Find center and radius of this circle:
\((x-2)^2+(x+12)^2=81\)

Triangles are congruent when they have exactly the same three sides and exactly the same three angles.

From the image given in the question, we can infer that only a side and an angle is congruent to another side, and the angle

Hence, the condition for congruency (Having exactly 3 sides and 3 angles) is not satisfied

Answer:

2/10 or 1/5

Step-by-step explanation:

take 6 away from 8 and you get 2. That is your numerator. If you had 10 to begin with, that is your denominator so it will look like 2/1. IF SIMPLIFIED IT IS 1/5.

Answer:

2/10 or 1/5

Step-by-step explanation:

8/10-6/10=2/10

If fractions have the same number on the bottom, you can subtract or add the top numbers. The bottom number does not change during this process.

Answer:

C. 33

Step-by-step explanation:

Answer:

height = 5 cm

Step-by-step explanation:

a cube has congruent sides (s)

the volume (V) of a cube is calculated as

V = s³

given V = 125 , then

s³ = 125 ( take cube root of both sides )

\(\sqrt[3]{s^3}\) = \(\sqrt[3]{125}\) = \(\sqrt[3]{5^3}\)

s = 5

then height = 5 cm

Answer:$2360

Step-by-step explanation:

37000-20000=17000

20000x0.05=1000

17000x0.08=1360

1000+1360=2360

So on solving the provided question we can say that here, in triangle ABC and XYZ;  by SSS property they are similar.

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here,

AB = XY

AC = XZ

BC = ZY

by SSS property, they are similar.

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When x is 4, the output of the equation is greater.

The value for x that produces the same output in both the graph and the equation is equal to 6.

In Mathematics, a graph can be defined as a type of chart that is typically used for the graphical representation of data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate (x-axis) and y-coordinate (y-axis).

Generally speaking, the graph of any proportional relationship such as the linear equation (y = 4) is characterized by a straight line that crosses the y-coordinate as shown in the image attached below.

By critically observing the graphs of the equations, we can reasonably infer and logically deduce that they both would produce the same output (dependent value or y-value) at the ordered pair (4, 6).

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All given equations are false, by using subtraction we get a) 22 b) 868 c) 44 d) 702 e) -100.

The equation is a declaration of equivalence between two expressions with variable- and/or number-filled expressions. In essence, solutions are questions, and efforts to discover a method for answering them have fueled the growth of mathematics.

Equations come in two varieties: truths and conditional equations. All possible values of those variables result in an identity. Only certain combinations of the variables' values make a conditional equation true.

Two expressions joined by the equals symbol ("=") form an equation.

Option 1: 34-12= 22      ≠14  (false)

Option 2: 916−48= 868 ≠58 (false)

Option 3: 78-34= 44      ≠18  (false)

Option 4:715-13= 702    ≠615 (false)

Option 5:12-120=-100    ≠1020 (false)

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Answer:

f(6) = -22, and g(-3) = 49

Step-by-step explanation:

f(x) = -4x + 2

f(6) = -4(6) + 2

f(6) = -24 + 2

f(6) = -22

I assume the 3 in g(x) = -2x3 -5 is cubed

g(-3) = -2(-3)^3 - 5

g(-3) = -2(-27) - 5

g(-3) = 54 - 5

g(-3) = 49

18 + 9x = 49

with the use of an equation you can easily find out if 6 weeks of saving up is enough to get the rabbit.

18 + 9(6) \(\neq\) 49

9 x 6 = 54

54 + 18 = 72

you could have enough money in 4 weeks

1. The slopes of perpendicular lines are  a negative reciprocal

2. Parallel lines have the same slope.

3. The shortest distance from any point to a line is a straight line

The slope of two perpendicular lines is such that the slope of one line is equal to the reciprocal of the negative slope of the other.

if two lines of slope m and m' are perpendicular their slopes is written as

m = -1/m'

Parallel lines grow vertically and flow horizontally at the same rate. they have the same slope, they never cross.

if two lines of slope m and m' are perpendicular their slopes is written as

m = m'

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Answer:1 and 4

Step-by-step explanation:

If you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.

To calculate the Social Security tax, we need to know the tax rate for Social Security and the taxable wages. Let's assume the Social Security tax rate is 6.2% for both the employee and the employer.

Given that your taxable wages for Social Security purposes are $1,100, and your previous taxable wages are $102,000, we can determine the Social Security tax amount.

First, we need to calculate the Social Security tax on the previous taxable wages of $102,000. Multiply $102,000 by 6.2% (0.062) to find the Social Security tax for that amount:

Social Security tax = $102,000 x 0.062 = $6,324

Next, we calculate the Social Security tax on the current taxable wages of $1,100. Multiply $1,100 by 6.2% to find the tax amount:

Social Security tax = $1,100 x 0.062 = $68.20

Therefore, if you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.

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Answer:

18 tiles

Step-by-step explanation:

If she wants to find the greatest number of tiles for each row, she will want to use up all the tiles. This means we are looking for the highest common factor between the numbers 90 and 72, so all the tiles can be used up in the rows. In order to find the highest common factor we multiply together all the common prime factors between the two:

90 has the prime factors 2x3x3x5

72 has the prime factors 2x2x2x3x3

The prime factors that are common to both are 2, 3 and 3 which multiply together to get:

2x3x3 = 18

The greatest number of tiles Martha can use for each row is 18 and would result in 5 rows of red tiles and 4 rows of yellow tiles.

Hope this helped!

Answer:

Stratified Random Sampling

Explanation:

Take note, we are told they randomly selected from "50 potential voters from a list of registered voters in each county in a state." This course of action by the polling firm follows exactly the Stratified Random Sampling type.

The Stratified Random Sampling method involves a deliberate division of a research population into strata or smaller sub-groups.

So in this case, the state was divided into strata or smaller sub-groups, that is, according to each county.

Answer: C

she donates a for 12 months, the 12 in the a * 12=300. the a is the fixed amount, meaning she will donate a 12 times in a year.

Answer:

14

7/8of 160=140

140×10=1400

1400÷100=14

Answer:

5 years

Step-by-step explanation:

Divide 365 by 2000. The answer is 5.4794. Rounded to the nearest whole it is 5.

Answer:

5 years

Step-by-step explanation:

What we know:

- 2000 days passed (since each tick mark represents a day)

- One year has 365 days

Let \(x\) represent the number of years that passed.

If each year has 365 days, 365 multiplied by the number of years that passed should equal 2000.

\(365x=2000\)

Divide both sides by 365 to isolate x

\(\frac{365x}{365} =\frac{2000}{365}\)

\(x\) ≈ \(5\)

Therefore, Peggy is 5 years old.

I hope this helps!

Answer:

60

Step-by-step explanation:

so 4 of BC will make a AB, so AC =5 of BC =75

therefore BC=75/5=15

If BC=15 and AB=4*BC=4*15=60

Answer:

option 1 is correct. that is the answer

Answer:

I think its d. a13=23

Plz correct me If I am wrong  

Step-by-step explanation:

y + z + r + x = 360

2x + 3x + 4x + x = 360

10x = 360

x = 360/10

x = 36

Now

x = 36

y = 72

z = 108

r = 144

Answered by Gauthmath must click thanks and mark brainliest

Answer:

would be nine million four hundred fifty-two thousand seven hundred twenty-nine

Answer:

Step-by-step explanation:

Work from left to right:

nine million, four hundred and fifty-two thousand and seven hundred and twenty nine

It is recommended that you visit your courses on D2L frequently, ideally at least once a day, to stay up-to-date with any new announcements or assignments posted by your instructor. This will help you stay on track with your coursework and prevent you from falling behind. Additionally, regular visits to your courses can help you participate in discussions with your peers and ask questions if you are unsure about any of the material. It's important to remember that online learning requires a high level of self-discipline and responsibility, so making a habit of checking in on your courses regularly can contribute to your overall success in the class.

Answer:Multiply the denominator by the number in front of it and then add it to the numerator. (6•2=12+5=17). The denominator stays the same. Your answer is 17/6. Hope this helped! plzz atleast hit the like button ?

Answer:

17/6

Step-by-step explanation:

To find this, simply multiply the denominator (6) with the whole number (2) and then add it to the numerator (5) this gives you 5 + 12 which equals 17.

Therefore the solution is 17/6

Answer:

The ordered pair (15, 12) means that 15 pounds of beans cost $12.

Step-by-step explanation:

We know that the x-axis is the pounds of beans and the costs are the y-axis.

Answer: 6/10

Step-by-step explanation: Six parts are shaded and even though the shaded parts are not touching each other, they will still count as shaded. 4 parts are not shaded and there is a total of 10 parts so the answer would be 6/10.

Hoped This Helped!

Answer:

If it is asking for the fraction of shaded parts the answer is A

If it is asking for the fraction of non-shaded parts the answer is B

Step-by-step explanation:

I would most likely go with A, because I have very rarely gotten a question asking for the non-shaded parts.

The fish tank requires 7900 square cm of glass.

First, choose three fish for our tank. Let's choose a neon tetra, a guppy, and a corydoras catfish.

According to the guideline given, each fish requires 4,000 cubic centimeters of water for every inch of a fish's length. Determine the total length of the three fish to calculate the required water volume.

Assuming the neon tetra is 1 inch long, the guppy is 2 inches long, and the corydoras catfish is 3 inches long, the total length of the fish is 1+2+3=6 inches.

To accommodate these three fish, we need 6 inches x 4,000 cubic centimeters of water per inch = 24,000 cubic centimeters of water.

To design the fish tank. Make it a rectangular prism shape with the dimensions of 50 cm x 30 cm x 40 cm (length x width x height).

To calculate the amount of glass necessary to build the tank, to find the surface area of the glass required. There are five sides to the tank (four sides and the base), find the area of each and add them up.

The front and back sides each have an area of 50 cm x 40 cm = 2000 square cm.

The two side walls each have an area of 30 cm x 40 cm = 1200 square cm.

The base has an area of 50 cm x 30 cm = 1500 square cm.

So, the total surface area of glass required is:

2(2000 square cm) + 2(1200 square cm) + 1500 square cm = 7900 square cm.

Therefore, 7900 square cm of glass is needed to build our fish tank.

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Answer:

The inverse is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x) = (x+3)^5

Finding the inverse,

\(f(x) = (x+3)^5\\or,\\y = (x+3)^5\)

We replace x with y and vice versa

so,

\(x = (y+3)^5\)

Solving for y,

the the 5th root,

\(\sqrt[5]{x} = y + 3\\y = \sqrt[5]{x} - 3\)

hence the inverse function is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x)=(x+3)×5

Y=5X+15

now

interxchanging x and y we get,

x=5y+15

5y=x-15

y=x-15/5

therefor f~1(x)=x-15/5