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3 years ago

A certain polygon has its vertices at the following points.

Mathematics

2 answers:

Step2247 [10]3 years ago

5 0

Answer:

Step-by-step explanation:

Paul [167]3 years ago

3 0

Answer:

$\huge\boxed{\sf Rhombus}$

Step-by-step explanation:

When we plot the given vertices on a graph, We get a shape which has the following characteristics.

=> Opposite angles are equal.

=> The diagonals are perpendicular to each other.

=> Opposite sides are parallel to each other.

=> Sum of adjacent angles in equal to 90 degrees.

But, the shape does not seem to be like pentagon, square and rectangle. Hence, It's a rhombus.

See the attached file!

$\rule[225]{225}{2}$

Hope this helped!

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Solve 42 div 3 using an area model

ololo11 [35]

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3 years ago

. A building in the shape of a rectangular prism needs to be painted. Some facts about the building are shown below. The buildin

Softa [21]

Answer:

(2)(120)(80) + (2)(120)(50) - (4)(60)(5²)

Step-by-step explanation:

The lateral faces of the building are the 4 sides of the building consisting:

2 rectangles of 120 ft by 80 ft

Area of the two rectangular faces = (2)(120)(80)

And

2 rectangles of 120 ft by 50 ft

Area of the two rectangular faces = (2)(120)(50)

✔️Total lateral surface area of the building = (2)(120)(80) + (2)(120)(50)

Note: we are asked to find the expression that represents the total surface area that needs to be painted given that there are 60 windows on each lateral face of the building of the shape of a square with side lengths of 5 ft.

Therefore, the total lateral surface area of the building that will be painted = total lateral surface of the building - total area covered by the 60 windows on each face of the building

Surface area covered by 60 windows in the 4 lateral face of the building = (4)(60)(5²)

✅total lateral surface area of the building that will be painted = (2)(120)(80) + (2)(120)(50) - (4)(60)(5²)

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2 years ago

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grin007 [14]

Answer:

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Step-by-step explanation:

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3 years ago

Let p, q, and r represent the following statements"

Nitella [24]

In logic, own symbols are used in order to be able to represent the relations between propositions in a general and independent way to the proposition, in order to be able to find the relationship process that operates in the communicated message, the propositional logic.

For this purpose there are, among others, the following logical operators: conjunction (and) ∧, disjunction (or) ∨, denial (not) ¬, conditional (if - then) ⇒ and double conditional (if and only if, iff) ⇔.

So for this case we have:

Answer

a) Sam had pizza last night if and only if Chris finished her homework.

p⇔q

b) Pat watched the news this morning iff Sam did not have pizza last night.

r⇔¬p

c) Pat watched the news this morning if and only if Chris finished her homework and Sam did not have pizza last night.

r⇔(q∧¬p)

d) In order for Pat to watch the news this morning, it is necessary and sufficient that Sam had pizza last night and Chris finished her homework.

r⇔(p∧q)

e) <em>q ⇔ r</em>

Chris finished his homework if and only if Pat watched the news this morning

f) <em>p ⇔ (q ∧ r)</em>

Sam had pizza last night if and only if Chris finished his homework and Pat watched the news this morning

g) <em>(¬p) ⇔ (q ∨ r) </em>

Sam didn't have pizza last night if and only if Chris finished his homework or Pat watched the news this morning

h) <em>r ⇔ (p ∨ q) </em>

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3 years ago

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Nadusha1986 [10]

Largest exponent in a polynomial is called it’s Degree

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3 years ago

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