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Dominik [7]
3 years ago
9

Write an indirect proof to show that opposite sides of a parallelogram are congruent. Be sure to create and name the appropriate

geometric figures.
Mathematics
1 answer:
MaRussiya [10]3 years ago
8 0
So the problem ask to find an indirect proof to show that opposite sides of a parallelogram are congruent. So if we want to prove that a rectangle has a vertexes of ABCD where as to prove that AB=CD, lets start by proving it using AB is not equal to CD nad forming a parallelogram and the lines that bisect each side can prove that AB=CD
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Billy was counting the number of wheels and bike seats at the playground. He saw tricycles and bicycles. He counted 79 wheels an
mart [117]
I think the answer is 25.5. Although, I don't know how you would have half a bike unless there was a 3 wheel bike which would make the answer 24.
7 0
4 years ago
50 Points!!
____ [38]

Answer:

a) g(x) = f(x) + 3

So g(x) is a vertical translation of f(x), 3 units upwards

b) g(x) = 3x² - 1 + 3

g(x) = 3x² + 2

The graph has shifted 3 units upwards, so has the vertex.

The vertex of f is (0,-1)

Whereas the vertex of g is (0,2)

-1 + 3 = 2

8 0
3 years ago
Indicate all possible values for the variable in each of the expressions: sqrt(2x+2)+sqrt(6-4x)
IrinaK [193]

Answer:

<u>Given expression:</u>

  • \sqrt{2x+2}+\sqrt{6-4x}

<u>The first root is valid when:</u>

  • 2x + 2 ≥ 0 ⇒ 2x ≥ - 2 ⇒ x ≥ - 1

<u>The second root is valid when:</u>

  • 6 - 4x ≥ 0 ⇒ 4x ≤ 6 ⇒ x ≤ 1.5

<u>So the variable x can get values within interval:</u>

  • -1 ≤ x ≤ 1.5 or
  • x = [-1, 1.5]
3 0
3 years ago
Riley has a farm on a rectangular piece of land that is 200200200 meters wide. This area is divided into two parts: A square are
777dan777 [17]

Answer:

The inequality that models the situation for her to have money to save is

7L² > 3(200L - L²)

On simplifying and solving,

L > 60 meters

Step-by-step explanation:

The length of her farm = L meters

The farm where she grows avocados is of square dimension

Area of the farm = L × L = L²

The piece of land is 200 m wide.

Total area of the piece of land = 200 × L = (200L) m²

If the area of her farm = L²

Area of the side where she lives will be

(Total area of the land) - (Area of the farm)

= (200L - L²)

= L(200 - L)

Every week, Riley spends $3 per square meter on the area where she lives, and earns $7 per square meter from the area where she grows avocados.

Total amount she earns from the side she grows the avocados = 7 × L² = 7L²

Total amount she spends on the side where she lives = 3 × (200L - L²) = 3(200L - L²)

For her to save money, the amount she earns must be greater than the amount she spends, hence the inequality had to be

(Amount she earns) > (Amount she spends)

7L² > 3(200L - L²)

To simplify,

7L² > 3L(200 - L)

Since L is always positive, we can divide both sides by L

7L > 3(200 - L)

7L > 600 - 3L

10L > 600

L > 60 meters

Hope this Helps!!!

7 0
4 years ago
If a cat catches 120 mice in 30 days,how many mice does it catch in 5 days?​
Elanso [62]

Answer:

ITS 24

Step-by-step explanation:

divide it 120÷4=24

7 0
3 years ago
Read 2 more answers
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