Cheryl paid $37.20 for 12 gallons of ice cream for a school picnic. How much would 1 quart of ice cream cost

What is the volume of the prism? 1080 cm 2700 cm 3240 cm 6480 cm

makkiz [27]

Answer:

Volume of prism = 3,240 cm³

Step-by-step explanation:

GIven.

Hexagonal prism.

Side of base(b) = 12cm

Height of prism = 9cm

Height of base (h)= 10cm

Find:

The volume of the prism.

Computation:

Area of base of hexagonal prism = n/2[bh]

Area of base of hexagonal prism = 6/2[(12)(10)]

Area of base of hexagonal prism = 360 cm²

The volume of prism = Area of base of hexagonal prism × Height of prism

The volume of prism = 360 × 9

Volume of prism = 3,240 cm³

3 0

2 years ago

In the figure, CD = EF and AB = CE. Complete the statements to prove that AB = DF.

viva [34]

Answer:

1. Addition Property of Equality

2. Segment addition

3. Substitution Property of Equality.

4. Transitive Property of Equality.

Step-by-step explanation:

Here, given : CD = EF and AB = CE

To Show: AB = DF

Now, as given in the steps:

1. CD + DE = EF + DE by the (addition) Property of Equality.

As we have added the EQUAL QUANTITY on both sides of the equality.

2.CE = CD + DE and DF = EF + DE by (segment addition).

As here CE and DF are line segments. And the length of a

Line Segment = Sum of all its parts in which it is divided.

3.CE = DF by the (Addition, subtraction, substitution, transitive)Property of Equality.

Here, as we know CE = CD + DE

but CD = EF , so SUBSTITUTE EF in place of CD

⇒ CE = EF + ED = FD (by substitution) Property of Equality.

4.Given, AB = CE and CE = DF implies AB = DF by the (transitive)Property of Equality.

As, x = y , y = z ⇒ x = z is the TRANSITIVE PROPERTY

3 0

2 years ago

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Ivan used coordinate geometry to prove that quadrilateral EFGH is a square.

Thepotemich [5.8K]

Answer:

this is geometry?

Step-by-step explanation:

5 0

2 years ago

Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?

SCORPION-xisa [38]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?

A. (-6, 0)

B. (0, -6)

C. (0, 2)

D. (2, 0)

The graph of the question is attached.

Answer:

The point is (x, y) = (0, 2)

The correct option is C.

Therefore, the point (0, 2) on the y-axis lies on the line that passes through point C and is perpendicular to line AB.

Step-by-step explanation:

From the given graph, the points A and B are

$(x_1, y_1) = (-2, 4) \\\\(x_2, y_2) = (2,-8) \\\\$

The slope of the equation is given by

$m_1 = \frac{-8 - 4 }{2 -(-2)} \\\\ m_1 = \frac{-12 }{2+2} \\\\m_1 = \frac{-12 }{4} \\\\m_1 = -3 \\\\$

We know that the slopes of two perpendicular lines are negative reciprocals of each other.

$m_2 = - \frac{1}{m_1}$

So the slope of the other line is

$m_2 = \frac{1 }{3} \\\\$

Now we can find the equation of the line that is perpendicular to the line AB and passes through the point C.

From the graph, the coordinates of point C are

$(x_1, y_1) = (6, 4)$

The point-slope form is given by,

$y - y_1 = m(x -x_1)$

Substitute the value of slope and the coordinates of point C

$y - 4 = \frac{1 }{3} (x - 6)\\\\$

To get the y-intercept, substitute x = 0

$y - 4 = \frac{1 }{3} (0 - 6) \\\\y - 4 = \frac{-6 }{3}\\\\y - 4 = -2\\\\y = 4 -2 \\\\y = 2 \\\\$

So, the point is

$(x, y) = (0, 2)$

The correct option is C.

Therefore, the point (0, 2) on the y-axis lies on the line that passes through point C and is perpendicular to line AB.

6 0

2 years ago

Triangles A B C and X Y Z are shown. Which would prove that ΔABC ~ ΔXYZ? Select two options. StartFraction B A Over Y X = StartF

sergejj [24]

Answer: Answer is 3

BC 6

------ = ------

XY 3

Step-by-step explanation:

The statements below can be used to prove that the triangles are similar.

On a coordinate plane, right triangles A B C and X Y Z are shown. Y Z is 3 units long and B C is 6 units long.

A B Over X Y = 4 Over 2

?

A C Over X Z = 52 Over 13

△ABC ~ △XYZ by the SSS similarity theorem.

Which mathematical statement is missing?

1. Y Z Over B C = 6 Over 3

2. ∠B ≅ ∠Y

3. B C Over Y Z = 6 Over 3

4. ∠B ≅ ∠Z

5 0

2 years ago

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