When given a word problem, what should you always do to better visualize the problem?

Answer:

30

Step-by-step explanation:

Look at the image I attached for reference as I explain. (I only labeled the angles that are relevant to the problem)

These triangles are congruent, as shown by the first equation.

When triangles are congruent, it means that the sides and angles are the same.

We can see that angles ∠ABC and ∠DEC are corresponding, which means that they have the same value.

We don't know ∠DEC, but we have two angles in that triangle that we do know. Since the angles in a triangle add up to 180, we have this equation:

180-65-55=∠DEC

60 = ∠DEC

So now we know that ∠DEC is 60 degrees.

Since ∠ABC and ∠DEC are equal:

2x=60.

Divide both sides by 2, and we get x =30.

The values less than 4 or greater than 14 cannot be the length of the third side

From the question, we have the following parameters that can be used in our computation:

Side lengths of 9 and 5.

Represent the third length of the triangle with x

So, we have the following representation (using the triangle inequality theorem)

a + b ≥ c.

Substitute the known values in the above equation, so, we have the following representation

9 + 5 ≥ x

9 + x ≥ 5

5 + x ≥ 9

Evaluate the sum

14 ≥ x

x ≥ -4

x ≥ 4

So, we have

14 ≥ x

x ≥ 4

Combine

4 ≤ x ≤ 14

This means that values less than 4 or greater than 14 cannot be the length of the third side

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The measure that  cannot be the length of the third side is 14. Option

An important rule to remember about triangles is called the third side rule:

Third side rule of triangles states that;

The length of the third side of a triangle is less than the sum of the lengths of the other two sides and greater than the (positive) difference of the lengths of the other two sides.

For this triangle, the length of the third side must be greater than

9- 5= 4

Also, the length of the third side must be less than

9 + 5 = 14

Hence,  all the answers are possible except for answer D, which is equal to 14 but not less than 14.

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The Complete question is added as:

A triangle has side lengths of 9 and 5. Which of the following cannot be the length of the third side? *

a. 4

b. 5

c. 11

d. 14

Answer:

They have 69 cookies left.

Step-by-step explanation:

7 x 14 = 98

98 - 29 = 69

Answer:

x = 11

Step-by-step explanation:

180 - (82+50)

180 - 132

48

5x-7 = 48

5x = 55

x = 11

Answer:

a) 25 ft

Step-by-step explanation:

30 divided by 6 equals 5, so multiply 5 with 5 and this gets 25 ft as the height of the flagpole

Answer:

D;

(x + 1/2)^2 + (y- √57)^2 = 81

Step-by-step explanation:

Mathematically, the general equation of a circle is given as;

(x-a)^2 + (y-b)^2 = r^2

where (a,b) represents the circle center and r represents the radius of the circle

Thus, we have this as follows;

(a,b) = (-1/2, √57) , r = 9

Substituting these values;

(x + 1/2)^2 + (y- √57)^2 = 9^2

(x + 1/2)^2 + (y- √57)^2 = 81

Answer:

The ratio of boys to girls is 4:5. So let 4x be the number of boys and 5x be the number of girls. Then 4x+5x = 9x is the total number of students. Then the fraction of boys in the class is 4x/9x = 4/9.

Answer:

the answer is 2 I believe

Answer:

this =2.x3

Step-by-step explan

ation:

gramwergssa

Answer:

vertex = (5, - 1 )

Step-by-step explanation:

The focus and directrix are equidistant from the vertex

Since the equation of directrix is y = - 3 then the parabola is vertical,

The distance between the focus and directrix is

| 1 - (- 3) | = | 4 | = 2

Thus the vertex is 2 units below the focus

vertex = (5, 1 - 2 ) = (5, - 1 )

A parabola has focus (5, 1) then the vertex of the parabola will be (5, -1).

A location on the curve that is equally spaced from both a fixed location and a fixed line is referred to as a parabola. The parabola's focus requires and fixed line are referred to as its foci and directrix, respectively.

As per the given information in the question,

The focus and directrix are equidistant from the vertex then,

The parabola is vertical because the directrix's equation is y = - 3; hence, the focus and directrix are separated by:

|1 - (-3)| = |4| = 2

The vertex is therefore 2 units below the focus.

vertex = (5, 1 - 2) = (5, -1)

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Answer:

16%

Step-by-step explanation:

Answer:

16% you just have to guess till you get it right

85*0.16=13.60

Step-by-step explanation:

Answer:

Ms. Costco was offered the best price. It would be $15,900.57 after tax

Step-by-step explanation:

Ms. Costco: $18,795 x .90 =$16,915.50 x .94=$15,900.57

Ms. Deele: $17,050 x .94=$16,027

Answer:

5 meters per minute

Step-by-step explanation:

300/60 = 5 meters per minute

Answer:

4 in first number is in tenth place, so its 40

4 in second number is in unit place, its 4 only

Answer:

x = 3

Step-by-step explanation:

These are simultaneous linear equations hence, we add them because +y and -y will cancel eachother.

3x + y = 10

6x - y = 17

____________

9x        = 27

  x         = 27/9

  x         = 3

So, x- coordinate is 3

Answer: the answer should be x = 3

Step-by-step explanation:

Answer:

9

Keep the value of k as 9 then multiply it with the numbers in the brackets and then arrange the like terms and see yourself.

Answer:

Answer would be 12

Step-by-step explanation:

i'm not always accurate but your welcome!

Answer:

what are the answer choices?

i'll edit my answer if you give them to me and i know the answer

Step-by-step explanation:

Answer:

It has two numbers per turn. The first is 2 and stays the same the whole time. The second number starts as 5, but every time it hits that number, it increases by 1.

Step-by-step:

As we already know, two starts off the turn, so every number on this turn will increase by 2 (6+2=8.)

Now, for this one, we have five, so for this turn we'll increase it by that much (8+5=13).

However, this number won't stay at 5. Instead, it will increase by 1 every time we hit this turn. Let's continue one:

Turn Two = 13+2=15

Turn 5+1 = 6 = 15+6=21

Turn Two = 21+2=23

Turn 6+1 = 7 = 23+7=31

And from there, the pattern would/will continue!

Hope this helped! <3

Source(s) used: N/A

Answer:

Here we want to solve the equation:

[tex]11^3\sqrt{x-12} = 66[/tex]

First, we can divide both sides by 11^3 to get:

[tex](11^3\sqrt{x-12})/11^3 = 66/11^3[/tex]

[tex]\sqrt{x - 2} = 66/11^3[/tex]

Now remember that:

(√x)^2 = √(x^2) = x

then if we apply this to our equation we get:

[tex](\sqrt{x - 2})^2 = (66/11^3)^2[/tex]

now we need to solve:

[tex]x - 2 = (66/11^3)^2\\x = (66/11^3)^2 + 2 = 2.002[/tex]

Then x = 2.002

Answer:

50688

Step-by-step explanation:

thats all i got sorry if thats wrong but i hope this helps.

Answer: it looks like about 180 degrees

Step-by-step explanation:

sorry if wrong can you help me if right please

Answer:

The system of linear equations consist of parallel lines

Step-by-step explanation:

Here, we want to classify the system of linear equations

Firstly, let us write both in the standard forms

For the first;

y = 3x + 2

For the second;

y = 3x-1

The general form of a linear equation is;

y = mx + b

where m is the slope and b is the y-intercept

In both cases, m = 3 and that means the slope is the same

When two lines have same slope values, they are said to be parallel to each other

Answer:

umm 33 i think

Step-by-step explanation:

Answer:

B. Stratified random sample is the correct answer

The best sampling method that describes the scenario where students from each grade (6th, 7th, and 8th) are randomly chosen in a sample of 15 students from each grade is B) stratified random sample.

In a stratified random sample, the population is divided into distinct groups or strata based on certain characteristics, and then a random sample is taken from each stratum. In this case, the distinct groups are the different grade levels (6th, 7th, and 8th grades). By randomly selecting 15 students from each grade, we ensure representation from each grade level in the sample.

This method allows for a more accurate representation of each grade level within the sample and can provide valuable insights into the characteristics and experiences of students in each grade.

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Answer:

V = 48 cm³

Step-by-step explanation:

base = 4 x 4 = 16

V = 1/3(16)(9) = 48 cm³

Answer:

Median

Step-by-step explanation

The median is the value in the center of the data

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