the smallest angle of an isosceles triangle measures 36 degrees. the other two angles are larger, what is the measure of each of the other two angles?

The equation of line passes through the point (2, 3) will be;

⇒ y = 1/2x + 2

And, Graph of this equation of line is shown in figure.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (2, 3).

And, The perpendicular line is,

⇒ y - 4 = - 2 (x + 3)

⇒ y -  4 = - 2x - 6

⇒ y = - 2x - 2

Now,

Since, The equation of line passes through the point (2, 3).

So, We need to find the slope of the line.

Since, The product of slope of the perpendicular line is - 1.

Hence, Slope of the given perpendicular line is,

⇒ y = - 2x - 2

m = dy/dx = - 2

m = - 2

So, The slope of line is,

⇒ m₂ = - 1/m

         = 1/2

Thus, The equation of line with slope 1/2 is,

⇒ y - 3 = 1/2 (x - 2)

⇒ y - 3 = 1/2 (x - 2)

⇒ y - 3 = 1/2x - 1

⇒ y = 1/2x - 1 + 3

⇒ y = 1/2x + 2

Therefore, The equation of line passes through the point (2, 3) will be;

⇒ y = 1/2x + 2

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ1

Your answer will be 35

Answer:

C) 3(13) - 3(5)

Step-by-step explanation:

Using the distributive property of multiplication, you will distribute the outer term (3 in this case) with all terms within the parentheses (13 and 5 respectively:

Solve:

3(13 - 5)

Multiply 3 with 13, and 3 with -5:

\(3(13 - 5)\\(3 * 13) + (3 * -5)\\(3 * 13) - (3 * 5)\)

C) 3(13) - 3(5) is your answer.

~

Learn more about distributive property, here:

https://brainly.com/question/875437

Answer:

1. First, find the mean of the data set.

2. Find the average of the numbers by adding them and dividing them by the number of values

3. Subtract the mean from each value in the table.

Step-by-step explanation:

Your answer is correct! Hope this helps!

Answer:

the answer is A

Step-by-step explanation:

you start with your product and x which is equal to 3x ...4 less than the product is after the 3x and set it equal to 23.

The partial sum \(S_{10}\) of the arithmetic series 45x + 90

The correct answer is an option (C)

Here the arithmetic series is 0 + (x + 2) + (2x + 4) + (3x + 6) +. . .

the first term is: a₁ = 0

The common difference between the consecutive terms is:

d = (x + 2) - 0

d = x + 2

We know that the formula for the n-th term of the arithmetic sequence is:

a_n = a₁ + (n - 1)d

We need to find the 10th term of above arthmetic series.

Using above formula:

a₁₀ = 0 + (10 - 1) (x + 2)

a₁₀ = 9(x + 2)

a₁₀ = 9x + 18

We know that the formula for the sum of first n terms of the arithmetic sequence is:

\(S_n=\frac{n}{2} (a_1+a_n)\)

So, the sum of first 10 terms of arithemtic series would be:

S_10 = (10/2)(0 + 9x + 18)

S_10 = 5 (9x + 18)

S_10 = 45x + 90

Therefore S10 = 45x + 90

The correct answer is an option (C)

Learn more about the arithmetic series here:

https://brainly.com/question/16415816

#SPJ4

Answer:

Yes it would be.

Greetings from Brasil...

We have a true sentence because:

4 + 5 = 2 + 7

and really nine is equal to nine

The formula for the machine value V (in thousands of dollars) at time t ≥ 0 after purchase is given as follows: V (t) = Ct - rt, where C is the initial cost of the machine in thousands of dollars, r is the depreciation rate per year, and t is the time in years since the machine was purchased. V(t) = 710 - 13.7925t Answer: V(t) = 710 - 13.7925t

The value of an industrial milling machine after two years of purchase is $710,000 and after five years, the value is $180,000. Let us find the depreciation rate of the machine.

Linear Depreciation Method: Linear depreciation method is one of the methods used to calculate depreciation in accounting. It is also called straight-line depreciation. Under this method, the depreciation expense of an asset is the same for each year of its useful life.

The formula to calculate the depreciation expense using the straight-line depreciation method is:Depreciation Expense = (Cost of Asset - Salvage Value)/Useful Life Let,

The cost of the industrial milling machine = C = 710The value of the industrial milling machine after five years = S = 180The useful life of the machine in years = LWe have to find a formula for the machine value V (in thousands of dollars) at time t ≥ 0 after purchase.

To find the useful life of the machine, use the following formula:Cost of Asset = Depreciation Expense x Useful Life + Salvage Value710 = (710 - 180)/L * L + 180

Simplifying the above equation, we get:710 = 530/L + 180Multiplying both sides of the equation by L and then subtracting 180 from both sides, we get:530L = 530L = 530 - 180L = 350/53.

Therefore, useful life, L = 350/53 yearsThe depreciation rate of the industrial milling machine is the difference between its cost and salvage value divided by its useful life.

Using the given information, the cost of the machine and the value of the machine after five years, we get: Depreciation Rate = (Cost of Machine - Salvage Value) / Useful LifeDepreciation Rate = (710 - 180) / (350/53)Depreciation Rate = 13.7925

Hence, the formula for the machine value V (in thousands of dollars) at time t ≥ 0 after purchase is given as follows:V (t) = Ct - rt, where C is the initial cost of the machine in thousands of dollars, r is the depreciation rate per year, and t is the time in years since the machine was purchased. V(t) = 710 - 13.7925t Answer: V(t) = 710 - 13.7925t

Learn more on depreciation here:

brainly.com/question/30531944

#SPJ11

The ordered pair which makes both inequalities true is: D. (3, 0).

Here, we have,

In Mathematics, an inequality can be used to show the relationship between two (2) or more integers and variables in an equation.

In order to determine ordered pair which makes both inequalities true, we would substitute the points into the inequalities as follows:

At (0, 0), we have:

y > -2x + 3  

0 > -2(0) + 3

0 > 3 (false).

y < x – 2

0 < 0 - 2

0 < -2 (false)

At (0, -1), we have:

y > -2x + 3  

-1 > -2(0) + 3

-1 > 3 (false).

y < x – 2

-1 < 0 - 2

-1 < -2 (false)

At (1, 1), we have:

y > -2x + 3  

1 > -2(1) + 3

1 > -1 (true).

y < x – 2

1 < 1 - 2

1 < -1 (false)

At (3, 0), we have:

y > -2x + 3  

0 > -2(3) + 3

0 > -3 (true).

y < x – 2

0 < 3 - 2

0 < 1 (true).

Read more on inequalities here:

brainly.com/question/24372553

#SPJ1

complete question:

Which ordered pair makes both inequalities true?

y > –2x + 3

y < x – 2

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) and (2, 0). Everything to the right of the line is shaded. The second dashed line has a negative slope and goes through (0, 3) and (1, 1). Everything to the right of the line is shaded.

(0,0)

(0,–1)

(1,1)

(3,0)

Answer:

$53.25

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

If a function is bijective and 1-to-1, then it will have an inverse function. Consequentially, they will be symmetrical about the line \(y=x\), which is a diagonal line passing through the origin at a 45 degree angle.

None of the graphs look correct though, but it also seems that some options are cut out, so make sure to choose the correct graph given the characteristics I've previously described.

Answer:b

Step-by-step explanation:

Given:

Arear of rectangular rug = 48 sq. feet.

The rug is 8 feet longer than it is wide.

To find:

The width of the rug.

Solution:

Let x feet be the width of the rug.

The rug is 8 feet longer than it is wide.

Length of the rug = (x+8) feet

Area of a rectangle is

\(Area=Length\times Width\)

Arear of rectangular rug is 48 sq. feet.

\(48=(x+8)\times x\)

\(48=x^2+8x\)

\(0=x^2+8x-48\)

Splitting the middle term, we get

\(x^2+12x-4x-48=0\)

\(x(x+12)-4(x+12)=0\)

\((x+12)(x-4)=0\)

Using zero product property, we get

\((x+12)=0\text{ and }(x-4)=0\)

\(x=-12\text{ and }x=4\)

Width cannot be negative. So, \(x=4\).

Therefore, the width of the rug is 4 feet.

If the flow of one of the branches of the main pipe is 04 gallons per minutes and the second branch of the main pipe will floe 6 gallons per minute.

Since the water is not leaking, the amount of water flowing in through the larger pipe should be equal to the amount of water flowing out through the smaller pipe.

So, if r₁ is the flow rate in bigger pipe and r₂ and r₃ are the flow rate in smaller pipe, then we must have

           r₁ = r₂ + r₃

⇒       r₃ = r₂ - r₁

In the given problem we have,

r₁ = 10 gallons per minute

r₂ = 4 gallons per minute

So, using the above formula we have,

r₃ = 10 gallons per minute - 4 gallons per minute

   = 6 gallons per minute.

Therefore, the water flow in the other branch will be 6 gallon per minute.

Learn more about galloons :

https://brainly.com/question/11635818

#SPJ4

3/4+6/7 = (21 + 24)/28 = 45/28

The answer is C. 45/28

Using trend-adjusted exponential smoothing with alpha = 0.1 and beta = 0.2, the forecast for the architectural firm's August income is $94.92 thousand dollars. The mean squared error (MSE) for this forecast is 2.12 \((thousand dollars)^2\).

Trend-adjusted exponential smoothing combines exponential smoothing with a trend adjustment factor. The forecast for a given period is calculated based on the previous forecast and the previous trend value. In this case, the initial forecast for February is given as $85.0 thousand dollars, and the initial trend adjustment is 0.

To calculate the forecast for each month, we use the following formulas:

Level forecast = Previous level forecast + Previous trend adjustment

Trend forecast = Previous trend forecast + Beta * (Current level forecast - Previous level forecast)

Forecast for next period = Level forecast + Trend forecast

Using these formulas, we can calculate the forecasts for each month from February to July. Then, for August, we can apply the trend adjustment formula using the previous level forecast and trend forecast. The resulting forecast for August is $94.92 thousand dollars.

The mean squared error (MSE) is a measure of the accuracy of the forecast. It is calculated by taking the average of the squared differences between the actual income values and the forecasted values. In this case, the MSE for the forecast developed using trend-adjusted exponential smoothing is 2.12 \((thousand dollars)^2\). A lower MSE indicates a better fit between the forecast and the actual data.

Learn more about MSE here:

https://brainly.com/question/30763770

#SPJ11

Yes, a hole in a function is considered a type of discontinuity. A hole occurs when a point is missing from the graph of a function, which causes the graph to have a break in it.

A discontinuity is a break or jump in the graph of a function. A hole in a function is a type of discontinuity where a point is missing from the graph, causing the graph to have a break in it. This type of discontinuity is usually caused by a function having a denominator that is equal to zero, as this creates an undefined point on the graph. This can also occur when two parts of the function are not connected, causing an open gap in the graph. In both cases, the graph is not continuous and has a discontinuity at the point where the hole is present.

Learn more about function here

https://brainly.com/question/29633660

#SPJ4

Yes, the function has a hole in discontinuity.

The term function in math is called as a rule that gives value of a dependent variable that corresponds to specified values of one or more independent variables.

Here we to identify is a hole in a function a discontinuity.

the term discontinuity is defined as is discontinuous at a point if it becomes undefined or the limit at that point does not exist. And whether this point is known as the point of discontinuity.

While we looking the hole on a graph looks like a hollow circle. And which  represents the fact that the function approaches the point, here it is not actually defined on that precise value. Where the major reason why this function is not defined at is because is not in the domain of the function.

To know more about function here.

https://brainly.com/question/28193995

#SPJ4

Answer:

3pq-2

Step-by-step explanation:

25pq + 13pq = 38pq

Next

38pq - 35pq = 3pq

so thats ur first like terms combined then you have to do.

-6+4 = -2

So then you have your answer

3pq-2

Answer:

-17pq-2

Step-by-step explanation:

The exact value for the tangent of 240° is -0.422618261740699.  The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side of a right triangle.

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side of a right triangle. In order to calculate the tangent of 240°, first, find the ratio of the length of the opposite side to the length of the adjacent side. Then, use a calculator to convert the ratio into a decimal. To do this, simply divide the length of the opposite side by the length of the adjacent side. The decimal that is produced is the exact value for the tangent of 240°. In this case, the value is -0.422618261740699.

Learn more about ratio here

https://brainly.com/question/29467965

#SPJ4

Answer:216

Step-by-step explanation:3x9x8

Answer:

12

Step-by-step explanation:

Answer:

The slope of a linear model can be calculated using the formula:

m = Δy / Δx

where:

Δy = change in y (the dependent variable, in this case, total cost)

Δx = change in x (the independent variable, in this case, number of candy bars)

This is essentially the "rise over run" concept from geometry, applied to data points on a graph.

In this case, we can take two points from the table (for instance, the first and last) and calculate the slope.

Let's take the first point (3 candy bars, $6.65) and the last point (25 candy bars, $48.45).

Δy = $48.45 - $6.65 = $41.8

Δx = 25 - 3 = 22

So the slope m would be:

m = Δy / Δx = $41.8 / 22 = $1.9 per candy bar

This suggests that the cost of each candy bar is $1.9 according to this linear model.

Please note that this assumes the relationship between the number of candy bars and the total cost is perfectly linear, which might not be the case in reality.

The quadrilateral in the picture is a square since all four sides are equal.

The angles are all equal and all are right angles.

Clearly, the quadrilateral is a square.

Answer:

12x-6

Step-by-step explanation:

9-3(5-4x) distribute

9-15+12x subtract

-6+12x rearrange

12x-6

Answer:

The length is 95 m

Step-by-step explanation:

P = 2(l+w) where l is the length and w is the width

342 = 2(l+76)

Divide each side by 2

342/2 = 2/2(l+76)

171= l+76

Subtract 76 from each side

171- 76 = l+76-76

95 = l

Answer:

\(\frac{x^3}{1024^3}\)

Step-by-step explanation:

Use negative power rule:  x^-a=1/x^a.

(1/4^2x  * 4^-3)^3

simplify 4^2 to 16

(1/16x * 4 ^-3)^3

Use negative power rule:  x^-a=1/x^a.

(1/16x * 1/4^3)^3

simplify 4^3 to 64.

(1/16x * 1/64)^3

use this rule: a/b * c/d = ac/bd.

(1*x*1/16*64)^3

Simplify the top part

(x/16*64)^3

Simplify the bottom

(x/1024)^3

use division distributive property: (x/y)^a=x^a/y^a.

x^3/1024^3