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3 years ago

Which concept is used to prove that the opposite sides of a parallelogram are congruent?

Mathematics

2 answers:

Neko [114]3 years ago

7 0

Answer:

congruent triangles

Step-by-step explanation:

You can eliminate useless answers based on their wording. "Similar" anything cannot be used to prove congruence. "Rectangles" will not help you prove congruence of parallelogram sides. The only reasonable choice is ...

congruent triangles

_____

Typically, a diagonal is drawn through the figure, and the two triangles created are shown to be congruent, often by ASA. Then, by CPCTC, sides of the parallelogram are shown to be congruent.

Tresset [83]3 years ago

3 0

Answer: congruent

Step-by-step explanation:

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Vertex A in quadrilateral ABCD lies at (-3, 2). If you rotate ABCD 180° clockwise about the origin, what will be the coordinates

natali 33 [55]

The rule for a rotation by 180° about the origin is (x,y) -->(−x,−y)

So A(-3, 2) to A'(3, -2)

Answer:

A'(3, -2)

4 0

3 years ago

Mr. Flanders’ class sold doughnuts for $1.35 each and Mr.Rodriquez’s class sold cartons of milk for $1.08 each together the clas

saul85 [17]

Answer:

Part A: Let, the number of doughnuts = x and the number of carton milk = y.

Part B: We have, Mr. Flanders sold doughnut for $1.35 each and Mr. Rodriquez sold milk for $1.08 each.

As, they sold 85 items in total.

Thus, x + y = 85.

Moreover, they both earned $104.49 in total.

So, 1.35x + 1.08y = 104.49.

Hence, we get the system of equations,

1.35x + 1.08y = 104.49

x + y = 85.

Part C: Now, we will solve the system of equations,

As, x + y = 85 ⇒ y = 85 - x.

As, 1.35x + 1.08y = 104.49 ⇒ 1.35x + 1.08(85-x) = 104.49 ⇒ 1.35x + 91.8 - 1.08x = 104.49 ⇒ 0.27x = 12.69 ⇒ x = 47.

So, y = 85 - 47 ⇒ y = 38.

Thus, x = 47 and y = 38 is the solution.

Part D: Hence, we get that,

Number of doughnuts sold by Mr. Flanders is 47 and the number of carton milk sold by Mr. Rodriquez is 38.

4 0

2 years ago

Which angles are complementary to each other?

Oksi-84 [34.3K]

Answer:

All apply

Step-by-step explanation:

Complementary angles are ones that total 90°. Here, we have two pairs of congruent angles such that each pair totals 90°. We can mix and match to find pairs of complementary angles.

less than 45°: BGC and EGF

more than 45°: AGB and DGE

A complementary pair will consist of one angle from the first list and one angle from the second list. There are 4 possible pairings, and all are shown as answer choices.

All of the choices apply.

3 0

2 years ago

Form a sequence that has two arithmetic means between 13 and 88.

hichkok12 [17]

Answer:

Correct choice is A

Step-by-step explanation:

For the numbers 13 and 88, find the difference 88-13:

since 88-13=75 and $\dfrac{75}{3}=25$ (two arithmetic means tells you there will be three intervals), two arithmetic means will be

13+25=38;
38+25=63.

The only correct sequence is 13, 38, 63, 88.

7 0

2 years ago

Read 2 more answers

Surface area of a box 12 x 6 x 9.5

Ber [7]

9514 1404 393

Answer:

486 square units

Step-by-step explanation:

Use the surface area formula with the given numbers.

SA = 2(LW +H(L +W))

SA = 2(12·6 +9.5(12 +6)) = 2(72 +9.5(18)) = 486

The surface area of the box is 486 square units.

4 0

3 years ago