A conjecture and the flowchart proof used to prove the conjecture are shown.

Given: AB¯¯¯¯¯∥XC−→−

Prove: m∠1+m∠2+m∠3=180°



A triangle with vertices labeled as A B and C. The interior angle C A B is labeled as 2, angle A C B is labeled as 1, and angle C B A is labeled as 3. Line X passes through upper vertex C and forms three angles. The interior angles are labeled as angle 4 and angle 5.



Drag and drop a statement to each box to complete the proof.

Using the Leading Coefficient Test the end behavior of the given function f(x) = −x⁴ − 2x³ + 2x² − 5 is

The end behavior of function typically says the characteristics of the function at the ends

The given function is:

f(x) = −x⁴ − 2x³ + 2x² − 5

The end behavior is determined by the leading Coefficient =  −x⁴  and it is described as

x ⇒ ∞ f(x) ⇒ ∞

x ⇒ -∞ f(x) ⇒ -∞

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Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

The amount of dry ingredients used in the cake recipe is approximately 7 cups.

To find the total amount of dry ingredients used in the cake recipe, we need to add up the amounts of flour, sugar, and cocoa.

3 ½ cups of flour is equal to 3 cups plus 0.5 cups, or 3 cups and 8 ounces.

2 ⅔ cups of sugar is equal to 2 cups plus 0.67 cups, or 2 cups and 10.72 ounces.

1 ¾ cups of cocoa is equal to 1 cup plus 0.75 cups, or 1 cup and 12 ounces.

Adding these amounts together, we get:

3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces

To the nearest cup, this is equal to 7 cups.

Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.

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The first step is to find the values of x and y. From the information given,

x is the cost of an adult ticket and y is the cost of a child ticket. The system of equations is shown below

3x + 5y = 50

x + 5y = 31

From the second equation,

x = 31 - 5y

We would substitute x = 31 - 5y into 3x + 5y = 50. We have

3(31 - 5y) + 5y = 50

By expanding the parentheses, we have

93 - 15y + 5y = 50

- 15y + 5y = 50 - 93

- 10y = - 43

Dividing both sides of the equation by - 10,

- 10y/- 10 = - 43/- 10

y = 4.3

Substituting y = 4.3 into x = 31 - 5y, we have

x = 31 - 5 * 4.3 = 31 - 21.5

x = 9.5

If an adult ticket costs $9.5, then the cost of 4 adult tickets is

4 x 9.5 = $38

Answer:

Step-by-step explanation:

The figure drawn is attached.

This is a quadrilateral.

Clara did it correctly and named properly.

Correct option is A.

Answer:

a. u welcome

9

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

Skewed to the right

Step-by-step explanation:

We have a right-skewed sampling distribution because the population proportion is so extreme relative to the sample size that there are fewer than 10 expected successes per sample.

The shape of the sampling distribution of p is skewed to the right because there are fewer than 10 projected successes per sample.

It is defined as the numerical data representation in the graph with the help of a bar without space. The histogram gives an idea about the data's approximate distribution.

We have:

11% of the 250 freshmen admitted had applied using the early decision option.

Total number of samples = 20

It is given that the admissions director's claim is true.

As we can see from the data shape of the sampling distribution of p is skewed to the right because there are fewer than 10 projected successes per sample since the population proportion is so excessive in comparison to the sample size.

Thus, the shape of the sampling distribution of p is skewed to the right because there are fewer than 10 projected successes per sample.

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Answer:

x = 14

y = 18

Step-by-step explanation:

By the property of similar triangles,

If two triangles are similar their corresponding sides will be proportional.

\(\frac{AB}{EF}= \frac{AC}{GE}\)

\(\frac{5}{10}=\frac{7}{x}\)

x = \(\frac{70}{5}\)

x = 14

Similarly, \(\frac{AB}{EF}= \frac{CB}{GF}\)

\(\frac{5}{10}=\frac{9}{y}\)

y = \(\frac{90}{5}\)

y = 18

The measure of arc XYL + measure of arc VUL + measure of arc VIX = 360°.  Therefore, the correct answer is option D.

The arc length is defined as the interspace between the two points along a section of a curve. An arc of a circle is any part of the circumference.

From the given circle, measure of arc XYL + measure of arc VUL + measure of arc VIX = 360° (Complete angle)

Therefore, the correct answer is option D.

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Answer:

The cost of dinner alone was $37.145

Step-by-step explanation:

15%=0.15----Convert your percentage into a decimal

43.70*0.15=6.555----Multiply the cost of dinner with the decimal

$43.70-$6.555=$37.145----Subtract the last number(6.555) from the total(43.70) to get the cost of dinner alone of $37.145 -This is making you subtract the percentage from the total!

I hope this helped!

The following array can be used to represent 5 X 8 = 40 or 5 rows of 8 make 15. 40 divided by 5 rows results in 8 columns, or 8 in each row, or 40/5=8. 

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Solution

Step 1

∠ACB = ∠DCA, ∠BAC=∠EDC, ∠ABC = ∠DEC

Answer:

first equation: (-3x/2)+6

second equation: (13/2)-(5x/2)

Step-by-step explanation:

Answer:

1) maldava y despota

2) pequenos

Step-by-step explanation:

The way in which the given ordered pairs represent a function is: b. For every x value, there is only one y value - a function.

A function simply refers to a mathematical expression (equation) which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for uniquely mapping an input variable (x-value) to an output variable (y-value).

In this context, we can reasonably infer and logically deduce that these ordered pairs represent a function because it has different input variables (x-values) for different or the same output variables (y-values).

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The trigonometric equation 2sin3x - √3 = 0 is  expressed as x = π/9 + 2πn/3,  2π/9 + 2πn/3

A trigonometric equation is defined as an equation involving one or more trigonometric ratios of unknown angles

Given: 2sin3x - √3 = 0

2sin3x - √3 = 0

2sin3x = √3

sin3x = √3/2

3x = sin⁻¹√3/2           (Note: sin⁻¹√3/2 = 60° = π/3 in radian)

3x = π/3, π -3            (Note: sine  is positive in 1st and 2nd quadrant)

3x = π/3, 2π/3

x = π/9, 2π/9

x = π/9 + 2πn/3,  2π/9 + 2πn/3

Therefore, 2sin3x - √3 = 0 can be expressed as x = π/9 + 2πn/3,  2π/9 + 2πn/3

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The total earnings for 634 hours can then be calculated using the hourly rate and the new number of hours worked. The hourly rate remains constant at $0.09 and the number of hours worked is 634.

Carly would earn $56.68 if she worked for 634 hours. This can be calculated using the following formula: Total Earnings = (Hourly Rate x Number of Hours Worked) In this case, the hourly rate is $0.09 and the number of hours worked is 634. Therefore, Total Earnings = ($0.09 x 634) Total Earnings = $56.68 .This calculation assumes that Carly has a consistent hourly rate for the total hours worked. If Carly's hourly rate changes, then the calculation for her total earnings would need to be adjusted accordingly. In this problem, the initial hourly rate is easily determined by taking the total amount earned (46.20) and dividing it by the number of hours worked (514). This gives an hourly rate of $0.09. The total earnings for 634 hours can then be calculated using the hourly rate and the new number of hours worked. The hourly rate remains constant at $0.09 and the number of hours worked is 634. Therefore, Total Earnings = ($0.09 x 634) Total Earnings = $56.68

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The values of the constants m and c include the following:

m = -1.3

c = 7.1

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

Since the point P(-7, 2) is mapped onto P' (3, -11) by the reflection y = mx + c, we can write the following system of equations;

2 = -7m + c    ...equation 1.

-11 = 3m + c    ...equation 2.

By solving the system of equations simultaneously, we have:

2 = -7m - 3m - 11

11 + 2 = -10m

13 = -10m

m = -1.3

c = 7m + 2

c = 7(-1.3) + 2

c = -7.1

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Answer:

one solution I think is the answer

Answer:

9.25555555556 or

nine and two hundred fifty six thousandths. (rounded to nearest thousandth)

Step-by-step explanation:

Answer:

  400 g

Step-by-step explanation:

Let p represent the mass of the peas & carrots. The scale is balanced when the mass on one side is equal to the mass on the other side.

  p + 2(300 g) = 4(250 g)

  p = 1000 g -600 g . . . . . subtract 600 g

  p = 400 g

The mass of the peas & carrots is 400 grams.

Answer:

\(x = -\frac{12}{5}\)

Step-by-step explanation:

To solve the equation, isolate x. Whatever you do to isolate x one on side, you must do to the other.  

1) Multiply both sides by 9 to get rid of the fractions.  

\(\frac{21-4x}{9} +\frac{8x+15}{3} = 2 \\21-4x + 3(8x + 15) =18 \\\)

2) Distribute the 3 to 8x and 15. Then, combine like terms.

\(21-4x + 24x + 45 = 18 \\66 + 20x = 18\)

3) Move the 66 to the other side, subtracting 18 by 66, then divide each side by 20 to finally isolate x.

\(20x = -48\\x = -\frac{48}{20} \\x =- \frac{12}{5}\)

Thus, \(x = -\frac{12}{5}\).

The critical value to use in constructing the confidence interval is 1.645. This critical value corresponds to the 90% confidence level.

The critical value to be used in constructing the 90% confidence interval is 1.645. This is the z-score associated with a 90% confidence level. In other words, this is the value that is 1.645 standard deviations away from the mean. This value is found using the z-table, which contains the probability values for a standard normal distribution.

Therefore, the critical value to use in constructing the confidence interval is 1.645. This critical value corresponds to the 90% confidence level.

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The 85% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list is (0.28, 0.38).

Let's calculate the sample proportion;

Sample proportion = 93 / 283 = 0.33

The margin of error of the data can be calculated by;

Margin of error = Z * √(p(1-p) / n)

where:

Margin of error = 1.96 * sqrt(0.33 * (1-0.33) / 283) = 0.05

The confidence interval can be calculated as

Confidence interval = 0.33 ± 0.05 = (0.28, 0.38)

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Answer: Yes wheels affect the force, with wheels it moves longer and faster without wheels it doesn't move as much and doesn't go fast.

So they should; Share their conclusion

Step-by-step explanation: This really ez

Answer:

-1.25

Step-by-step explanation:

-5/4

notice the two dotted points

in order to find slope, do RISE/RUN

in order for the two dotted points to meet, you must go UP 5 and ACROSS 4

rise = up

run = across

next, you need to solve the slope

do -5/4

-5/4 = -1.25

your answer is -1.25

Answer:

-1.25

Step-by-step explanation:

5/-4=-1.25

Answer:

b = 5

Step-by-step explanation:

Answer:

b = 5

Step-by-step explanation:

34-4b = 14

Subtract 34 from both sides of the equation,

-4b = 14-34

-4b = -20

Divide both sides of the equation by -4,

b = 5