Determine the number of unique triangles that can be made from the following information: For ∆LMN, ∠ = 31°, /LM = 6.9, and /MN = 3.4.

The total percent discount offered by the merchant is 57.12%.

A discount is when the price of an items is reduced. It makes a good cheaper when a discount is applied.

The percent change in price after the first discount = 100% - 32% = 68%

The final price after the second discount = (100 - 16%) x 68%

= 57.12%

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Answer:

Hiiiiiiiiiiiiii iiiiiiiiiiiiiiii

Answer:

Step-by-step explanation:

the 3rd

Answer:

g < 2

Step-by-step explanation:

2g - 3 < 1 , add 3 to both sides

2g -3 + 3 < 1+3 , combine like terms

2g < 4, divide both sides by 2

g < 2

Answer:

y-intercept = (0, -2)

x-intercept = (2, 0)

Step-by-step explanation:

The y-intercept is the value of y when x = 0. Therefore, Given the linear equation, y = x - 2:

Let x = 0:

y = 0 - 2

y = -2.

Therefore, the y-intercept of the linear equation, y = x - 2  is (0, -2).

The x-intercept is the value of x when y = 0.

Therefore, let y = 0:

y = x - 2

0 = x - 2

Isolate x by adding 2 to both sides of the equation:

0 + 2 = x - 2 + 2

2 = x

Therefore, the x-intercept is (2, 0).

The probability of choosing a red marble, then a red marble is 0.192

From the question, we have the following parameters that can be used in our computation:

A bag contains 6 red, 2 blue, and 5 green marbles

If the marbles were not replaced, then we have

P(Red) = 6/13

P(Second Red) = 5/12

So, we have

The probability of choosing a red marble, then a red marble  is

P = 6/13 * 5/12

Evaluate

P = 0.192

Hence, the probability of choosing two red marbles is 0.192

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Answer:

0

Step-by-step explanation:

The answer is 0 I think

Hope it help

Let be "x" the length in feet represented by a scale drawing of:

You can write the given fraction as a Decimal number. To do this, you only need to divide the numerator by the denominator. Then:

Based on the information given in the exercise, you can set up the following proportion:

Now you must solve for "x" in order to find its value. This is:

The answer is:

Answer:

add 7 on both sides. b-7+7=12+7 to eliminate 7. you get b=19. hope this helps.

Answer:

7

Step-by-step explanation:

2+4+6+8+10+2

=42÷6(coz 6 multiples)

=7

Answer:

.............................

The predicted graphs for large circles (diameter > 20 cm) and small circles (diameter < 20 cm) would show positive linear relationships between circumference and diameter, with the graph of large circles being steeper.

Predicted Graphs:

The graph for large circles would have a steeper slope compared to the graph for small circles, indicating a greater increase in circumference for larger changes in diameter. Both graphs would start at the origin and show a positive linear relationship, but the rate of increase in circumference would be more pronounced for the large circles.

Steeper Graph:

The decision that the graph of large circles would be steeper is based on the understanding that the circumference of a circle is directly proportional to its diameter. Since the large circles have diameters greater than 20 cm, their corresponding circumferences would increase at a faster rate compared to the small circles with smaller diameters. Therefore, the graph for the large circles would have a steeper slope, reflecting a greater change in circumference per unit change in diameter.

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Answer

x = 18

You're welcome

Answer:

The answer would be x=18

Answer:

F

Step-by-step explanation:

Answer:

60 na po Sana makatutulong

Neither of the segments is the perpendicular bisector of the other.

To determine which segment is the perpendicular bisector of the other, we need to find the equations of the lines containing each segment and then check if one of the lines is perpendicular to the other and passes through the midpoint of the other segment.

Let's start by finding the midpoint of segment AT. The coordinates of A and T are not given, but we don't actually need them to find the midpoint.

So, the midpoint M of segment AT is:

M = ((AT_x1 + AT_x2)/2, (AT_y1 + AT_y2)/2)

We don't know the actual values of AT_x1, AT_x2, AT_y1, and AT_y2, but we can find their expressions in terms of x using the segment lengths and the coordinates of the endpoints. We have:

AT_x2 - AT_x1 = BT_x2 - AT_x1 = (x + 5) - (2x + 3) = -x + 2

AT_y2 - AT_y1 = BT_y2 - AT_y1 = (BT - AT) = (x + 5) - (2x + 3) = x + 2

Therefore,

AT_x1 = AT_x2 + x - 2

AT_y1 = AT_y2 - x - 2

Now, we can substitute x=2 and the expressions for AT_x1 and AT_y1 into the midpoint formula to find the coordinates of M:

M = ((AT_x1 + AT_x2)/2, (AT_y1 + AT_y2)/2) = ((AT_x2 + 2 - AT_x2)/2, (AT_y2 - 2 - AT_y2)/2) = (1, -1)

So, the midpoint of segment AT is M(1, -1).

Next, let's find the equations of the lines containing segments AT and DT. We can use the point-slope form of the equation of a line, which states that the equation of a line passing through a point (x1, y1) with slope m is y - y1 = m(x - x1).

For segment AT, we have:

m_AT = (AT_y2 - AT_y1)/(AT_x2 - AT_x1) = (x + 2)/(x - 1)

Let's substitute x=2 to find the slope of the line containing segment AT:

m_AT = (2 + 2)/(2 - 1) = 4

So, the equation of the line containing segment AT is:

y - AT_y1 = m_AT(x - AT_x1)

y - (22 + 3) = 4(x - 22 - 1)

y - 7 = 4(x - 5)

y = 4x - 13

For segment DT, we have:

m_DT = tan(m∠ATD) = tan(41x + 8)

Let's substitute x=2 and simplify:

m_DT = tan(82 + 8) = tan(90) = undefined

This means that the line containing segment DT is vertical and its equation is x = DT_x1 = 4*2 + 1 = 9.

Now, we need to check if one of these lines is perpendicular to the other and passes through the midpoint of the other segment.

First, let's check if the line containing segment AT is perpendicular to the line containing segment DT.  We have:

m_AT * m_DT = 4 * undefined = undefined

Since undefined is not equal to -1, the lines are not perpendicular, and we can rule out the possibility that the line containing segment AT is the perpendicular bisector of segment DT.

Next, let's check if the line containing segment DT is perpendicular to the line containing segment AT. We have:

m_AT = 4

So, the slope of the line perpendicular to the line containing segment AT is -1/4. We can use the point-slope form of the equation of a line again:

y - M_y = -1/4(x - M_x)

y - (-1) = -1/4(x - 1)

y + 1 = -1/4x + 1/4

y = -1/4x + 3/4

Now, we need to check if this line passes through point D, an endpoint of segment DT. We can substitute the coordinates of D into the equation of the line and check if the equation holds true:

DT_y1 = 4*2 + 1 = 9

DT_x1 = 9

9 = -1/4*9 + 3/4

9 = -9/4 + 3/4

9 = -6/4

This is not true, so the line containing segment DT does not pass through point D. Therefore, we can conclude that the line containing segment DT is not the perpendicular bisector of segment AT.

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The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

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Answer:

the line segment is a part of an infinite line.

Answer:

Ebuka is correct.  Ivy is thinking about a line, not a line segment.  And ethan is the one saying that a line segment is about more than a length.

Answer:  x = 68/3

Step-by-step explanation: 2/3x - 1/9 + 5 = 20

Combine the fractions:   5 - 1/9 = 44/9

44/9 + ⅔x = 20

Subtract 44/9 from both sides:   44/9 + ⅔x - 44/9 = 20 - 44/9

Simplify:  ⅔x = 136/9

Multiply both sides by 3:    3 x ⅔x = 136 x 3 divided by 9

Simplify:   2x = 136/3

Divide both sides by two:   2x/2 = 136/3 divided by two

Simplify:   x =  68/3

Since you need conversion from meters to centimetres, thus, you need some data about how does a meter relates to centimetre.

Thus, Option D: 100cm = 1m is the equality which will be useful for given calculation.

If a quantity is expressed in one unit and has to be converted to other unit, then you need to have some data by which you can relate those two units together so as to know how much of first scale is equal to that of a unit of second scale or vice versa.

Since the given quantity asks to know how many centimetres are there in a meter, thus from given option, the fourth option is most appropriate and useful.

Thus,

Option D:  100cm = 1m is the equality which will be useful for given calculation.

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Overall fraction of sold seats is 0.63333...

First we use the fact that 2/3 of the seats are located on the main floor and the number of seats on the main floor is 600, so the total number of seats can be calculated as follows:

Total number of seats = 600 / (2/3) = 900 seats

Next, we can find the number of seats in the balcony:

Balcony seats = Total number of seats - Main floor seats = 900 - 600 = 300 seats

Next, we can find the number of sold floor seats:

Sold floor seats = 4/5 * 600 = 480 seats

And the number of sold balcony seats:

Sold balcony seats = 1/2 * 300 = 150 seats

Finally, to find the overall fraction of sold seats in the theater, we add the number of sold floor seats and the number of sold balcony seats and divide by the total number of seats:

Overall fraction of sold seats = (480 + 150) / 900 = 0.63333... (rounded to the nearest hundredth)

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The given function is in vertex form, which is:

f(x) = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

Comparing the given function to the vertex form, we can see that a = -1, h = 3, and k = 8.

Therefore, the vertex of the graph is at the point (h, k) = (3, 8).

So the coordinates of the vertex of the graph are (3, 8).

The constraints of inequalities are 3x + 4y ≤ 640 and 75x + 60y ≤ 12900

Represent the types of cellphones with x and y

Using the problem statements, we have the following table of values

                         x             y       Available

Labor (hours)   3            4         640

Materials ($)     75         60       12900

From the above, we have the following constraints of inequalities:

3x + 4y ≤ 640              

75x + 60y ≤ 12900

The graph of the inequalities and the shaded region are added as an attachment

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The range of the function is

\(y \leqslant 1\)

Answer:

15.7 meters

Step-by-step explanation:

Applying,

s = πd∅/360°..................... Equation 1

Where s = length of the arc formed, d = diameter of the circle, ∅ = angle formed by the center of the circle, π = pie.

From the question,

Given: d = 15 meters, ∅ = 120°

Constant: π = 3.14

Substitute these values into equation 1

s = (3.14×15×120)/360

s = 15.7 meters

Hence the lenght of the arc formed is 15.7 meters

Answer:

80 = x

Step-by-step explanation:

The base angles are the same if the side lengths are the same

The unmarked angle is 50 degrees

The sum of the angles is a triangle is 180 degrees

180= 50+50+x

180 = 100 +x

180 -100 = 100+x-100

80 = x

Answer:

80°

Step-by-step explanation:

In an isosceles triangle, if the two sides are the same length, then the two angles formed on the base line are equal.

The other angle on the base line is also equal to 50°.

Angles in a triangle add up to 180°.

x° + 50° + 50° = 180°

x° + 100° = 180°

x° = 180° - 100°

x° = 80°

The type of transaction described in the problem is called an installment purchase.

What is the simple interest?

Simple interest is a type of interest that is calculated on the principal amount of a loan or investment for a specific period of time.

The type of transaction described in the problem is called an installment purchase. In this type of transaction, a buyer pays a deposit at the time of purchase and then makes periodic payments, typically over a fixed period of time, until the full purchase price is paid off. In this case, the buyer pays a deposit of R999 and then pays off the remaining balance over a period of 3 years using simple interest.

To calculate the total amount that the buyer will pay over the 3-year period, we need to calculate the amount of interest that will be charged on the remaining balance. Since simple interest is being used, we can use the formula I = Prt, where I is the interest, P is the principal (the remaining balance), r is the interest rate, and t is the time period.

Assuming an annual interest rate of, for example, 5%, the interest charged on the remaining balance of R4000 (the original price minus the deposit) over 3 years would be:

I = Prt

I = 4000 * 0.05 * 3

I = R600

So the total amount that the buyer will pay over the 3-year period is:

R999 (deposit) + R4000 (remaining balance) + R600 (interest) = R5599

the total cost of the binoculars over the 3-year period will be R5599.

Hence, The type of transaction described in the problem is called an installment purchase.

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Answer:

2% different

Step-by-step explanation:

it is 2% different because if Ace scored 3 baskets in his scond game but it was 2 less then his first so which means his first game he scored 5

Answer:

a) Precision and accuracy are necessary here to ensure the protection of the wires, which be phone lines, cable lines or electrical lines.

b) Precision or the repeatability of measurements gives and impression that you getting the correct measurement but unless your instruments are properly calibrated, tug you cannot be sure that your measurements are truly correct.

c) Incorrect measurements could leave the wires exposed to the elements which could lead to their premature breakdown, hence increasing the maintenance costs of the wires and thereby the entire system.