In AABC, if AC = CB, MZA = 3x + 18, m_B = 7x - 58, and mC = 2x - 8, find x and the

measure of each angle.

MZA =

mZB =

mZC =

Answer:

8x

Step-by-step explanation:

Answer:

I think it is 8x

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

The sequence c0, c1, c2, ... defined as c0 = 2, c1 = 2, c2 = 6, and ck = 3ck - 3 for every integer k ≥ 3 can be proven to have cn as even for each integer n ≥ 0.

We can prove by induction that cn is even for each integer n ≥ 0.

Base case: For n = 0, c0 = 2, which is an even number.

Inductive step: Assume that cn is even for some integer n ≥ 0. We need to prove that cn+1 is also even.

Using the recursive formula, cn+1 = 3cn - 3. Since cn is even (as per our assumption), it can be written as cn = 2m for some integer m. Substituting this into the recursive formula, we have cn+1 = 3(2m) - 3 = 6m - 3 = 2(3m - 1).

Since 3m - 1 is an integer, we can let it be represented by another integer k. Therefore, cn+1 = 2k, which implies that cn+1 is also an even number.

By induction, we have proven that cn is even for each integer n ≥ 0.

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The total area will be;

⇒ 7.514 × 10⁷ km²

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The area of the Okhotsk Sea is 1.583 × 10⁶ km².

And, The area of the Indian Ocean is 7.3556 × 10⁷ km².

Now,

Since, The area of the Okhotsk Sea is 1.583 × 10⁶ km².

And, The area of the Indian Ocean is 7.3556 × 10⁷ km².

Hence, The total area = 1.583 × 10⁶ + 7.3556 × 10⁷

                                  = 1.583 × 10⁶ + 73.556 × 10⁶

                                  = 75.14 × 10⁶

                                  = 7.514 × 10⁷ km²

Thus, The total area will be;

⇒ 7.514 × 10⁷ km²

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qwerty

2.8% the answer is 2.8% and b is 2.8%

Answer:

In explanation below.

Step-by-step explanation:

Presumably, the proof you have in mind is to use a=b=2–√a=b=2 if 2–√2√22 is rational, and otherwise use a=2–√2√a=22 and b=2–√b=2. The non-constructivity here is that, unless you know some deeper number theory than just irrationality of 2–√2, you won't know which of the two cases in the proof actually occurs, so you won't be able to give aa explicitly, say by writing a decimal approximation.

The lengths of the sides of the triangle are 5, 12, and 13.

So the correct option is the last one.

Remember that if we have two points (x₁, y₁) and (x₂, y₂), the distance between these two points is given by the formula:

d = √( (x₁ - x₂)² + (y₁ - y₂)²)

Here we know that the vertices of our triangle are the points:

(0, 0), (5, 0), (5, 12)

And we want to find the lengths of the sides.

We can get the length of the first side using the points  (0, 0), (5, 0)

d₁ = √( (0 - 5)² + (0 - 0)²) = 5

The length of the second side is: (5, 0), (5, 12).

d₂ = √( (5 - 5)² + (0 - 12)²) = 12

The length of the third is side is given by the points (5, 12) and (0, 0)

d₃ = √( (5 - 0)² + (12 - 12)²)

d₃ = √(25 + 144) = 13

Then the correct option is the last one:

5, 12, 13.

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Answer:

let ratio 6:4:2 be 6x,4x and 2x

we have

6x+4x+2x=180 sum of interior angle of the triangle is 180

12x=180

x=180/12=15

Step-by-step explanation:

missing Angle are

6x=6×15=90°

4x=4×15=60°

2x=2×15=39°

Answer:1/6

Step-by-step explanation:

\(\huge\textsf{Hey there!}\)

\(\mathsf{\dfrac{4}{5}=\boxed{\bf 0.80\ or\ 80\%}}\\\\\\\mathsf{\dfrac{1}{6}=\boxed{\bf 0.166667\ or\ 16.6667\% }}\\\\\\\mathsf{\dfrac{2}{3}=\boxed{\bf 0.666667\ or \ 66.6667\%}}\\\\\\\mathsf{\dfrac{1}{5}=\boxed{\bf 0.20\ or \ 20\%}}\)

\(\large\textsf{After converting the fractions to decimals and percentages, we can}\\\large\textsf{now out them from descending (least) to ascending (greatest) order}\\\large\textsf{to determine your result to this question}\)

\(\boxed{\mathsf{\dfrac{1}{6}, \ \dfrac{1}{5}, \ \dfrac{2}{3}, \& \ \dfrac{4}{5}}}\)

\(\large\textsf{The SMALLEST one out of your set is: }\boxed{\mathsf{\bf \dfrac{1}{6}}}\large\checkmark\)

\(\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf \dfrac{1}{6}}}}\huge\checkmark\)

\(\large\textsf{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Note that the most appropriate measure of center in this case is the median, as it is less affected by extreme values. The value of the median is 6.4.

The median is the value that separates the upper and lower halves of a data sample, population, or probability distribution in statistics and probability theory. It is sometimes referred to as "the middle" value in a data collection.

The median is the value in the center of a set of data. First, arrange and sort the data in ascending order from smallest to largest.

Divide the number of observations by two to obtain the midway value. If there are an odd number of observations, round that number up to the next whole number, and the value in that location is the median.

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Answer:

Lara started with the number 15.

Step-by-step explanation:

In order to solve this problem, you can write an equation representing the situation. You can do this by applying the described actions to a variable; I'll use n for this:

(n ÷ 2 + 6) ÷ 3 = 4.5

Now, you can just solve this equation for n:

(n ÷ 2 + 6) ÷ 3 = 4.5 (given)

n ÷ 2 + 6 = 13.5 (multiply both sides by 3)

n ÷ 2 = 7.5 (subtract 6 from both sides)

n = 15 (multiply both sides by 2)

So, now you know that Lara's starting number was 15.

Answer:

The following equations are equivalent:

2 + x = 5

x + (negative 4) = 7

Negative 5 + x = negative 2

All of these three equations are equivalent because they all represent the same mathematical relationship between x and other numbers. The variable x is the same in each equation. We can see this by applying the same operation on both sides of the equations, and the variable x will cancel out and the two sides will be equal.

Answer:

Is a tangent

Step-by-step explanation:

~ By definition, a tangent to circle is a straight line, presently perpendicular to a radius if one. In this case tangent AB should be perpendicular to the radius. If we were to call the center O, we would say AB should be perpendicular to OA. ~

1. Now let us say at the moment that AB is a tangent. If that is so, it should be that m∠A = 90 degrees ( ° ), provided AB is ⊥ to OA by definition.

2. Now the triangle ABO is a right triangle, and with that is should be that Pythagorean Theorem is applied. This can help us prove if AB is a tangent or not. If Pythagorean Theorem is not applicable it would mean ABO is not a right angle triangle, that AB is not ⊥ to OA, and thus can't be a tangent.

3. Let us say x ⇒ side OA, and that side BO = 9 + 8 + 17:

AB^2 + OA^2  =  BO^2,

15^2 + x^2 = 17^2,

x = 8

4. Now there are two radii present, OA is only one of them. As radii are ≅, OA = other radii, 8 = 8

5. This proves that Pythagorean Theorem is applicable, that ABO is a right triangle, that m∠A = 90°, and that by definition AB is a tangent

* I have already answered this question before *

Answer:  (4x + 3) (x + 2)

Step-by-step explanation:

We can rewrite 4x² + 11x + 6 as 4x² + 8x + 3x + 6

Since 4x² + 11x + 6  = 4x² + 8x + 3x + 6

                                = (4x + 3) (x + 2)

The  factors of the given expression  \(4x^2 +11x+6\)  are  (x+8) and (x+3).

A collection of constants, variables connected using one or more arithmetic operator is called an expression.

An algebraic expression or a number that divides another number without leaving any remainder and the quotient is a whole number is called a factor.

The factors of the following expression can be calculated as:

\(4x^2 +11x+6\) = \(x^2+ 8x+ 3x+24\)

                     = x(x+8) +3(x+8)

                      = (x+8) (x+3)

Thus, the factors of the \(4x^2 +11x+6\) are (x+8) (x+3)

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Yes, all equilateral triangles also isosceles triangles. No, all isosceles triangles are not equilateral triangles. Any two sides that are equal have equal opposite angles since every equilateral triangle is likewise an isosceles triangle.

A triangle is a two-dimensional shape with three sides, three internal angles, and three vertices that is used in geometry.

Given,

All equilateral triangles can also isosceles triangles are all isosceles triangles also equilateral triangles,

Any two sides that are equal have equal opposite angles since every equilateral triangle is likewise an isosceles triangle. As a result, because an equilateral triangle has equal lengths on each of its three sides, its three angles are also equal. As a result, every equiangular triangle is an equilateral triangle.

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Answer:

33 dogs

Step-by-step explanation:

By taking the 22 cats and dividing it by the ratio. Then multiply that quotient by the ratio of dogs.

Thus:

22/2 = 11

11*3 = 33

There will be 33 dogs.

Hope This Helps :)

Answer: 33

Step-by-step explanation:

2cats = 3dogs

22cats = x

Cross multiply

2x = 3×22

2x = 66

x = 66/2

x = 33

Answer:

answerof question 11st:

|

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x | / y

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30°

We know that one angle is 30 degrees, so the other acute angle must be 60 degrees. Also, we know that one side has a length of √2.

Let's label the hypotenuse as z. Then we can use the trigonometric ratios to find the values of x and y.

sin(30°) = y / z

cos(30°) = x / z

We also know that:

z² = x² + y² (Pythagorean theorem)

Let's solve for z in the second equation:

z = x / cos(30°)

Substituting this into the first equation:

sin(30°) = y / (x / cos(30°))

Simplifying:

y = x tan(30°)

y = (1/√3) x

Now, substituting this value of y into the Pythagorean theorem:

z² = x² + (x/√3)²

Simplifying:

z² = x² + x²/3

z² = (4/3) x²

z = x / √(4/3)

z = x √3/2

So, we have:

x / cos(30°) = x √3/2

x = (√2 / 2) / (√3 / 2)

x = √2 / √3

x = (√6) / 3

And:

y = (1/√3) x

y = (√6) / (3√3)

So, the values of x and y in the right-angled triangle are:

x = (√6) / 3

y = (√6) / (3√3)

you can solve all these question like

Step-by-step explanation:

the values of x and y in the right-angled triangle are: x = (√6) / 3 and

y = (√6) / (3√3)

What is the triangle?

A triangle is a polygon with three sides, three vertices, and three angles. It is a simple closed shape that is commonly studied in geometry.

We know that one angle is 30 degrees, so the other acute angle must be 60 degrees. Also, we know that one side has a length of √2.

Let's label the hypotenuse as z. Then we can use the trigonometric ratios to find the values of x and y.

sin(30°) = y / z

cos(30°) = x / z

We also know that:

z² = x² + y² (Pythagorean theorem)

Let's solve for z in the second equation:

z = x / cos(30°)

Substituting this into the first equation:

sin(30°) = y / (x / cos(30°))

Simplifying:

y = x tan(30°)

y = (1/√3) x

Now, substituting this value of y into the Pythagorean theorem:

z² = x² + (x/√3)²

Simplifying:

z² = x² + x²/3

z² = (4/3) x²

z = x / √(4/3)

z = x √3/2

So, we have:

x / cos(30°) = x √3/2

x = (√2 / 2) / (√3 / 2)

x = √2 / √3

x = (√6) / 3

And:

y = (1/√3) x

y = (√6) / (3√3)

Therefore, the values of x and y in the right-angled triangle are:

x = (√6) / 3

y = (√6) / (3√3)

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It will take 3.6 hours or 3 hours and 36 minutes for Ana and her apprentice to build a wall together.

If constructing a brick wall is one unit of work, Ana may complete one sixth of it in an hour, while her apprentice can complete one ninth. They can do 1/6 + 1/9 of the task in an hour while working jointly. By determining the common denominator of 6 and 9, which is 18, we can determine how much work they can complete in an hour.

1/6 + 1/9

= 3/18 + 2/18

= 5/18

They can complete 5/18 of the task in an hour, according to this. We can build up a percentage to determine how long it would take them to do the assignment collectively.

5/18 = 1/x, the time it takes for them to complete the work together is x. Solving for x, we get,

x = 18/5

x = 3.6 hours

Therefore, it would take Ana and her apprentice 3.6 hours, or 3 hours and 36 minutes, to build the wall together.

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Answer:

4g - 1

Step-by-step explanation:

4 and -5 are numbers

While, -6g and 10g are variables.

Add numbers and variable separately.

4 + -6g + 10g + -5

= 4 - 5 + 10g - 6g

= - 1 + 4g

= 4g - 1

The area of the figure is 254.8 m²

Area is the region occupied by an object.

Since the figure is a rectangle and containing two semi-circles, we find the area of the figure by finding the area of the rectangle and the two semi-circles.

The area of the rectangle is given by A = LW where

Given that

A = LW

= 16 m × 12 m

= 192 m²

The area of a semi-circle with diameter d is A = πd²/4

Now for the first semi-circle, its diameter d' = 8 m.

So, its area A' =  πd'²/4

=  π(8 m)²/4

= π64 m²/4

= 16π m²

= 16 ×3.14 m²

= 50.24 m²

Also, for the fsecond semi-circle, its diameter d" = 4 m.

So, its area A' =  πd'²/4

=  π(4 m)²/4

= π16 m²/4

= 4π m²

= 4 × 3.14 m²

= 12.56 m²

So, the area of the figure is A₁ = A + A' + A"

= 192 m² + 50.24 m² + 12.56 m²

= 254.8 m²

So, the area of the figure is 254.8 m²

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Lines l and m are parallel; line l will map onto line m with a 90° rotation; line l can map onto line m with a vertical line of reflection.

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Answer:

The answer is G which is 16.

Step-by-step explanation:

To solve the problem multiply 25/125 times 80.

Answer:

Step-by-step explanation:

Horizontal shift of f(x) is f(x + a)

The shift is right if a < 0 and left if a > 0

The given function y = 3√x, will shift left if y = f(x + 2), which is:

Correct choice is B

You do 3.14 times radius squared

Aka 3.14 times 5.5 and then square that answer

Answer:

equal to rolling an odd number

Step-by-step explanation:

fair number cube is your average 6 side die

even numbers = 2,4,6

odd numbers = 1,3,5

total sides=6

even number probability = 3/6

odd number probability = 3/6

Answer:

This expresion is not factorable. If you have any questions, please ask me!

The probability that it came from the first company is  1/2.88⁹.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

Given, A plumbing contractor obtains 60% of her boiler circulators from Company 1 whose defect rate is 0.005 so 40% of her boiler circulators from Company 2 whose defect rate is 0.01.

Now, The probability of the defect rate of company 1 is P(D1) = 0.005/60.

And, The probability of the defect rate of company 1 is P(D1) = 0.01/40.

Therefore, The probability of that it came from the first company is,

= (0.005/60)×( 0.01/40)/60.

= (1/12000)×(1/4000)/50.

= 1/2.88⁹

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==========================================================

Explanation:

Add up all the frequencies that correspond to outcomes that are more than 3

So we'll add up the last three frequencies (since they correspond to outcomes of 4, 5 and 6 all of which are greater than 3) to get 20+30+38 = 88

We have 88 occurrences of rolling either a 4, a 5 or a 6. This is out of 200 rolls total.

The empirical (or experimental) probability of getting more than 3 on the die is 88/200 = 0.44