I need to find 13 and 12

The reasons for the statements supporting the proof that ∡TV ≅ ∡ XW are given as follows;

A - Given

H - Vertical Angles

F- Angles that inscribe a half circle are congruent and 90°

C - Angle-Angle-Side Triangle Congruence

E - CPCTC

D - Reflexive Property

I - Hypotenuse Leg (H-L) Triangle Congruence

G - CPCTC

B - Arcs of a congruent angles are congruent

CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent". It is a theorem used in geometry to prove that two triangles are congruent.

An inscribed angle is half the measure of its intercepted arc. A half circle is a semicircle, which has an intercepted arc of 180°, so the inscribed angles are 1/2(180°) = 90° and congruent.

The reflexive property is a property of equality that states that any quantity is equal to itself. In other words, a = a. This property is used in many mathematical proofs.


The Hypotenuse-Leg (H-L) Triangle Congruence is a rule used to prove that two right triangles are congruent. If the hypotenuse and a leg of one triangle are congruent to the hypotenuse and the corresponding leg of another triangle, then the two triangles are congruent.


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Accοrding tο the given infοrmatiοn the measure οf arc PQR is 170 degrees.

A quadrilateral is a fοur-sided pοlygοn, which is a twο-dimensiοnal geοmetric figure with straight sides. Quadrilaterals can have a variety οf shapes, sizes, and angles, but they all have fοur sides and fοur vertices (cοrners).

Since the quadrilateral PQRS is inscribed in a circle, we knοw that angle PQR is an inscribed angle οf arc PR. By the Inscribed Angle Theοrem, the measure οf an inscribed angle is equal tο half the measure οf its intercepted arc. Therefοre, the measure οf arc PQR is twice the measure οf angle PQR, which is:

2 * 85 = 170 degrees.

Therefοre, accοrding tο the given infοrmatiοn the measure οf arc PQR is 170 degrees.

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The domain of the function is y = -1/2(x-5)^2 + 4, for 3 ≤ x ≤ 9.

To transform the function y=x^2 according to the given specifications, we can use the following steps:

Domain: Finally, the domain of the transformed function is given as [3, 9], which means that the function is only defined for x-values between 3 and 9. Therefore, we need to restrict the domain of the function to this interval. Therefore, the final transformed function is:

Therefore the transformation is y = -1/2(x-5)^2 + 4, for 3 ≤ x ≤ 9.

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Answer: 17.5

Step-by-step explanation:

First find the two numbers (data values) that are in the middle. Thats 15 and 20. When you have two numbers in the middle of a data set you average them. (Buy adding 15 and 20 then dividing by 2) So the answer is 17.5

Answer: 32+2.25(8)=50

Step-by-step explanation:

If you have $50 and waste $32 that leaves you with $18.

If each dip cost 2.25 you can have a total of 8 dips.

32+2.25(x)=50

32+2.25(8)=50

Answer:

3/8

Step-by-step explanation:

1/4+1/8

2/8+1/8

=

3/8

3/8

1+2 to equal 3, which is all the numerators above the least common denimonater 8

Answer:

50s

Step-by-step explanation:

180cm³= 30s

300cm³=x s

Thus,

180x= 30×300

180x = 9000

x= 50s.

Hope this helps! :)

Based on the information provided, the probability of both events happening is 0.011 or 1.1% (option A).

The probability can be described as the proportion between the desired outcome happening and the total of possible outcomes. Using this principle, let's calculate the probability:

Probability of Gypsy finishing first: 1 / 10 = 0.1

Probability of Silver Rush finishing second: 1/ 9 = 0.11

Total probability 0.1 x 0.11 = 0.011 or 1.1% (0.011 x 100)

Therefore, the answer that matches the probability is option A.

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The area of the circle given a diameter of 24 inches is 452 square centimeters

To calculate the area of a circle with a diameter of 24cm, we first need to find the radius.

The radius is half the diameter, so it would be 12cm.

Once we have the radius, we can use the formula for the area of a circle, which is A = πr².

Substituting the value of the radius into the formula gives us:

A = π(12)² = 144π

Evaluate

A = 452cm²

Hence, the area of the circle is 144π square centimeters or 452cm²

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By using the graph, the key features of the function include the following:

In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = {-∞, ∞} or {x|x ∈ R}.

Range = {-1, ∞}.

Based on the graph, the x-intercept and y-intercept of the function both occur at the origin (0, 0).

When x = -2, the y-value is given by:

f(-2) = 3.

When x = 2, the y-value is given by:

f(2) = -1.

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Answer: 592

Step-by-step explanation:

A=2(wl+hl+hw)

A=2(8*10+12*10+12*8)=592

The number of sets is 128 by using the multiplication principle.

The multiplication principle states that if there are k events, and if the first event can happen in n_1 ways, the second event can happen in n_2 ways, and so on, then the k events can happen in n_1 × n_2 × ... × n_k ways.

To find the number of sets of four marbles include one of each color other than lavender, A bag contains two red marbles, four green ones, one lavender one, four yellows, and four orange marbles.

There are two red marbles.

There are four green ones.

There are four yellows.

There are four orange marbles.

So, total of 2 + 4 + 1 + 4 + 4 = 15 marbles in the bag.

To find the total number of sets of four marbles including one of each color other than lavender, use the multiplication principle.

In this question, there are 5 events (choosing one of each color).

The first event can happen in 2 ways.

The second event can happen in 4 ways.

The third event can happen in 4 ways.

The fourth event can happen in 4 ways.

Therefore, by the multiplication principle, the total number of sets of four marbles includes one of each color other than lavender

= 2 × 4 × 4 × 4 ⇒ 128 sets.

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The answer of the given question based on the exponential random variable with mean  i.e. [tex]\mu o \leq \bar x + \frac{z \alpha \sigma}{\sqrt{n} }[/tex].

The null hypothesis is  statement or assumption about population parameter that is tested for its validity using statistical methods. It is  statement of no effect, no difference, or no relationship between the variables of interest,

(a) To test the null hypothesis  [tex]H$ o: \mu =\mu o[/tex], we can use a one-sided test with rejection region R =  [tex]\bar x \geq \mu o + \frac{z \alpha \sigma}{\sqrt{n} }[/tex], is the critical value from the Standard Normal distribution that corresponds to a significance level of α = 0.10 (since we want a 90% confidence interval). If the observed sample mean  falls in the rejection region R, we reject the null hypothesis and conclude that the true mean μ is greater than μ0 with 90% confidence.

To find the confidence interval of the form [∗,[infinity]), we can solve the inequality   [tex]\bar x \geq \mu o + \frac{z \alpha \sigma}{\sqrt{n} }[/tex]  for [tex]\mu[/tex] which gives:

[tex]\mu o \leq \bar x - \frac{z \alpha \sigma}{\sqrt{n} }[/tex]

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The sum of the measures of the interior angles of an 11-sided polygon is 1620 degrees.

The formula to find the sum of the measures of the interior angles of a polygon is:

Sum of interior angles = (n - 2) × 180 degrees

Where n: number of sides of the polygon.

Using this formula, we can find the sum of the measures of the interior angles of a polygon with 11 sides:

Sum of interior angles = (11 - 2) × 180 degrees

Sum of interior angles = 9 × 180 degrees

Sum of interior angles = 1620 degrees

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The calculated vertex of the graph represented in the figure is (-3, -3)

Given that we have the graph

The curve on the graph is a quadratic function

As a general rule, the vertex of a graph is the minimum or the maximum point on a graph

From the graph, we have the minimum point to be

Minimum = (-3, -3)

This means that

Vertex = (-3, -3)

Hence, the vertex is (-3, -3)

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The ordered pairs that correspond to input-output pairs of the function y=-7x+3 are  (5,32).

The input-output pairs of the function y=-7x+3 can be determined by plugging in the input value x into the function and solving for y. The formula y=-7x+3 can be used to calculate the output value corresponding to a given input value x. For example, if x=4, then y=-7(4)+3=-28+3=5, so the input-output pair is (4,5). Similarly, if x=5, then y=-7(5)+3=-35+3=32, so the input-output pair is (5,-32). The ordered pairs that correspond to input-output pairs of the function y=-7x+3  and (5,32).

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The experimental probability that the next customer will want mustard on their hot dog is 2/3.

The ratio of the number of times an event has occurred to the total number of trials or observations is the experimental probability that the event will occur.

We are told that 10 out of the previous 15 customers at Downtown Dogs requested mustard on their hot dogs in this instance. Hence, the following is the experimental likelihood that a client will request mustard on their hot dog:

Number of consumers who requested mustard divided by the total number of customers is the experimental probability.

10/15 is the experimental probability.

By dividing the numerator and denominator of the fraction by 5, we may simplify it to:

2/3 is the experimental probability.

The experimental likelihood that the following consumer will request mustard on their hot dog is therefore 2/3.

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Answer:

Step-by-step explanation:

[tex]\frac{3x+9}{12x} \\we \ can \ write \ 3x+9 \ as 3(x+3)\\\frac{3x+9}{12x}=\frac{3(x+3)}{3*4x}=\frac{x+3}{4x}[/tex]

Answer:

[tex]\frac{x+3}{4x}[/tex]

Step-by-step explanation:

[tex]\frac{3(x)+9}{12x}[/tex]

[tex]\frac{3(x+3)}{12x}[/tex]

To simplify 3(w+11) /6w, we can first simplify the numerator by distributing the 3:

3(w+11) = 3w + 33

Now we have:

(3w + 33) / 6w

We can further simplify by factoring out a 3 from the numerator:

3(w + 11) = 3 * 1(w + 11)

So we have:

(3 * 1(w + 11)) / 6w

The 3's cancel out, leaving:

(w + 11) / 2w

Therefore, the fully simplified expression is (w + 11) / 2w.

Answer:

The number of rooms he can wire with 3/4 of a roll of wire is 1/4.

What are proportions?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Given that, an electrician needs 3 rolls of electrical wire to wire each room in a house.

Let the number of rooms he can wire with 3/4 of a roll of wire be x.

Now, the proportion is

3/1 = 3/4/x

3x=3/4

x=1/4

Answer: To prove the relationship between segments AB and CD, we need to determine if they are parallel, perpendicular, or neither.

First, let's find the slope of line AB:

y − 9 = −4(x + 1)

y − 9 = −4x − 4

y = −4x + 5

So the slope of line AB is -4.

Now let's find the slope of line CD:

y − 6 = one fourth(x − 3)

y − 6 = (1/4)x − (3/4)

y = (1/4)x + (21/4)

So the slope of line CD is 1/4.

Since the slopes of the two lines are not equal and not negative reciprocals, they are neither parallel nor perpendicular. Therefore, we cannot determine the relationship between segments AB and CD based on the given information.

Step-by-step explanation:

Answer:

40 and 27

Step-by-step explanation:

Answer:Let's call the two numbers x and y.

From the problem, we know that:

x + y = 67 (equation 1)

and

x - y = 13 (equation 2)

To solve for x and y, we can use the method of elimination. We can add equations 1 and 2 to eliminate y:

(x + y) + (x - y) = 67 + 13

Simplifying this equation, we get:

2x = 80

Dividing both sides by 2, we get:

x = 40

Now we can use equation 1 to solve for y:

x + y = 67

40 + y = 67

Subtracting 40 from both sides, we get:

y = 27

Therefore, the two numbers are 40 and 27.

Step-by-step explanation:

Answer:

2000 pounds

Step-by-step explanation:

Let's start with the initial amount of gravel in the mound, which is g pounds.

After 300 pounds are added, the total amount of gravel in the mound becomes:

g + 300

Then, two orders of 600 pounds are sold and removed from the mound. So, the total amount of gravel in the mound after these two orders are sold becomes:

g + 300 - 2(600) = g + 300 - 1200 = g - 900

Finally, we know that at the end of the day, the mound has 1400 pounds of gravel. So, we can set up an equation:

g - 900 + 300 = 1400

Simplifying this equation, we get:

g - 600 = 1400

Adding 600 to both sides, we get:

g = 2000

Therefore, the initial amount of gravel in the mound was 2000 pounds.

Answer:

2000 pounds

Step-by-step explanation:

sorry it took a while;)

Answer:

A triangular prism.

Step-by-step explanation:

Answer: Triangular prism

Step-by-step explanation:

A triangular prism is a three dimensional shape, consisting of two triangular and three rectangular faces. Based on the image provided, and the description of a triangular prism, we can deduct this three dimensional shape is a triangular prism.

Answer and Explanation:

1. corresponding: bottom right graph

         → the angles are in the same place in relation to the parallel lines

2. alternate interior: bottom left graph

         → the interior angles are on opposite sides of the transversal

3. alternate exterior: top left graph

         → the exterior angles are on opposite sides of the transversal

4. none of these: top middle graph

         → there are no parallel lines

The angles are classified as follows

angle 1 angle of elevation

angle 2 angle of depression

angle 3 angle of elevation

angle 4 angle of depression

The angle of elevation is the angle between the horizontal plane and the line of sight or upward direction to an object or point that is above the observer. It is usually measured from the observer's eye to the object or point of interest, and is expressed in degrees or radians.

The angle of elevation is commonly used in trigonometry to solve problems involving right triangles and heights of objects.

The angle of depression is the angle between the horizontal plane and the line of sight or downward direction to an object or point that is below the observer. It is measured from the observer's eye to the object or point of interest, and is also expressed in degrees or radians.

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Answer[tex]n^{2} -4n+4[/tex]

Step-by-step explanation:

had to keep the minus than add a plus sign

Answer:

To find out which expression must be added to 3x - 7 to equal 0, we need to solve the equation:

3x - 7 + a = 0

where "a" is the expression to be added.

To solve for "a", we can isolate "a" on one side of the equation by adding 7 to both sides:

3x - 7 + a + 7 = 0 + 7

Simplifying the left side, we get:

3x + a = 7

Therefore, the expression that must be added to 3x - 7 to equal 0 is:

a = -3x + 7

We can check that this is correct by substituting -3x + 7 for "a" in the original equation:

3x - 7 + (-3x + 7) = 0

Simplifying the left side, we get:

3x - 3x - 7 + 7 = 0

0 = 0

The equation is true, which confirms that the expression -3x + 7 must be added to 3x - 7 to equal 0.

Step-by-step explanation:

Research scenariο wοuld mοst likely be biased against nοn-vοters are :

Bias in research refers tο a systematic deviatiοn frοm the truth in the results οf a study, usually due tο factοrs that affect the sampling, measurement, οr analysis οf data. A research scenariο is biased against nοn-vοters if it systematically under-represents οr misrepresents the views, οpiniοns, οr behaviοrs οf peοple whο dοn't vοte in the sample οr pοpulatiοn under study.

In the given οptiοns, the scenariοs that are biased against nοn-vοters are:

Therefοre, research scenariο wοuld mοst likely be biased against nοn-vοters are :

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