The Sum of The Angles in a Triangle

To find the amount of the increase, calculate the difference in premiums per $1,000 between when Taylor Breen took out the policy at age 48 and when he will be 53 years old next year. The amount of the increase is $170.

To find the amount of the increase, we need to calculate the difference in premiums per $1,000 between when Taylor Breen took out the policy at age 48 and when he will be 53 years old next year.

First, let's calculate the initial premium per $1,000 at age 48:

$100,000 / $1,000 = 100  (number of units)

$100,000 * $4.70 = $470,000  (initial premium)

Next, let's calculate the premium per $1,000 when Taylor Breen will be 53 years old:

$100,000 / $1,000 = 100  (number of units)

$100,000 * $6.40 = $640,000  (premium at age 53)

The amount of the increase is:

$640,000 - $470,000 = $170,000

Therefore, the amount of the increase is $170.

Answer:

no

Step-by-step explanation:

you divide the first one then multiply and find out if it is

and it turns out not

put brainiest please

Answer:

Step-by-step explanation:multiply then round

Answer:

Exact Form:

149 /5

Decimal Form:

29.8

Mixed Number Form:

29 4 /5

Step-by-step explanation:

If this helped, please mark brainiest, thanks

Answer:

29 8/10

Step-by-step explanation:

because since the denominaters are the same you can just add the fractions.

5+3=8 and 20+9=29

Answer:

Step-by-step explanation:

Answer: i think is A they are parallel

Step-by-step explanation: is not  perpendicular NOT-B

The relationship between the lines represented by the equations 12y = 24x and 6x = 3y + 5 is that they are parallel lines. This conclusion is drawn from the fact that they have the same slope (2) but different y-intercepts (0 for the first line and -5/3 for the second line).

To determine the relationship between the lines represented by these equations, we must first put them in slope-intercept form (y = mx + b), where m represents the slope of the line, and b indicates the y-intercept.

For the first equation, 12y = 24x, we can divide both sides of the equation by 12 to get y = 2x.

For the second equation, 6x = 3y + 5, we re-arrange the equation by subtracting 5 from both sides and then dividing by 3. This gives us y = 2x - 5/3.

From the equations y = 2x and y = 2x - 5/3, we can see that the slopes of both lines are the same which is 2. This indicates that the lines are parallel to each other. However, since the y-intercepts are different (0 for the first line and -5/3 for the second line), we can conclude that they are different parallel lines, not the same line.

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Answer:

c

Step-by-step explanation:

I'm pretty sure it's asking for the circumference. The formula for finding the circumferene is C=πd (d=diameter) First, you need to fiind the diameter. Thequestion gives you the radius, 6.5, which is half the diameter. multiply that by 2 and you get 13. The question says to use 3.14 as π, so just multiply 3.14 by 13 and you get 40.82, which rounds to 41.

Answer: No her plates will not fit in the box

Step-by-step explanation: Each plate is 0.5 inches tall; therefore, the stack of 8 plates will have a height of .

Also, the diameter of the largest plate is 10 inches or has a radius of 5 inches, which matches the radius of the cylindrical box; therefore, we know that the stack of plates can fit into the base area of the cylindrical box.

What we want to figure out now is the height of the cylindrical box to see if it is greater than or equal to 4 inches—the height of the stack of plates.

The volume of a cylinder is , and since for our cylindrical box the volume is 150 cubic inches; therefore,

putting in  and solving for height  we get

,

which is not greater than 4 inches, which means the plates will not fit into the box since the height of the stack is greater than the height of the box.

Answer:

335.5 in^2

Step-by-step explanation:

The area is a rectangle and a triangle

The area of the rectangle is

A = a*b where a is 11 and b is 25

A = 11*25 =275

The area of the triangle is

A = 1/2 b*h  where b is 11 and h is 11

A = 1/2 (11) * 11

A = 60.5

The total area is 275+60.5=335.5

Answer: 12+6x

Step-by-step explanation:

add like terms

Answer:

12+6x

Step-by-step explanation:

5+2=7

2x+4x=6x

Plug the two expressions together and you will have 12+6x

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Answer:

The answer is option 2.

Step-by-step explanation:

It is given that the formula of the volume of rectangular prism is, V = length×width×height. Then you have to substitute the values into the formula to find the volume :

length = 3x

width = 7x

height = 15x

V = (3x) × (7x) × (15x)

= 315x³

Answer:

y=1/3x-6

Step-by-step explanation:

equation: y=mx+b

m=slope, b=y-intercept

equation: y=1/3x-6

Answer:

The first and second are correct

Step-by-step explanation:

∠X and ∠Y and ∠W and ∠Z are linear angles and supplementary angles, and ∠Y and ∠Z are complementary angles. Then the correct options are A, B, and E.

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.

∠X and ∠Y are linear angles and supplementary angles.

∠W and ∠Z are linear angles and supplementary angles.

∠Y and ∠Z are complementary angles.

More about the angled link is given below.

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Final answer:

To solve the system of equations, use the method of elimination. Multiply the second equation by 4 to make the coefficients of 'x' in both equations opposite. Add the two equations together to eliminate 'x' and solve for 'y'. Substitute the value of 'y' into one of the original equations and solve for 'x'. The solution to the system of equations is x = -5/2 and y = -1.

Explanation:

To solve the system of equations:

4x + 9y = -19

-4x - 7y = 13

We can use the method of elimination. Multiply the second equation by 4 to make the coefficients of 'x' in both equations opposite:

16x + 28y = -52

Now, add the two equations together to eliminate 'x':

37y = -39

Divide both sides by 37:

y = -1

Substitute the value of 'y' into one of the original equations:

4x + 9(-1) = -19

4x - 9 = -19

Add 9 to both sides:

4x = -10

Divide both sides by 4:

x = -10/4 = -5/2

Therefore, the solution to the system of equations is x = -5/2 and y = -1.

Answer:

A

Step-by-step explanation:

The required quotient is [tex]7^5[/tex].

To simplify [tex]7^{-4}/7^{-9}[/tex]

The quotient is the outcome value obtained when a particular value divided by a value.

Here,
Simplification,
[tex]=7^{-4}/7^{-9}\\=7^{-4}*7^{9}\\=7^{-4+9}\\=7^5[/tex]

Thus, the required quotient is [tex]7^5[/tex].

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Answer:

24

step-by-step explanation:

24

Answer:

it's 24

Step-by-step explanation:

Answer:

x^{2}+10x+7 is the simplified function

Step-by-step explanation:

I also graphed the function below, if you needed it!

If this answer is correct, please make me Brainliest!

Answer:

3/5

Step-by-step explanation:

16g

20r

14y

=50 marbles

16/50 = 3.5/10

20/50 = 4/10

14/50 = 3/10

= 16/50 + 14/50 = 30/50 = 3/5

Answer:

range: 20

Median: 38

Lower quartile and upper quartile: 29 and 42.5

Interquartile: 13.5

Which value 2was affected the most: Range

Step-by-step explanation:

Laney builds a tower with wooden cubes The bottom cubes edges are 8 cm long The middle cubes edges are 2 cm shorter than the bottom cube The top cubes edges are 2 cm shorter than the middle cube what is the total volume of the cubes in the tower

Answer:

125 students

Step-by-step explanation:

The following table is missing:

Number of Devices Number of Students

1                                 18

2                                 25

3 or more                 7

Total                                50  

From the sample, we can estimate that 25/50 = 0.5 or 50% of the students have exactly two Internet-compatible devices. Then there are 0.5*250 = 125 students who have exactly two Internet-compatible devices in Brianna’s school.

Given:

Students from Williams Middle School are also recycling aluminum cans. The data for the numbers of cans brought in each school day for a month were divided by quartiles and summarized in the box plot.

We need to determine the Median, Interquartile range and Range.

Median:

The median is the middle value of the given set of data.

From the box plot, it is obvious that the median line is at 18.

Thus, Median = 18

Hence, the value of the median is 18.

Interquartile range:

The interquartile range is can be determined by finding the difference between the ends of the box in the box plot.

From the box plot, we have;

Interquartile range = 20 -16

Interquartile range = 4

Hence, the value of the interquartile range is 4.

Range:

The range can be determined by subtracting the highest and the lowest value in the given set of data.

From the box plot, the range can be determined by subtracting the ends of the line.

Thus, we have;

Range = 28 - 10

Range = 18

Hence, the value of the range is 18.

Answer:

Median:  18

Interquartile range:  4

Range:  18

Step-by-step explanation:  

I just did this on edgen so this is the correct answer.

Answer:

18.5 ft (to the nearest tenth)

Step-by-step explanation:

The diameter of the circle passes through the center of the circle and divides the width of the circle into two equal parts.

We complete the circle and apply the Law of Intersecting Chords.

In the diagram, by this law:

AB X BC =DB X BE

7*x=14.5X14.5

x=14.5X14.5÷7

x=30.04

Therefore:

Length of the Diameter= 7+30.04 ft=37.04 ft

Radius =37.04/2= 18.5 ft

The radius of the circle should be 18.5 ft (to the nearest tenth).

Since there is the bridge is 7 ft tall and 29 ft wide.

Also,

here we apply the Law of Intersecting Chords.

So,

[tex]AB \times BC =DB \times BE\\\\7\times x=14.5\times 14.5\\\\x=14.5\times 14.5\div 7[/tex]

x=30.04

Now

Length of the Diameter= 7+30.04 ft=37.04 ft

So, Radius = 50% of 37.04 =  18.5 ft

Hence, The radius of the circle should be 18.5 ft (to the nearest tenth).

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Answer:

I think that the answer is A.

Step-by-step explanation:

Answer: -1 is not in the domain and 0 and 2 are in the domain

Step-by-step explanation:

The domain of the function g(x) = “8x” is all real numbers, as there are no restrictions on the values that x can take.

The question seeks to find the domain of a function represented as g(x) = “8x. A function's domain refers to all the possible values that can be input into the function. In the case of g(x) = “8x, this is a linear function where x can take any real number value since there are no restrictions like square roots or denominators that could potentially exclude certain x values. Therefore, the domain of g is all real numbers, often represented as (-∞, +∞) or ℝ in set notation.

Given:

Radius = 5 ft

To find:

The volume of the sphere

Solution:

Volume of the sphere:

[tex]$V=\frac{4}{3}\pi r^3[/tex]

[tex]$V=\frac{4}{3}\times 3.142 \times 5^3[/tex]

[tex]$V=523.66[/tex]

[tex]$V=524[/tex]

The volume of the sphere is 524 ft³.

Answer:

D

10

Step-by-step explanation:

The requried Rocco can wear his shirts with jeans in 10 different ways. The correct answer is 10.

To determine the number of different ways Rocco can wear his shirts with jeans, we need to multiply the number of options for shirts by the number of options for jeans. In this case, Rocco has 5 different shirts and 2 different pairs of jeans.

Since he can wear any shirt with any pair of jeans, the total number of different combinations is obtained by multiplying the number of shirts (5) by the number of jeans (2):

5 shirts * 2 pairs of jeans = 10 different ways

Therefore, Rocco can wear his shirts with jeans in 10 different ways. The correct answer is 10.

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Answer:

B. The two dimensions are the same in the triangles as they were in the rectangle.

Step-by-step explanation:

Given

Initial Shape: Rectangle (Before cut)

Final Shape: Triangles (After cut)

Note that this can be explained properly with the use of attachments

See attachment 1 for Before Cut

Before Cut represent the full rectangle before Jackie cut the piece of paper.

Let H and B represent the height and base of the triangle

Given that the rectangle is cut diagonally, this means that the cutting starts and ends at the opposite edges of the rectangle

See attachment 2 for After Cut

After Cut represent the two triangles after cutting the rectangle

From the attachment, you'll observe that the dimension of the two triangles (Triangle 1 and Triangle 2) are the same as it is with the rectangle;

In other words, the two triangle have their heights as H and their bases as B.

Hence, it can concluded that the two dimensions are the same in the triangles as they were in the rectangle.

Answer:

c is the correct answer

Step-by-step explanation: