C
Z
Which two statements identify corresponding congruent parts for these triangles?
OA AB XY and ZCZY
O B. BC YZ and ZA = LX
OC. AB YZ and ZC ZX
O D. BC XY and ZA ZY

y = -1/5x + 3 which is a line perpendicular to 5x - 3y = -2 passing through the point (-5, 2).

The two distinct lines that cross each other at a 90° angle are called perpendicular lines. Have you noticed any similarities between the walls' intersecting corners, such as the letter "L"? They are the parallel lines, which are straight lines that cross each other at the proper angle.

If two lines cross at a 90° angle, we say that they are perpendicular to one another.

We know that perpendicular lines have reciprocal and opposite sign slope, so the slope of 5x - 3y = -2 is 5 and according the y intercept form,

3y = 5x +  2b

And for a perpendicular line the slope will be -1/5

Now using the point-slope form we will find the line perpendicular to Point (-5, 2)

y − y₁ = m(x − x₁)

Put m as -1/5, y₁ as 2 and x₁ as -5, and we will get

y − 2 = -1/5(x − 5)

y - 2  = -1/5x + 1

y  = -1/5x + 1 + 2

y  = -1/5x + 3

Thus y = -1/5x + 3 which is a line perpendicular to 5x - 3y = -2 passing through the point (-5, 2).

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The length of Plan A is 1 hour. The duration of Plan B is 1/3 hours

The first step is to formulate a set of linear equations :

2a + 3b = 3 equation 1

5a + 6b = 7 equation 2

Where:

In order to determine the value of a, take the following steps:

Multiply equation 1 by 2:

4a + 6b = 6  equation 3

Subtract equation 3 from equation 2

a = 1

In order to determine the value of b, substitute for the value of a in equation 3:

4(1) + 6b = 6

4 + 6b = 6

6b = 6 - 4

6b = 2

b = 2/6

b = 1/3 hours

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The value of d = [tex]\frac{8c}{33}[/tex]  (in terms of c)

How to find d from the equation?

The given equation is:

6 (2c+3d) = 5 (4c-3d)

⇒ 12c + 18d = 20c - 15 d

Grouping like terms,

⇒ 18 d + 15d = 20c - 12c

⇒ 33 d = 8 c

[tex]d =\frac{8c}{33}[/tex]

What is an equation?

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Answer:

y=3

Step-by-step explanation:

-5y = -15

divide by -5 on both sides to get y=3

Answer: y= -7/5

steps in the picture below!

Option c) 4.8 is solution to this equation.

The factor we multiply by itself three times to obtain a number is its cube root. 3 cube root of, end cubic root is the symbol for the cube root. The definition of a cube is the process of multiplying a number by itself three times, and a cube root is the opposite of a cube. Alternately, we could state that a number's cube root gives us a number that, when cubed, gives us the same number and is referred to as a perfect cube. Both the prime factorization approach and the long division method can be used to get a number's cube root.

Given Data

x³ + 9 = 117

x³ = 117 - 9

x³ = 108

x =∛108

Cube root:

x = 4.76

Option c) 4.8 is solution to this equation.

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The graph of the equation "y = 1/5x - 2" is shown: (Refer to the graph attached below.)

So, graph of equation: y = 1/5x - 2

Therefore, the graph of the equation "y = 1/5x - 2" is shown.

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Answer:

[tex]a_{n}[/tex] = 4 - 3(n - 1) and a₈ = - 17

Step-by-step explanation:

a recursive formula is of the form

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + d ( d is the common difference )

compare to

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3

then d = - 3

the explicit formula for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term

here a₁ = 4 and d = - 3 , then

[tex]a_{n}[/tex] = 4 - 3(n - 1) ← explicit formula

then

a₈ = 4 - 3(8 - 1) = 4 - 3(7) = 4 - 21 = - 17

The most appropriate choice for fraction will be given by-

Distance more Amanda ran on Monday and Tuesday than on Wednesday =  [tex]3\frac{7}{24}[/tex] miles

What is fraction?

Suppose there is a collection of objects and a part of the collection are taken. Fraction represents that part of the object which are taken. In other words it can be said that fraction represents part of a whole collection of objects.

The upper part of the fraction is called numerator and the lower part of the fraction is called denominator of the fraction

Distance Amanda ran on Monday = [tex]1\frac{1}{6}[/tex] miles = [tex]\frac{7}{6}[/tex] miles

Distance Amanda ran on Tuesday = [tex]2\frac{1}{2}[/tex] miles = [tex]\frac{5}{2}[/tex] miles

Total Distance Amanda ran on Monday and Tuesday = [tex](\frac{7}{6} +\frac{5}{2})[/tex] miles

                                                                                         = [tex](\frac{7+15}{6})[/tex] miles

                                                                                         = [tex]\frac{22}{6}[/tex] miles

                                                                                         = [tex]\frac{11}{3}[/tex] miles

Distance Amanda ran on Wednesday = [tex]\frac{3}{8}[/tex] miles

Distance more Amanda ran on Monday and Tuesday than on Wednesday

                                                                                           = [tex](\frac{11}{3} - \frac{3}{8})[/tex] miles

                                                                                           = [tex](\frac{88 - 9}{24})[/tex] miles

                                                                                            = [tex]\frac{79}{24}[/tex] miles

                                                                                            = [tex]3\frac{7}{24}[/tex] miles

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Answer: r = 6

Step-by-step explanation:

3r - (-2) = 20

The double minus sign makes it a +2 so lets rewrite

3r + 2 = 20

3r = 18

r = 6

The two variables are x and y as savings and cost, respectively. The inequality that represents the given sentence is x ≥ 14000 + y.

To represent an unknown number, letters and symbols are used which is known as variables.

The amount of savings and the costs are the unknowns, hence, we can assign a variable to each to represent them.

Let x = savings and y = cost.

Inequality demonstrates the relationship between quantities that are different from each other. The expressions in comparison can be separated by the symbol <, >, ≤, or ≥.

Let x = savings and y = cost.

The given sentence can be expressed as

x ≥ 14000 + y

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We draw the conclusion that the population mean is not higher than $18 and do not reject the null hypothesis.

A hypothesis is a statement that makes sense in light of the available information but hasn't been proved true or wrong. A hypothesis in statistics is a claim that will serve as the foundation for hypothesis testing (also known as a statistical hypothesis). In a scientific setting, a hypothesis is a tested claim regarding the relationship between two or more variables or a hypothesized cause of an observed occurrence.

Given,

The formula for our hypothesis is

H₀ u< 18, which states that the population mean cannot be higher than $18.

H₁ u > 18 denotes that the average income of the population is higher than $18.

They spent an average of $19.31 when dining out, with a standard deviation of $12.11.

Using given values,

= 19.31 -18/12.11÷√50

= 0.764

Now,

n - 1 = 49

P(tₙ₋₁ > Test statistics)

P(t₄₉ > 0.764)

Using t distribution table,

= 0.224

We draw the conclusion that the population mean is not higher than $18 and do not reject the null hypothesis.

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The inequality for the possible value of the number of tacos sold in the number of burrito will be;

⇒ $3.75x + $7.75y < 430

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

Cost of each taco = $3.75

Cost of each burrito = $7.75

And, Hannah Montana less than 430 of worth of tacos and burritos each day.

Now,

Let the number of taco = x

Let the number of burrito = y

So, Cost of taco = $3.75x

Cost of burrito = $7.75y

Since, Hannah Montana less than 430 of worth of tacos and burritos each day.

So, we can formulate the inequality as;

⇒ $3.75x + $7.75y < 430

Therefore,

The inequality for the possible value of the number of tacos sold in the number of burrito will be;

⇒ $3.75x + $7.75y < 430

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The area per person allowed for Festival B is 19 m² greater than the area per person allowed for Festival A.

To compute the area per person for each festival, we determine the total areas for Festival A and Festival B.

The total area for each festival is then divided by the most significant number of persons allowed.

Remember that the area is the product of length and width squared.

The area of the rectangular field for Festival A = 80,000 m²

The length of the field for Festival B = 2,000 m

The width of the field for Festival B = 700 m

The area of the rectangular field for Festival B = 1,400,000 m² (700 x 2,000)

The most significant number of persons attending Festival A = 425

The greatest number of persons attending Festival B = 6,750

The area per person for Festival A = 188 m² (80,000 m²/425)

The area per person for Festival B = 207 m² (1,400,000 m²/6,750)

The difference between the area per person for Festival A and Festival B = 19 m² (207 - 188).

Thus, we can conclude that Festival B has 19 m² areas per person allowed than Festival A.

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The reflection over the x- axis are F" (-3/2 , -3/2), G" (-3/2 , 3) ,

H"  (-3 , -3).

Given,

Dilation: (x, y) -> (3/4 * x, 3/4 * y)

From the graph,

Angle FGH with vertices F(- 2, 2) , G(- 2, - 4) and H(- 4, - 4)

To find the reflection.

Now, According to the question:

Let's know the Reflection over x - axis:

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Come to the solution:

F(- 2, 2) , G(- 2, - 4) and H(- 4, - 4)

Dilation: (x, y) -> (3/4 * x, 3/4 * y)

F' (3/4 × -2 , 3/4 × 2) = (-3/2 , 3/2)

G'  (3/4 × -2 , 3/4 × -4) = (-3/2 , -3)

H'  (3/4 × -4 , 3/4 × -4) = (-3 , -3)

Reflection in the x -axis of FGH are:

F" (-3/2 , -3/2)

G" (-3/2 , 3)

H"  (-3 , -3)

Hence, The reflection over the x- axis are F" (-3/2 , -3/2), G" (-3/2 , 3) ,

H"  (-3 , -3).

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The measurement of ∠4 is 132° when ∠3 and ∠4 are supplementary angles.

According to the question,

We have the following information:

∠3 and ∠4 are supplementary. if the measurement of ∠3 is 2x+8 and the measurement of ∠4 is 6x+12.

We know that when two angles are supplementary then it means that the sum of the given angles is 180°.

Now, before finding the measurement of ∠4, we will have to find the value of x.

∠3+∠4 = 180°

2x+8+6x+12 = 180°

8x+20 = 180

8x = 180-20

8x = 160

x = 160/8

x = 20°

Now, putting this value of x in ∠4.

∠4 = (6x+12)°

∠4 = (6*20+12)°

∠4 = (120+12)°

∠4 = 132°

Hence, the measurement of ∠4 is 132°.

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Answer:

187 people

Step-by-step explanation:

5 to 6 is the same as 5/6. 5 is the men and 6 is the women. We know that there are 102 women so we can arrange this equation.

[tex]\frac{5}{6}[/tex]  = [tex]\frac{x}{102}[/tex]

Re-arrange the equation to find x, or the number of men in the company.

[tex]\frac{(102*5)}{6}[/tex] = x

x = 82

We have found the number of men in the company. Now add the number of men and women.

102 + 82 = 187

187 total people!

Answer: 187 employees

Step-by-step explanation:

ratio of men to women: 5:6

number women working for company: 102

to work out the number of men working for the company, you must first find out what you have to multiply 6 by to get to 102

therefore you do 102/6 which is 17

now you do 17x5 to work out how many men are working for the company which is 85

total number of employees: 102+85=187

Answer:

64,40,16

Step-by-step explanation:

its just the previous number -24

Answer:

take away 24

64,40,16

Step-by-step explanation:

hope it helps and have a nice day!!! :)

BRAINIEST is appreciated it would really help

Answer:

this is a rip off there at no 20 points it only 10

Step-by-step explanation:

The slope of the given line is 0.8.

From the given graph, the coordinate points are (0, 3.5) and (-4.5, 0)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of that line.

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

= (0-3.5)/(-4.5-0)

= 3.5/4.5

= 0.77

≈ 0.8

Therefore, the slope of the given line is 0.8.

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Exam A:

Z = -1, then...

Exam B:

Answer: 21

The area of the circle is found to be 176.74 cm² up to two decimal points.

For the given question,

The radius of the circle is 7.5 cm.

The formula for the area of the circle is;

Area = πr²

π = 3.142 and r is the radius.

Put the values.

Area = 3.142 × 7.5²

Area = 176.74

Thus, the area of the circle is found to be 176.74 cm² up to two decimal points.

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

piggy bank:

quarters and dimes = $5.10

# quarters and dimes = 27

Step 02:

system of equations:

quarters = q

dimes = d

equation 1:

q + d = 27

equation 2:

0.25q + 0.10d = 5.10

The answer is:

q + d = 27 eq.1

0.25q + 0.10d = 5.10 eq.2

Using the properties of arithmetic sequence , we calculate

a) 100 seats in the first row (b) 40 rows are required (c) 22 more seats in each row (d) 958 seats in the last row.

The overlap of any two doubly infinite arithmetic progressions seems to be either empty or another arithmetic progression, according to the Chinese remainder theorem.

If every pair of advancements in a family of twice infinite arithmetic progressions has a non-empty intersection, then there is a number that connects all of the pairs; consequently, an infinite arithmetic progression is a member of the Helly family.

However, rather than being an unending progression in and of itself, the intersection of an infinite number of infinite arithmetic progressions might be a particular number.

We know that the AP has the total number of seats between 18 000 and 22 500.

So if we take first term as 100 common difference as 22 and 40 rows we get :

sum =  [tex]\frac{40}{2} [2\times 100+(40-1)22] = 21160[/tex]

Therefore the number of seats in the arena matches the required description.

and the last row will have 100+(39)22 = 968 seats.

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Answer:

11/28

Step-by-step explanation:

[tex]\log \left(\frac{2x+1}{3x-1} \right)=1 \\ \\ \frac{2x+1}{3x-1}=10 \\ \\ 2x+1=30x-10 \\ \\ 11=28x \\ \\ x=11/28[/tex]

On checking this solution in the original equation, we see it works.

====================================================

Work Shown:

5 out of 9 are pepperoni, so 4 out of 9 are not pepperoni

(4 not pepperoni)/(9 pizzas) = (x not pepperoni)/(144 pizzas)

4/9 = x/144

4*144 = 9x

576 = 9x

9x = 576

x = 576/9

x = 64

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

Slightly alternative route:

(5 pepperoni)/(9 pizzas) = (y pepperoni)/(144 pizzas)

5/9 = y/144

5*144 = 9y

720 = 9y

9y = 720

y = 720/9

y = 80

Out of the next 144 pizzas, 80 are expected to be pepperoni. That means there should be 144-80 = 64 pizzas that aren't pepperoni.

The density of drink is 1.01 g/cm³ when 25 cm³ of apple juice are mixed with 15 cm³ of fruit syrup and 280 cm³ of carbonated water to make a drink with a volume of 320 cm³.

The density of a substance demonstrates the substance's density in a particular area. Mass per unit volume is the definition of density for a material. In essence, density is an indicator of how closely together matter is arranged.

It is one of an object's special physical characteristics. Greek scientist Archimedes was the first to understand the density principle. Knowing the formula and the corresponding units will make calculating density simple. Density can be symbolized by the letter D or by the symbol.

We know that the formula for density is

D = m/V

Where,

D = Density

m = mass,

V = Volume

25 cm³ of apple juice are mixed with 15 cm³ of fruit syrup and

280 cm³ of carbonated water to make a drink with a volume of 320 cm³.

Let us find the mass of each drink mixed to make the new drink

mass = density × volume

mass of apple juice =  1.05 × 25

                                 = 26.25 g

Mass of fruit syrup = 1.4 × 15

                               = 21 g

Mass of carbonated water = 0.99 × 280

                                            = 277.2 g

Total mass of the drink = 26.25 g + 21 g + 277.2 g

                                       = 324.45 g

Volume of the given drink =  320 cm³

Density of the drink = total mass of liquids/ volume

                                 = 324.45g/320cm³

                                  = 1.01 g/cm³

Thus, the density of drink is 1.01 g/cm³ when 25 cm³ of apple juice are mixed with 15 cm³ of fruit syrup and 280 cm³ of carbonated water to make a drink with a volume of 320 cm³.

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The common denominator for the fractions given will be:

1. The common denominator is 8.

2. The common denominator is 6.

3. The common denominator is 10.

4. The common denominator is 12.

It should be noted that when a fraction is illustrated as a/b.

a = numerator

b = denominator.

1. We have 1/8 and 1/4. The common denominator is 8 since that's the lowest common multiple for the denominators.

2. We have 4/6 and 1/2. The common denominator is 6 since that's the lowest common multiple for the denominators.

3. We have 2/5 and 1/2. The common denominator is 10 since that's the lowest common multiple for the denominators.

4. We have 5/12 and 1/4. The common denominator is 12 since that's the lowest common multiple for the denominators.

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Answer:

18.3 yards

Step-by-step explanation:

6 yards = 18 feet

1/3 yards = 0.3333...