An image of a rectangular prism is shown below: Part A: If a cross section of the prism is cut perpendicular to the base, what would be the shape of the resulting cross section? Explain your answer. (5 points) Part B: If a cross section of the prism is cut diagonal to the base, what would be the shape of the resulting cross section? Explain your answer. (5 points)​

the best prediction possible for the number of times the spinner will land on yellow if it is spun 72 times is 12. This means that out of 72 spins,

how to solve probability

If the spinner has 12 equal parts and 2 of them are yellow, then the probability of the spinner landing on yellow is 2/12, or 1/6. This means that out of every 6 spins, we can expect the spinner to land on yellow once.

To find the best prediction for the number of times the spinner will land on yellow if it is spun 72 times, we can use the idea of expected value. The expected value of an event is the average value we would expect to see if the event were repeated many times.

In this case, the expected value of the number of times the spinner will land on yellow in 72 spins is simply the probability of landing on yellow multiplied by the number of spins:

Expected value = Probability of yellow x Number of spins

Expected value = (1/6) x 72

Expected value = 12

Therefore, the best prediction possible for the number of times the spinner will land on yellow if it is spun 72 times is 12. This means that out of 72 spins, we can expect the spinner to land on yellow approximately 12 times on average. However, it's important to remember that this is just a prediction based on probability, and the actual number of yellow spins may vary.

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Segments MS and QS are therefore congruent by the definition of bisector. Therefore, the correct answer option is: D. MS and QS.

In Mathematics and Geometry, a perpendicular bisector is a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.

This ultimately implies that, a perpendicular bisector bisects a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.

Since line segment NS is a perpendicular bisector of isosceles triangle MNQ, we can logically deduce the following congruent relationships;

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Complete Question:

The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅ ΔQNS

We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The base angles of the isosceles triangle, ∠NMS and ∠NQS, are congruent by the isosceles triangle theorem. It is also given that NR and MQ bisect each other at S. Segments _____ are therefore congruent by the definition of bisector. Thus, ΔMNS ≅ ΔQNS by SAS.

NS and NS

NS and RS

MS and RS

MS and QS

Answer:

answer

Step-by-step explanation:

To see whether or not two lines are parallel, we must compare their slopes. Two lines are parallel if and only if their slopes are equal. The line 2x – 3y = 4 is in standard form. In general, a line in the form Ax + By = C has a slope of –A/B; therefore, the slope of line q must be –2/–3 = 2/3.

Answer: 4

Step-by-step explanation:

Answer:4

2+2=4 if I have two apples and pick up two more I now have 4 total

Answer:

c

Step-by-step explanation:

Answer:

1 : 5

Step-by-step explanation:

→ Convert 1km into metres

1000

→ Put in ratio format

200 : 1000

→ Simplify

1 : 5

a. The linear equation that models the price-sales relationship is: y = -500x + 5000

b. daily sales: $1,250.

To write the linear equation for a relationship, find the unit rate/slope (m) and the starting value/y-intercept, then substitute the values into y = mx + b.

a. Using two points from the problem, (6, 2000) and (8, 1000), find the unit rate (m):

Unit rate (m) = change in y / change in x = (2000 - 1000)/(6 - 8)

Unit rate (m) = 1000/-2

Unit rate (m) = -500

Find the y-intercept (b) by substituting m = -500 and (x, y) = (6, 2000) into y = mx + b:

2000 = -500(6) + b

2000 = -3000 + b

2000 + 3000 = -3000 + b + 3000

5000 = b

b = 5000

To write the linear equation, substitute m = -500 and b = 5000 into y = mx + b:

y = -500x + 5000

b. Substitute x = 7.5 into y = -500x + 5000:

y = -500(7.5) + 5000

y = -3750 + 5000

y = 1,250

The daily sales would be $1,250.

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The Volume of the box is 12 cubic unit.

We have,

Height = 1 unit

Width = 2 unit

Length = 6 unit

So, Volume of box

= l w h

= 1 x 2 x 6

= 12 cubic unit

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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:

\(\sqrt[3]{215}\)

Decimal Form: 5.99072641

Look down for explanation

Step-by-step explanation:

\(\sqrt[3]{215}\)

You have to simplify.

\(= \sqrt[3]{215}\).

Decimal Form: 5.99072641

Now you have the answer to your question!

Hope this helps!

Answer:

-6°

Step-by-step explanation:

26.4 - 32.4 = -6

Subtract the absolute values of the both number and give the sign of the larger absolute value.

32.4 - 26.4 = 6

The sign will be negative because -32.4 has a larger absolute value (farther from zero) than 26.4

Answer:

- 6°F.

Step-by-step explanation:

  26.4

-  32.4

= -6.0

The temperature at midnight:

-6°F.

Answer:

y = x/2 + 1

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Write equation

x - 4 = 2(y - 3)

Step 2: Solve for slope-intercept form

The domain of the quadratic function in this problem is given as follows:

All real values.

The domain of a function is the set of all the possible input values that can be assumed by the function.

On the graph, the domain of the function is given by the values of x of the function.

A quadratic function has no restrictions on the domain, hence it is defined by all the real values.

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Rounding to the nearest hundredth, the area is approximately 151.976 cm².

The formula for the area of a sector is:

A = (θ/360) x πr²

where θ is the central angle in degrees, r is the radius, and π is pi (3.14).

Plugging in the given values, we get:

A = (144/360) x 3.14 x 11^2

A = 0.4 x 3.14 x 121

A = 151.976

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"The correct answer is option A." The missing coordinates of point Q are (a, c/2).We are given the coordinates of points P and N as (0, c) and (2a, 0), respectively. We are also given that point Q lies on the same line as points P, Q, and N. We need to find the missing coordinates of point Q.

Since point Q lies on the same line as P, Q, and N, its x-coordinate must be halfway between the x-coordinates of points P and N. That is, the x-coordinate of Q is:

x-coordinate of Q = (x-coordinate of P + x-coordinate of N) / 2

x-coordinate of Q = (0 + 2a) / 2 = a

So, we know that the x-coordinate of point Q is a.

To find the y-coordinate of point Q, we can use the fact that point Q lies on the same line as point P, which has coordinates (0, c). The equation of the line passing through P and N is:

y - c = (0 - c) / (2a - 0) * (x - 0)

Simplifying this equation gives:

y - c = -c/2a * xy = -c/2a * x + c

Substituting x = a in this equation gives:

y = -c/2a * a + cy = -c/2 + cy = c/2

So, we know that the y-coordinate of point Q is c/2.

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Answer:about 5.3

Step-by-step explanation:

Step-by-step explanation:

step 1. 2x + 3.79 = 17.29. this is the answer.

Answer: B) As the x-values increase, the y-values tend to decreased

Answer:

Step-by-step explanation:

B

Answer:

x = 9

Step-by-step explanation:

AD is an angle bisector and divides the side opposite ∠ A into segments that are proportional to the other two sides , that is

\(\frac{CD}{BD}\) = \(\frac{AC}{AB}\) ( substitute values )

\(\frac{x}{6}\) = \(\frac{18}{12}\) ( cross- multiply )

12x = 6 × 18 = 108 ( divide both sides by 12 )

x = 9

Triangle ABC and ADE are similar triangles

Similar triangles have the same corresponding angle measures and proportional side lengths.

This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.

It has been shown that angles in ABC and ADE are equal.

To show that the ratio of corresponding sides are equal

6/12 = 8/16 = 10/20

The ratios all give a value of 1/2

Therefore we can say that the triangles ABC and ADE are similar.

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If α is an ordinal and β ∈ α, then β satisfies all three properties of an ordinal. Therefore, β is also an ordinal.

To prove the statement "If α is an ordinal and β ∈ α, then β is an ordinal," we need to demonstrate that if α is an ordinal and β is an element of α, then β satisfies the three properties of an ordinal:

Well-Ordering: Every element of β is strictly well-ordered by the membership relation ∈. This property holds because α is an ordinal and satisfies the well-ordering property, and β being an element of α inherits this property.

Transitivity: For any two elements γ and δ in β, if γ ∈ δ and δ ∈ β, then γ ∈ β. Since β is an element of α and α is transitive, the transitivity property carries over to β.

Trichotomy: For any two elements γ and δ in β, either γ ∈ δ, δ ∈ γ, or γ = δ. Again, this property is inherited from α, as β is an element of α.

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Answer:

x=4 and y=−2

Step-by-step explanation:

1. 3(−7x−8y=−12)

−4(4x−6y=28)

2. −21x−24y=−36

−16x+24y=−112

3. divide

4. Substitute 4 for x in−7x−8y=−12:

(−7)(4)−8y=−12

5. −8y−28+28=−12+28

divide 8 to 16

y=-2

Answer:

Step-by-step explanation:

Given system:

Simplify the second equation:

Solve the system by elimination, multiply the first equation by 2 and the second equation by 7 and add up. Solve for y:

Find x using the second equation:

Solution is (4, -2)

Answer:

30

Step-by-step explanation:

least common multiple

10 = 2*5

3 = 3

2*3*5 = 30

The least common multiple is 30

Answer:

He must make $7,500 in sale

Step-by-step explanation:

Let's say:

s = amount make in sales per week

P1 = weekly salary of Plan 1

P2 = weekly salary of Plan 2

P1 and P2 can be expressed using the fixed amount plus the commission.

P1 = 600 + 0.02s

P2 = 0 + 0.1s

P2 = 0.1s

If both plans result in the same salary:

P1 = P2

600 + 0.02s = 0.1s

0.1s - 0.02s = 600

0.08s = 600

s = 600/0.08

s = $7,500