos 150

=cos (180-30)

=-cos 30

=-√3/2

The value of the given trigonometric expression is -0.8659.

Trigonometric angles are the angles in a right-angled triangle using which different trigonometric functions can be represented. Some standard angles used in trigonometry are 0º, 30º, 45º, 60º, 90º.

The given expression is cos(160°) cos(10°) + sin(160°) sin(10°).

Here, cos160° = -0.9396

cos10° = 0.9848

sin160° = 0.3420

sin10° = 0.1736

(-0.9396)×0.9848+0.3420×0.1736

= -0.8659

Therefore, the value of the given trigonometric expression is -0.8659.

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The area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

To find the area of a rectangle, we multiply its length by its width. In this case, the width is given as 5.1 cm and the height (or length) is given as 11.2 cm.

Area = length × width

Area = 11.2 cm × 5.1 cm

Calculating the product, we get:

Area = 57.12 cm²

Therefore, the area of the rectangle is 57.12 cm².

The correct answer is: 57.12 cm².

It is important to note that when calculating the area of a rectangle, we should always include the appropriate unit of measurement (in this case, cm²) to indicate that we are dealing with a two-dimensional measurement. The area represents the amount of space covered by the rectangle's surface.

So, the area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

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If the linear equation 2x+3y=14 is rewritten in function notation as f(y)=−32y+7, the dependent variable is x

In the linear equation 2x+3y=14, we can solve for y by isolating it on one side of the equation:

2x + 3y = 14

3y = -2x + 14

y = (-2/3)x + 14/3

Now, we can write this equation in function notation by replacing y with f(y) and x with the independent variable, usually denoted by 'x'. Therefore, we have:

f(y) = (-2/3)x + 14/3

The function f(y) tells us the value of x for any given value of y. In other words, y is the independent variable, and x is the dependent variable.

Therefore, the dependent variable in the function f(y) = (-2/3)x + 14/3 is x. The value of x is determined by the value of y, which is the input to the function. This means that for any value of y, we can determine the corresponding value of x by plugging in y into the equation and solving for x.

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Answer:

25 + 9^3

Step-by-step explanation:

Answer: 200

Step-by-step explanation:

given data:

In a sample 76 people or 38% voted  the mayor to be prosecuted.

solution:

how many people were in that sample

if 38% = 76 people

therefore;

let

p = total number of people

76/p = 38/100

cross multiply both sides

38p = 7600

divide both sides by 38

38p /38 = 7600 /38

p = 200

the number of people in the sample original was 200.

Answer:

there you go . i couldnt write it so i took a screenshot of it . mark me brainliest plz

Answer:

linear model

Step-by-step explanation:

linear graph will produce a straight line

Answer:

a. 0.48

b. The 96% confidence interval for p is (0.457, 0.503).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

In a poll of 2000 likely voters, 960 say that the US spends too little on fighting hunger at home.

This means that \(n = 2000, \pi = \frac{960}{2000} = 0.48\).

This is the answer for question a.

96% confidence level

So \(\alpha = 0.04\), z is the value of Z that has a pvalue of \(1 - \frac{0.04}{2} = 0.98\), so \(Z = 2.056\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 - 2.056\sqrt{\frac{0.48*0.52}{2000}} = 0.457\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 + 2.056\sqrt{\frac{0.48*0.52}{2000}} = 0.503\)

The 96% confidence interval for p is (0.457, 0.503).

The tan θ and cos θ values of 17π/12 are illustrations of trigonometry ratios

The values of tan θ and cos θ are 2 + √3 and (√2 - √6)/4, respectively

We have:

θ = 17π/12

Express as sum

θ = 9π/12 + 8π/12

Simplify

θ = 3π/4 + 2π/3

The above becomes

tan(17π/12) = tan(3π/4 + 2π/3)

Using the sum formula, we have:

tan(A + B) = [tan(A) + tan(B)]/[1 - tan(A)tan(B)]

Substitute known values

tan(3π/4 + 2π/3) = [tan(3π/4) + tan(2π/3)]/[1 - tan(3π/4)tan(2π/3)]

Evaluate the expression

tan(3π/4 + 2π/3) = [-1 - √3]/[1 - (-1)(-√3)]

Evaluate the product

tan(3π/4 + 2π/3) = [-1 - √3]/[1 - √3]

Rationalize

\(tan(\frac{3\pi}4 + \frac{2\pi}3) = \frac{-1 - \sqrt3}{1 - \sqrt3} * \frac{1 + \sqrt3}{1 + \sqrt3}\)

Evaluate the product

\(tan(\frac{3\pi}4 + \frac{2\pi}3) = \frac{-(1 + \sqrt3)^2}{1 - 3}\)

This gives

\(tan(\frac{3\pi}4 + \frac{2\pi}3) = \frac{-(1 + 3 + 2\sqrt 3)}{-2}\)

\(tan(\frac{3\pi}4 + \frac{2\pi}3) = \frac{-(4 + 2\sqrt 3)}{-2}\)

Divide

\(tan(\frac{3\pi}4 + \frac{2\pi}3) = 2 + \sqrt 3\)

So, we have:

tan(17π/12) = 2 + √3

We have:

θ = 17π/12

Express as difference

θ = 9π/4 - 5π/6

The above becomes

cos(17π/12) = cos(9π/4 - 5π/6)

Using the difference formula, we have:

cos(A - B) = cos(A)cos(B) + sin(A)sin(B)

So, we have

cos(17π/12) = cos(9π/4)cos(5π/6) + sin(9π/4)sin(5π/6)

Evaluate

\(cos(\frac{17\pi}{12}) = \frac{\sqrt 2}{2} * - \frac{\sqrt 3}{2} + \frac{\sqrt 2}{2} * \frac 12\)

Evaluate

\(cos(\frac{17\pi}{12}) = \frac{\sqrt 2}{2} (- \frac{\sqrt 3}{2} + \frac 12)\)

Evaluate the difference

\(cos(\frac{17\pi}{12}) = \frac{\sqrt 2}{2} (\frac{1 - \sqrt 3}{2})\)

Expand

cos(17π/12) = (√2 - √6)/4

Hence, the values of tan θ and cos θ are 2 + √3 and (√2 - √6)/4, respectively

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