measure the amgle of ced

We need to find the price of 1 bottle. From the graph, 2 bottles cost $1. If x represents the cost of 1 bottle, the next proportion must be satisfied:

Solving for x:

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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Answer:

radius = 8.5 in

Step-by-step explanation:

the diagonal of the tablecloth will be the diameter of the table.

diagonal² = 15² + 8² = 225 + 64 + 289

diagonal = √289 = 17 in

radius = 17/2 = 8.5 in

The diameter of the table is 17 inches (0.43 m). Then the radius of the circular table will be 8.5 inches (0.22 m).

The radius of a circle is the distance between the center and the circumference.

It is a polygon with four sides. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees.

A 15-inch by 8-inch tablecloth is placed on a circular table.

Each of the four corners of the tablecloth touch the edge of the table.

That is shown in the diagram.

The diameter d is measured by the Pythagoras theorem.

d² = 15² + 8²

d² = 225 + 64

d² = 289

d² = 17²

 d = 17 inches

The diameter of the circle is 17 inches.

The radius is the half of the diameter. Then the radius will be

r = d / 2

r = 17 / 2

r = 8.5 inches

Thus, the radius of the circular table will be 8.5 inches.

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Answer:

The simple interest is Prt

The simple interest on the money will be $24300

Step-by-step explanation:

The complete question is shown below

The principal P is borrowed at simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year. P=$18,000, r=7.5%, t=18 months

Principal = P

Interest rate = r

Time period = t

simple interest owed for the use of the money will be gotten as below

The percentage of the principal that will be owed per unit period is the rate r

The total rate that it will be involved in this time period will be the product of the rate and the time = r x t = rt

Finally, to know the amount of interest that this rate will result to, we multiply the total rate in the time period by the original principal borrowed

Total interest = Prt

For a simple interest on the principal P = $18,000,

the interest rate = 7.5% = 7.5/100 = 0.075,

time period = 18 months

we assume the interested is calculated on a monthly basis

Simple interest = Prt

==> 18000 x 0.075 x 18 = $24300

The ordered pairs are (1,0), (2,6/5),(3,12/5)

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: The equation as y = 6x/5 - 6/5

putting (1,0) in the equation we get 6×1/5-6/5=0

Similarly we can find the ordered pair as y = 6/5x - 6/5

Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)

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Answer: The two numerical expressions that correctly represent the phrase "twice the sum of nine and four" are:

2 * (9 + 4) = 2 * 13 = 26

2(9 + 4) = 2(13) = 26

Both expressions use the correct mathematical operations to represent the phrase "twice the sum of nine and four" and both will yield the same result of 26.

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Because right angles are 90 degrees, we need to subtract 34 from 90 which gets us 56. That means 56 = 4x, so 56/4 = 14, therefore X = 14.

Hope this helps!

Both angles form a right angle which is 90 degrees.

Angle 2 would equal 90 degrees - angle 1

Angle 2 = 90 -34 = 56

So now we know 4x = 56

To find x divide both sides by 4

X = 14

Answer:

the family uses 300 gallons of water every day.

Step-by-step explanation:

We can use a proportion to solve the problem:

drinking water used / total water used = drinking water percentage / 100

Let x be the total water used every day in gallons. Substituting the given values, we get:

69.3 / x = 23.1 / 100

To solve for x, we can cross-multiply and simplify:

69.3 * 100 = x * 23.1

6930 = 23.1x

x = 300

Therefore, the family uses 300 gallons of water every day.

Based on the information, we can infer that the salary a worker earns depends on the hourly wage they earn. In this case we will have to multiply the value of each hour by the number of hours worked. Additionally, I would agree to have a higher minimum wage to benefit workers.

Based on the information in the graph, we can infer that workers will have wages of $5.2, $6.0, and $6.6. According to the above, the salary varies depending on the number of hours.

On the other hand, I believe that you would agree to a salary increase because this would benefit workers who would be better paid for each hour of work.

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Answer:

whats the question? lol

Step-by-step explanation:

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=3\\ k=-10\\ \end{cases}\implies y=a(~~x-3~~)^2 + (-10)\hspace{4em}\textit{we also know that} \begin{cases} x=0\\ y=8 \end{cases} \\\\\\ 8=a(~~0-3~~)^2 + (-10)\implies 8=9a-10\implies 18=9a\implies \cfrac{18}{9}=a \\\\\\ 2=a\hspace{7em}y=2(~~x-3~~)^2 + (-10)\implies \boxed{y=2(x-3)^2-10}\)

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

It's -46, because if you add -6 and -46 you get -52

Both g(x) = 5 - x² and h(x) = \(5 - e^(6-^x^)\)have the same range as f(x) = -2√(x) - 3 + 8, which is (-∞, 5].

To determine which function has the same range as f(x) = -2√(x) - 3 + 8, we need to first find the range of f(x).

The square root function √(x) takes non-negative values as input and gives non-negative outputs, so the expression -2√(x) will always be non-positive. Therefore, the range of f(x) will be all real numbers less than or equal to -3 + 8, which is 5.

In other words, the range of f(x) is (-∞, 5].

So, we need to find a function whose range is also (-∞, 5]. One possible function is g(x) = 5 - x². We can see that when x is zero, g(x) is at its maximum value of 5, and as we increase or decrease x, g(x) will decrease, eventually approaching negative infinity.

Another possible function is h(x) = 5 - e^(-x). When x is negative infinity, e^(-x) is approaching positive infinity, so h(x) is approaching 0. As we increase x, e^(-x) is approaching zero, so h(x) is approaching 5.

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Answer:

19.Option A is correct

20.Option A is correct

21. Option C is correct

22. Option A is correct

Hope this helps!

Answer:

34

Step-by-step explanation:

(40×85)/100

3400/100

34

is right answer

Answer:

i odnt know im sorry

Step-by-step explanation:

Answer:

a number p, 14 - p

Step-by-step explanation:

Answer:

-4-2/-1-1=-6/-2= 3

So the answer is 3

Answer:

= − 11

Step-by-step explanation:

Answer:

To calculate the book value of the building, we need to calculate the annual depreciation amount and multiply it by the number of years elapsed since the building was completed.

The annual depreciation amount is calculated as: $1 million / 50 years = $20,000

In 2014, the book value of the building was: $1 million - ($20,000 * (2014 - 2010)) = $1 million - ($20,000 * 4) = $960,000

In 2022, the book value of the building will be: $1 million - ($20,000 * (2022 - 2010)) = $1 million - ($20,000 * 12) = $680,000

Answer:

rational number

Step-by-step explanation:

A whole number does not have a decimal part so it cannot be a whole number

Integers are whole numbers that are positive and negative plus zero

-.23 can be written as the ratio of integers

-23/ 100 so it is a rational number

Answer:

Rational

Step-by-step explanation:

A whole number does not have a decimal part so it cannot be a whole number

Integers are whole numbers that are positive and negative plus zero

-.23 can be written as the ratio of integers

-23/ 100 so it is a rational number

Answer:

umm it's different to see like what i have to do

here you can write exponential as (a^2 or a^3 )

Answer:

a

Step-by-step explanation:

The value of the inequality expression 2x ≤ 5 is (oo, 2.5]

How to evaluate the inequality expression?

The inequality expression is given as

2x ≤ 5

The above inequality expression is an inequality with only one variable

So, it means that we can solve it by dividing both sides of the inequality by 2

Solving further, we have

Divide both sides of the inequality by 2

2x/2 ≤ 5/2

Evaluate the quotient

x ≤ 5/2

Evaluate the other quotient

x ≤ 2.5

Express as interval notation

(oo, 2.5]

Hence, the solution is (oo, 2.5]

See attachment for the graph

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Answer:

√23 = a

Step-by-step explanation:

/ab/²= /ac/²+/bc/² (Pythagoras theorem)

12² = a² +11²

144 = a² + 121

144 - 121 = a²

23 = a²

√23 = a

The polynomials completely factorized have the following expressions;

50). x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)

51). x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)

52). x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)

53). x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)

For the polynomial x³ - 3x² - 26x - 12 divisible by x - 6;

(x³ - 3x² - 26x - 12)/(x - 6) = x² + 3x + 2

x² + 3x + 2 = (x + 1)(x + 2)

so;

x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)

For the polynomial x³ - 12x² + 12x + 80 divisible by x - 10;

(x³ - 12x² + 12x + 80)/(x - 10) = x² - 2x - 8

x² - 2x - 8 = (x + 2)(x - 4)

so;

x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)

For the polynomial x³ - 18x² + 95x + 126 divisible by x - 9;

(x³ - 12x² + 12x + 80)/(x - 9) = x² - 9x + 14

x² - 9x + 14 = (x - 2)(x - 7)

so;

x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)

For the polynomial x³ - x² + 21x + 45 divisible by x + 5;

(x³ - x² + 21x + 45)/(x + 5) = x² - 6x + 9

x² - 6x + 9 = (x - 3)(x - 3)

so;

x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)

Therefore, by complete factorization the expressions (x - 6)(x + 1)(x + 2), (x - 10)(x + 2)(x - 4), (x - 9)(x - 2)(x - 7), and (x + 5)(x - 3)(x - 3) are the factors of their respective polynomial.

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Answer:

→ 12th term of the given AP is -39.

Step-by-step explanation:

Given AP is 16,11,6,1

First term = 16

Common difference =11-16 = -5

We know that

nth term of an AP = an = a+(n-1)d

Now,

12 th term = a12

⇛a12 = a+(12-1)d

⇛a12 = a+11d

⇛a12 = 16+11(-5)

⇛a12 = 16+(-55)

⇛a12 = 16-55

⇛a12 = -39

12th term of the given AP = -39

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Answer:

g(h(8)) = 38

Step-by-step explanation:

Hello!

Work from inside to out. First find h(8):

Now, plug in -14 for g(x). Remember, we are working inside to out.

So, g(h(8)) is 38.

Answer:

\(xy\left(7.2x-0.9y\right)\)

Step-by-step explanation:

\(Rule: a^{b+c}=a^ba^c\\(x^2y=xxy,\:xy^2=xyy)\\=7.2x(xy)-0.9xyy\\=xy\left(7.2x-0.9y\right)\)