What is the measure of angle CED?

There are two triangles labeled ABC and DCE with a common vertex C. In triangle ABC, angle BAC is labeled as y, and angle ABC is labeled as 65 degrees. In triangle DCE, angle CDE is labeled as 65 degrees

y over 2, because Triangle ABC is congruent to triangle DCE
y, because Triangle ABC is similar to triangle EDC
y + 65 degrees, because Triangle ABC is similar to triangle DCE
115 degrees − y, because Triangle ABC is congruent to triangle DCE

Answer:

60

Step-by-step explanation:

4(5+4+6)

4(15)

60

Answer:

The triangle will translate along the arrow and reach the head of the arrow.

Step-by-step explanation:

Translation is a category of motion in which one body moves along towards a particular direction and reaches a particular point.

In translation, the rotational motion is not present. Also, the translational motion is a one dimensional motion.

In the given figure, the triangle is present at the tail of the arrow.

The arrow depicts the direction of the translational motion.

So, the triangle will reach the end of the arrow as shown in the picture present in the attachment.

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Answer:

336 sponsers

Step-by-step explanation:

3＋(3×3)

=3+9

=12

for the 4th week：

12×7=84

84×4=336

The correct option is k(x) = 5x - (5-x)

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, the given functions are;

g(x) = 5x                  h(x) = 5 - x

Now,

        k(x) = (g - h)(x)

        k(x) = g(x) - h(x)

        k(x) = 5x - (5 - x)

Thus, the correct option is k(x) = 5x - (5-x).

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Answer:

A) 48

B) -30

Step-by-step explanation:

Hello!

To compute f(-1) and f(5), we simply replace x with -1 and -5.

The answer to A is 48

We have the values for f(-1) and f(5), so we just switch the operation

The answer to B is -30

Answer:

x = 22

Step-by-step explanation:

2x+10+79 = 6x+1

89-1 = 6x-2x

88 = 4x

22 = x

The measure of the unknown value {x} in the given figure is 22.

An angle is formed when two rays have the same end point. The common end point is called vertex.

Given is to find the measure of the unknown value {x}.

The external angle will be equal to the sum of two internal opposite angles. Mathematically, we can write -

6x + 1 = 2x + 10 + 79

6x - 2x = 88

4x = 88

x = 22

Therefore, the measure of the unknown value {x} in the given figure is 22.

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Answer:

The second and third equations are correct.  

Step-by-step explanation:

Note that the equations are all the same, with the exception of the math operation (=,>,<,[tex]\leq[/tex], etc.).  Let's do one calculation and then decide which of the statements is true.

The components may be simplified by separating the numbers from the exponents and doing the calculations separately:

(2.06x10^-2)(1.88x10^-1)  becomes (2.06*1.88)*(10^-2 * 10^-1)

Left Side:

(2.06*1.88) = 3.91

(10^-2 * 10^-1) = 10^-3  [The exponents add when multiplying]

(2.06x10^-2)(1.88x10^-1) = 3.91x10^-3

Right side:

(7.69/2.3) = 3.343

(10^-2)/(10^-5) = 10^3  [The bottom exponent is subtracted from the top. ( -2 - (-5)) = 3   ]

(7.69x10^-2)/(2.3x10^-5) = 3.343x10^3

For all equations:

LEFT                    RIGHT

3.91x10^-3       3.343x10^3

We can now answer the question.  Is the left side (3.91x10^-3 )      

A.  <

B.  =>

C.  >, or

D.  =

to the right side (3.343x10^3)

We can drop the 10^-3 to make the comparison simpler, since it is the same on both sides.  Think of it as dividing both sides by 10^3.

                                             Correct?

A.    3.91   <   3.34                NO

B.     3.91 =>  3.34                YES  

C.    3.91  >    3.34, or          YES

D.    3.91  =    3.34                NO

The correct answer is option C which is Gas station A is selling gasoline at a lower rate its price is $3.05 per gallon.

Expression in maths is defined as the collection of numbers, variables, and functions using signs like addition, subtraction, multiplication and division.

Here we have two pieces of information

Gas station A:-

3 gallons for $9.15

1 gallons for  $9.15 / 3 = $ 3.05

Gas station B:-

P = 3.08g

It means that station B is selling the gasoline at a higher price.

Therefore the correct answer is option C which is Gas station A is selling gasoline at a lower rate its price is $3.05 per gallon.

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Answer:

50°

Step-by-step explanation:

because there opposite to each other.

Reason:

The line is going uphill as it moves to the right.

Answer:

profit=Rs60

Step-by-step explanation:

I hope it helps.

1 zero pair of 25 was added to bring given function into vertex form.

A zero Pair is the set of two numbers which when added together gives 0.

The function given is

f(x) = x² -10x -4

To convert it into the vertex form

y = a(x-h)²  +k

f(x) = x² -10x +25 -25 -4

f(x) = x² -10x +5² -25-4

f(x) = (x-5)² -29

Therefore this is the given function's vertex form and

1 zero pair of 25 was added to bring it into that.

Therefore Option D is the answer.

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The measure of angle 2 is 73.

An angle is a combination of two rays (half-lines) with a common endpoint.

Given:

As, angle 1 and 2 are supplementary

<1 + <2 + (6x +5) =180

And, by corresponding angle, <1= 48

So, 48 + <2 + (6x +5)= 180

          <2 + (6x +5) = 132

Also x= 9

then, <2 = 132 - 59

        <2= 73.

Hence, measure of <2 is 9.

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Answer:

x=46

Step-by-step explanation:

4(x+1)-3x=50

first you gotta take care of the () so multiple by 4

(4x+4) -3x=50

combine like terms, subtract 4-3 to get 1 so you have 1x left

4 + x = 50

and then solve for x

x=46

( i checked it to make sure it was right so dw)

Answer:

A

Step-by-step explanation:

Since x has a negative coefficient, the graph opens downwards meaning that it has a maximum.

The vertex formula is y = a(x - h)^2 + k so the coordinate must be (-6, 6).

Answer:

15

Step-by-step explanation:

3x/4+1=19/4+1x/2

3x/4-x/2=19/4-1

x/4=15/4

collect like terms

x=15

The Venn diagram is given below. Then the number of students who have brother and sister will be 6.

A set is a group of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

In a class of 20 students:

11 have a brother, 9 have a sister, and 6 have neither.

Then the Venn diagram will be

11 – a + a + 9 – a = 20 – 6

               20 – a = 14

                        a = 6

The Venn diagram is given below.

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In the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

In the first diagram:

The sum of the 5k + 20 and 7k + 40 is 180

5k + 20 + 7k + 40 = 180

12k + 60 = 180

12k = 180 -60

12k = 120

k = 10

In the second diagram:

The sum of the two interior angles is equal to the exterior angle.

40 + 12k + 10 = 8k + 80

4k = 30

k = 30/4 = 15/2

Thus, in the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.

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Step-by-step explanation:

just breathe and read it carefully. no need for panic. all you need is common sense, nothing fancy.

the tools and definitions to use are given in the description. we only need to use them.

the height of the point of view is 44 + 6 = 50 ft (because the eyes are again 6 ft above the top of the hill, and we are dealing with what the eyes can see).

so, the seeable distance D in miles is then

D = sqrt(2×50) = sqrt(100) = 10 miles

she will be able to see approximately 10 miles to the horizon.

Answer:

35

Step-by-step explanation:

R × S = 15 could be 5 × 3 = 15, 3 × 5 = 15

                               15 × 1 = 15, 1 × 15 = 15

S ×T =3 From our previous step we can see that S could be 1 or 3 or 5 or 15.

            Given that S×T =3, will make sense that S is 1 or 3

            If S is 1 then T is 3 and if S is 3 then T is 1, so multiplied will give 3.

T×V=7 From previous step we see that T could be 1 or 3.

           Since T×V = 7 it will make sense that T is 1, and therefore V is 7.

T ×V = 7,  S ×T =3, R × S = 15, R × V = ??

1 × 7 = 7,  S ×1 = 3, R × 3 = 15, 5 × 7 = ??

               3 ×1 = 3,  5 × 3 = 15, 5 × 7 = 35

Answer: Read attachment.

Step-by-step explanation: Attached below is my work. Hope it helps!

Answer:

5/23

Step-by-step explanation:

▪︎ There are 23 customers in total.

▪︎ Only 5 of them ordered a starter but not a dessert.

▪︎ => 5/23

The probability that a customer picked at random ordered a starter but did not order a dessert = 5/23

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Total Customers= 23

and, Customer like starter=5

Customer like Dessert =8

Customer like both =7

So,  probability that a customer picked at random ordered a starter but did not order a dessert = 5/23

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The number of people in the sample survey is 75.

Survey sampling, as used in statistics, is the process of choosing a sample of constituents from a target population to perform a survey. The word "survey" can be used to describe a wide range of observational methods or procedures. Most frequently, a questionnaire meant to assess people's traits and/or opinions is employed in survey sampling. The topic of survey data collecting involves various methods of contacting sample participants after they have been chosen. Sampling is done to cut down on the expense and/or labor required to survey the complete target population. A census is a survey that includes all members of the target population. A sample is a subset or segment of a population from which data will be drawn.

The sample survey has

5 people in 1-4 miles per week

10 people in 5-8 miles per week

15 people in 9-12 miles per week

20 people in 13-15 miles per week

25 people in 16-19 miles per week

The number of people in the sample survey is

5 + 10 + 15 + 20 + 25

=5(1 + 2 + 3 + 4 + 5)

=5(15)

=75

Hence, the number of people in the sample survey is 75.

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Answer:

[tex]x = 5y {}^{2} + 10[/tex]

The inverse of the function is x = 5y² + 10.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

To find the inverse of a function, we need to solve for x in terms of y.

To do this, we can start by replacing y with x and solving for x.

y = 5x² + 10

x = 5y² + 10

Now we have solved for x in terms of y, which gives us the inverse of the original function.

So the equation that can be simplified to find the inverse of y = 5x² + 10 is:

x = 5y² + 10

Thus,

The inverse of the function is x = 5y² + 10.

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The side of the square is x^5 .

Area of a square = (side)² = a²,

Given;

area of a square = [tex]x^{10}[/tex]

Equating it with the general formula of square

Area of a square = a²,

          a² =  [tex]x^{10}[/tex]

Taking square root on both sides,

[tex]a = \sqrt{x^{10}} \\\\a = x^5[/tex]

Hence, the side of the square is x^5.

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The given reaction is considered as nuclear reaction instead of chemical reaction as the change is coming in the nucleus.

A nuclear reaction is one in which the number of protons or neutrons changes as a result of collisions between two nuclei or an atom and a subatomic particle.

In the given reaction also which is superscript 1 subscript 1 h plus superscript 1 subscript 0 n right arrow superscript 2 subscript 1 h.

A neutron is added to the nucleus of a hydrogen atom here. As a result, it is a nuclear reaction.

A chemical reaction involves the acquisition or loss of electrons, which leads in the synthesis of a new molecule while leaving the nucleus of an atom unchanged.

Thus, we can give a conclusion that because a change in a nucleus happened, the described event is categorised as a nuclear reaction rather than a chemical reaction.

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The correct option is B. The Wolverines' distribution is negatively skewed, but the Panthers' distribution is symmetric.

Data is symmetric if the median is in the mid of the box plot and the box is mid to the line connecting both whiskers.

The box plot showing scores for the Panthers basketball team has the median shown by a vertical line dividing the box into 2 equal halves.

Also, both whiskers on either side are relatively equal which shows that the data set for bulldogs is symmetric.

On the other side, the box plot for wolverine shows the median closer to the upper quartile.

That shows that the data set for team Wolverines' distribution is negatively skewed.

The correct option is B. The Wolverines' distribution is negatively skewed, but the Panthers' distribution is symmetric.

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