What is the slope of the following table?

1/2 x 1/4 answer then write in simplest form

Afina-wow [57]

Answer:

1/8

The drawing will help

4 0

3 years ago

Find the area of the following figures:

allsm [11]

Answer:

Area = 156 square cm

Step-by-step explanation:

4 0

2 years ago

Find the surface area of the prism. Enter your answer in the box. A rectangular prism with dimensions 6 meters by 3 meters by 12

e-lub [12.9K]

Given:

Dimensions of a rectangular prism are 6 meters by 3 meters by 12 meters.

To find:

The surface area of the prism.

Solution:

The surface area of a rectangular prism is:

$A=2(lb+bh+hl)$

Where, l is length, b is breadth and h is height.

Putting $l=6,b=3,h=12$ , we get

$A=2(6\times 3+3\times 12+12\times 6)$

$A=2(18+36+72)$

$A=2(126)$

$A=252$

Therefore, the surface area of the prism is 252 square meters.

3 0

2 years ago

Help me jim! geometry homework

Maksim231197 [3]

Question 1

The angles 52 degrees match up. So if the sides are in proportion, then the triangles are similar.

Notice how 8/12 = 18/27 is a true equation. So the sides are in proportion to one another.

Therefore, the triangles are similar. I used the SAS similarity theorem.

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Question 2

Let's find the missing angle of the triangle on the right. For now, make that missing angle to be x.

Rule: For any triangle, the three angles always add up to 180

x+70+32 = 180

x+102 = 180

x = 180-102

x = 78

The missing angle of the triangle on the left is 78 degrees

Repeat for the other triangle as well

y+78+32 = 180

y+110 = 180

y = 180-110

y = 70

Both triangles have the angles 32, 70, 78 in whatever order you wish.

Since the angles match up like this, the triangles are similar because of the AA Similarity theorem

Technically, we only need 2 pairs of congruent angles at minimum. But having 3 congruent pairs doesn't hurt either.

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Question 3

We have a pair of congruent 54 degree angles shown. There's another pair of angles at the very top that overlap (aka shared angles).

Since we have two pairs of congruent angles, the two triangles are similar.

This time we use the AA Similarity theorem

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Question 4

Let's divide the longest side of the bottom triangle by the longest side of the triangle on top

48/32 = 1.5

Now let's divide the shortest sides of each triangle in the same order

36/24 = 1.5

Repeat for the middle-most sides

45/30 = 1.5

We get the same linear scale factor 1.5 each time. Therefore, the triangles are similar due to the SSS Similarity theorem

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Question 5

Any angle is equal to itself due to the reflexive property. So that will go for reason number 2.

Reason 3 is SAS similarity because we have the sides in proportion (statement 1) and the angles are congruent (statement 2).

3 0

2 years ago

Solve equations using inverse operations HELP NOW!!

aev [14]

Algebra

The inverse of -9n is dividing by -9.

$n = - 5$

4 0

3 years ago

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