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TEA [102]
3 years ago
11

Match the statement with the appropriate reason for the proof above. Answers may be used more than once. You will have to fill i

n the blanks for 3
and 9 so you know the reason to match it with, but you are not picking solutions for 3 and 9

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
3 0

Answer:

Step-by-step explanation:

From the given question, the following statements and reasons can be matched;

          Statement                                                Reason

1. <1 and <2 are linear pair                               Given

2. <1 and <2 are supplementary                     Linear pair postulate

3. <1 ≅ <2                                                          

4. <1 ≈ <2                                                           Given

5. m<1 = m<2                                                     Substitution POE

6. m<1 + m<2 = 180^{o}                                          Def of supplementary angles

7. 2(m<1) = 180^{o}                                                  Simplify/ Combine like terms

8. m<1 = 90^{o}                                                        Definition of right angle

9. 2(m<2) = 180^{o}                                        

10. g ⊥ h                                                             Def of perpendicular lines

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Step-by-step explanation:

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3 years ago
Find the volume and surface area of the square pyramid
Montano1993 [528]

The volume and surface area of the pyramid will be 392 / 3 cubic units and 189 square units. Then the correct option is A.

The complete question is attached below.

<h3>What is the volume and surface area of the pyramid? </h3>

Suppose the base of the pyramid has length = L units, width = W units, slant height = K units, and the height of the pyramid is of H units.

Then the volume of the pyramid will be

V = (L × B × H) / 3

The surface area of the pyramid will be

SA = 2(1/2 × B × K) + 2(1/2 × L × K) + (L × B)

Then the volume will be

V = (7 × 7 × 8) / 3

V = 392/3 cubic units

Then the surface area will be

SA = 2(1/2 × 7 × 10) + 2(1/2 × 7 × 10) + (7 × 7)

SA = 189 square units

Then the correct option is A.

More about the volume and surface area of the pyramid link is given below.

brainly.com/question/23302816

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4 0
2 years ago
Someone that can help me out please
MAXImum [283]

Answer: I got 32

Step-by-step explanation:

I got 32

8 0
3 years ago
The high school leadership team is having a car wash. They charge $5.50 for large cars and $4.00 for small cars . They had a suc
11Alexandr11 [23.1K]

Answer: 56 large cars and 86 small cars.

Step-by-step explanation:

Let's call:

l: the number of large cars.

s: the number of small cars.

Then, you can set up the following system of equations:

\left \{ {{l+s=142} \atop {5.50l+4.0s=652.50}} \right.

You can use the Elimination Method:

- Multiply the first equation by -4.0

- Add both equations.

- Solve for l.

\left \{ {{-4.0l-4.0s=-568} \atop {5.50l+4.0s=652.50}} \right.\\--------\\1.5l=84.5

l≈56

Substitute l=56 into one of the original equations and solve for <em>s:</em>

<em> </em>56+s=142\\s=142-56\\s=86

3 0
3 years ago
Four points are always coplanar if check all that apply
Elza [17]
Hey there,

Your question states: <span>Four points are always coplanar if . . .

Your correct answer from the questions above would be </span>they lie in the same place 

The definition of the word \boxed{coplanar} means : In the same place.

So . .Four points are always coplanar if <span>they lie in the same place.

Hope this helps many.

~Jurgen</span>
5 0
3 years ago
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