Find the measures of angle PQR and angle PRQ in the triangle below.

Answer:

6x+97

Step-by-step explanation:

Hint: 3 sides of a triangle adds up to 180*.

((i know ur gonna clown on me for not giving the answer(i know the answer :d)but trust me the if u get da hint, ull solve it fine)

Answer:

M/s, km/h, and mph

Step-by-step explanation:

M/s = meters (travelled) per second

km/h = kilometers (travelled) per hour

mph= miles (travelled) per hour

Answer:

m/s

km/h

mph

Step-by-step explanation:

: )

Answer:

The answer would be -4/5

Step-by-step explanation:

When you add a negative to a negative, you first take out the plus sign and rewrite it as: -2/5 - 2/5.

Now you just simply subtract 2/5 from -2/5 to get -4/5.

Hope this helps.

Please give brainliest

The POINT of a hyperbola is one of two points such that the difference of the distances from any point on the hyperbola to the foci is a constant.

Hence, The POINT of a hyperbola is one of two points such that the difference of the distances from any point on the hyperbola to the foci is a constant.

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The required answers for given similar triangles are DF= 3, EF= 2.25, and scale factor 4/3 respectively.

In geometry, two geometrical triangle are similar if they have the same shape, and corresponding sides are equate by some factor. More accurately, one can be obtained from the other by uniformly scaling.

For length of side DF, ratio of corresponding sides is equal.

⇒  [tex]\frac{AB}{DE} =\frac{AC}{DF}[/tex]

⇒  [tex]\frac{2}{1.5}=\frac{4}{DF}[/tex]

⇒  DF = 3

Similarly for EF,

 [tex]\frac{AB}{DE} =\frac{BC}{EF}[/tex]

⇒[tex]\frac{2}{1.5}=\frac{3}{EF}[/tex]

⇒ EF = 2.25

At last, by using same concept of similarity scale factor is

 [tex]\frac{AB}{DE} =\frac{AC}{DF}[/tex]

⇒ [tex]\frac{AB}{DE} =\frac{4}{3}[/tex]

This is our scale factor for both triangle.

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Answer:

a=100, c=44

Step-by-step explanation:

# of adult tickets is represented by a

# of child tickets is represented by c

C+A=144

9a+6c=1164

system of equations is solved by solving 1 equation for 1 variable first.

c=144-a

plug in c in the second equation

9a+6(144-a)=1164

9a+864-6a=1164

combine like terms

3a=300

a=300/3

a=100

now we know a is 100 we can plug it into the original equation of c=a=144

c+100=144

c=144-100

c=44

To perform Rotation in coordinate plane the following information may help you.

What is Geometric Rotation ?

In geometry, rotation is a type of rigid motion or transformation that involves the movement of a shape about a point while preserving the shape, size, and distance between the points on the shape.The center of rotation is the location around which the shape is rotated.

To perform Rotation in coordinate plane

Last two questions sum up and I'm explaining like that,

      When a point is reflected in the x-axis then signs of it's ordinate (y-axis) change.

Mₓ (x, y) = (x, - y)

When a point is reflected in the y-axis then signs of it's abscissa (x-axis) change.

My (x, y) = (-x, y)

When a point is reflected in the origin , the signs of it's Abscissa and ordinate change.

M₀ (x, y) = (-x, -y)     (in origin the sign become opposite if there is '+' then it changes to '-' and vice versa)

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Answer

Step-by-step explaination:

This is an algebraic equation. We have to solve it like this......

16-2t=5t+9

-5-2t=-16+9

-7t=-7

Ans: -7t=-7

Answer:

1. 384 cm square

2. m

3. -3 and 4

4.   1

Answer:

1) B

2) B

3) C

4) A

Step-by-step explanation:

     [tex]\sf \boxed{\text{Area of cube = $6a^2$}}[/tex]

Here, a is the side of the cube.

     Area of cube = 6 * 8 * 8

                            = 384 square cm  

Option B

2) y = mx + c.

Here, m is the slope or gradient and c is the y-intercept.

Option B

3) y = -3x + 4

Compare with y =mx + c,

         where m is the gradient and c is the y-intercept.

m = -3 and  = 4

Option C

4)

[tex]\sf Slope = \dfrac{y_2-y_1}{x_2-x_1}\\\\[/tex]

         [tex]\sf =\dfrac{-3-[-2]}{2-3}\\\\=\dfrac{-3+2}{-1}\\\\=\dfrac{-1}{-1}\\\\=1[/tex]

Option A

Answer: ∠B≈39.81°

Step-by-step explanation:

[tex]\displaystyle\\tg\angle B=\frac{AC}{BC} \\\\tg\angle B=\frac{5}{6} \\\\\angle B=arctg\frac{5}{6} \\\\\angle B\approx39.81^0[/tex]

Answer: By compare the graph of -6 ≤ x ≤-4 with the graph of x ≤-6 or x ≥-4 we can see that in first graph value is x belongs to [-6,-4] and in second graph we can see that x belongs to (-∞,-6] ∪ [-4,∞)

What does a coordinate mean in math?

a pair of values used to specify a point's position on a coordinate plane using the horizontal and vertical breakups from the two reference axes. typically represented by the pair of x-values and y-values (x,y).

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The inequality that represents the the possible numbers of x pairs of socks you can buy when you buy 2 pairs of sneakers, using a system of equations, is of:

y ≤ 7.

A system of equations is a set of equations involving multiple variables that are related, and then operations are made to solve these equations and identify the numeric value of each variable in the context of the problem from which the system was built.

For this problem, the variables are given as follows:

You have a $250 card to use at a sporting goods store. Each pair of sneakers is worth $80 and a pair of socks costs $12, hence the inequality regarding the total spending is:

80x + 12y ≤ 250.

When two pairs of sneakers are bought, we have that:

x = 2.

Hence the inequality regarding how many pairs of socks can be bought is:

80(2) + 12y ≤ 250.

160 + 12y ≤ 250.

12y ≤ 90

y ≤ 90/12

y ≤ 7. (rounded down, as you can buy 7 pairs of socks but not 8).

The cost of a pair of socks is of $12.

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The given function shifted 3 units left is log(x+3), vertical compression by factor 2 is 2log(x+3), Reflection across the y-axis is 2log (-x+3) and shifted down by 5 units is 2log(-x+3)-5.

Given the parent function with base 10.

We want to find the given transformations.

The given parent function is y=log(x)

Firstly, we want to shift the given parent function 3 units left means we will add 3 in the parent function, we get

y=log(x+3)

Now, we want to do vertical compression by a factor of 2 means we will multiply the above function with 2, we get

y=2log(x+3)

Further, we want to reflected the above function across the y-axis means we will multiply the x with minus, we get

y=2log(-x+3)

Furthermore, we want to shift the above function down with 5 units means we will subtract 5 from the above function, we get

y=2log(-x+3)-5

Hence, the given parent function y=log(x) when shifted 3 units left is log(x+3), vertical compression by factor 2 is 2log(x+3), Reflection across the y-axis is 2log (-x+3) and shifted down by 5 units is 2log(-x+3)-5.

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Step-by-step explanation:

well this is a rather odd equation but I'm assuming that

x+x+x+x+x = 5x

By evaluating the linear equation we will see that:

A = -3

B = 4

And the correct line is the purple one.

We know that the points (0, A) and (B, 0) lie on the line 3x - 4y = 12

To find the value of A, we can replace the values of the point on the line, so we get:

3*0 - 4*A = 12

-4*A = 12

A = 12/-4 = -3

A = -3

To get the value of B we do the same thing.

3*B - 4*0 = 12

B = 12/3

B = 4

So the points are (0, -3) and (4, 0).

Then the correct line is the purple one.

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1.88 × 10² greater than 2.35 × 10⁻¹ by 800 times which is found by using division.

The two numbers given are:

1.88 times 10²

= 1.88 × 10²

And

2.35 times 10⁻¹

= 2.35 × 10⁻¹

We need to find that how much time is 1.88 × 10² greater than 2.35 × 10⁻¹.

We will use division for the same.

So, we get that:

= 1.88 × 10² / 2.35 × 10⁻¹

Using the rules of exponents and simplify the expression, we get that:

= 0.8 × 10 ²⁺¹

= 0.8 × 10³

= 0.8 × 1000

= 800

Therefore, we get that, 1.88 × 10² greater than 2.35 × 10⁻¹ by 800 times which is found by using division.

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The number of teams in the field hockey championship tournament is 16.

The total number of matches played in the field hockey championship are 120 matches.

Each pair of team played one match with each other.

So, let us say that there are N teams in the tournament.

So, we can chose any two teams for a match,

So, applying the permutation formula,

ⁿC₂ = 120

Solving further,

N!/2!(N-2)! = 120

N(N-1)/2 = 120

N(N-1) = 240

On observing closely and applying hit and trial method,

16(15) = 240

So, the values of N is 16.

Hence, 16 teams participated in the tournament.

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The height of the sand is changing when the height of the sand is 5 cm is 0.7848 in cm/sec

Volume is a measure of three-dimensional space that is occupied. It is frequently quantified numerically using SI-derived units (such as the cubic metre and litre) or various imperial units (such as the gallon, quart, cubic inch). The definition of length (cubed) is related to volume. The volume of a container is commonly understood to be its capacity; that is, the amount of fluid (gas or liquid) that the container can hold, rather than the amount of space it occupies.

Volume was measured in ancient times using similar-shaped natural containers, and later, standardized containers. Arithmetic formulas can easily calculate the volume of some simple three-dimensional shapes. Volumes of more complicated shapes can be calculated using integral calculus if a formula is provided.

The volume of the cylindrical is,

V = πr²h

V = volume

r = base radius

h = height

Calculate the difference between both sides of the equation in relation to time t. Because the radius r does not change over time, we can consider it a constant:

dv/dt = πr²(dh/dt)

Given,

dv/dt =555 cubic cm per second

r = 15

solve dh/dt:

555 = π(15)²(dh/dt)

dh/dt = 555(7/22)(1/225)

dh/dt =0.7848

The height of the sand is decreasing at a rate of 0.7848 in cm/sec

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sin 270° = sin 3π/2 = -1, the value of 0 is 270° or 3π/2.

Given,

sin 0 = -1

We have  to find the value of 0.

Lets see the trigonometric table for sin.

From the above table we get the value of sin 0

The value -1 is for sin 270° which is equal to sin 3π/2

That is,

sin 270° = sin 3π/2 = -1, the value of 0 is 270° or 3π/2.

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1 is value of x in given function.

What is the definition of a function?

f(x) = 2x + 4/6

put x = - 2  in equation

  f(-2) = 2 * -2 + 4 /6

          = -4 + 4 /6

          = 0/6

           = 1

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Answer:

slope of the line = 1

Step-by-step explanation:

i hope i helped

The type of sampling is stratified random sampling

Given that,

The population is first divided into subgroups based on one or more important variables. this sampling is nothing but stratified random sampling

What Is Stratified Random Sampling?

A crucial element of the sampling method known as stratified random sampling is the division of a population into smaller subgroups known as strata. Strata are established in stratified random sampling, also known as stratification, based on the shared characteristics or attributes of the participants, such as wealth or level of education. Examining life expectancy and population demographics is just one of the many benefits and uses of stratified random sampling. Other names for stratified random sampling are proportional or quota random sampling..

Hence, this sampling is stratified random sampling

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Answer:

infinite solution

Step-by-step explanation:

Since 0 = 0 for any value of y, the system of equations has infinite solutions.

Answer:

27/31

Step-by-step explanation:

Answer:

42 workers

Step-by-step explanation:

27 divided by 9 = 3 (how much we need to multiply workers by)

14x3=42

Part A: The formula 5d-13 indicates the distinction between the quantity of basic arrangements and deluxe arrangements sold.

Part B: The difference between the money the store made from basic arrangements and deluxe arrangements is $158.

An expression, also known as a mathematical expression, in mathematics is a finite combination of symbols that are well-formed in accordance with principles that depend on the context. Mathematical symbols can be used to represent variables, operations, functions, brackets, punctuation, grouping, and integers (constants) to help with logical grammar and operation ordering.

Part A: (8d-7)-(3d+6)

=8d-7-3d-6

=5d-13

Part B: For 7 days, d=7

              Cost        No. of sold

Basic       17          8(7)-7=49

Deluxe     25         3(7)+6=27

Therefore, Basic=17*49=$833

Deluxe=25*27=$675

Difference=833-675=158

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Using the linear function, the depth of the dive at 5 seconds is 60.95 feet

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable.

In this question, we can represent the problem using a linear function or equation and plug in the value of our unknown.

y = 4.8 + 11.23t

Using this function, we can find the depth at 5 seconds;

y = 4.8 + 11.23(5)

y = 60.95ft

The depth of the whale at 5 seconds is 60.95 feet

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uhmm,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

The property justified by step 4 is after substitution in the equation you get the desired result.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the data in the question,

In step 3 substitution of value is taking place.

In step 4 when values are substituted the final result is obtained, so step 4 is the result step.

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