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dem82 [27]
3 years ago
10

The proof shows that ABCD is a rectangle. Which of the following is the missing reason?

Mathematics
1 answer:
patriot [66]3 years ago
4 0

Answer:

Side-side-side postulate

Step-by-step explanation:

In the first statement, we are given that AC = BD ....... (1){It is given}

Now, in the second statement, we are given that AB = DC ...... (2){ Because the parallelogram has equal opposite sides}

Now, again we are given that AD = DA ........... (3) {From the symmetric property}

Now, conditions (1), (2), and (3) are applicable to say that Δ ABD and Δ ACD are congruent.

Since there are three sides involved to say Δ ABD ≅ Δ ACD, so it is by Side-side-side postulate. (Answer)

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A storage shed is to be built in the shape of a (closed) box with a square base. It is to have a volume of 150 cubic feet. The c
Alenkinab [10]

Answer:

C(s) = 6s^2 + \dfrac{1500}{s}\\\text{where s is the side of base.}

Step-by-step explanation:

We are given the following in the question:

A storage shed is to be built in the shape of a (closed) box with a square base.

Volume = 150 cubic feet

Let s be the edge of square base and h be the height.

Volume of cuboid =

l\times b\times h

where l is the length, b is the base and h is the height.

Volume of box =

s^2h = 150\\\\h = \dfrac{150}{s^2}

Area of base =

\text{side}\times \text{side} = s^2

Cost of concrete for the base = $4

Cost of base($) = 4s^2

Area of roof =

\text{side}\times \text{side} = s^2

Cost of material for the roof = $2

Cost of roof ($) = 2s^2

Area of 4 walls =

4\times (sh)\\=4sh

Cost of material for the side = $2.50

Cost of material of side($) =

2.50\times 4s(\dfrac{150}{s^2})\\\\=\dfrac{1500}{s}

Total cost

= Cost of base + Cost of 4 sides + Cost of roof

C(s) = 4s^2 + \dfrac{1500}{s} + 2s^2\\\\C(s) = 6s^2 + \dfrac{1500}{s}

is the required cost function.

5 0
3 years ago
What is 14.1% of the 132 mL rounded to the nearest 10th
Anastasy [175]
132 x 14.1% = 18.612


So 18.612 rounded to 18.6
5 0
3 years ago
Math
Snezhnost [94]

\qquad \qquad\huge \underline{\boxed{\sf Answer}}

Here's the solution ~

\qquad \sf  \dashrightarrow \: 7.2 + (2x + 0.4)

\qquad \sf  \dashrightarrow \: 7.2 + 2x + 0.4

\qquad \sf  \dashrightarrow \: 7.2 +0.4 + 2x

\qquad \sf  \dashrightarrow \: (7.2 +0.4) + 2x

Therefore, the correct choice is A

3 0
2 years ago
Read 2 more answers
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Gelneren [198K]

Answer:

4

Step-by-step explanation:

Hurley drank between 4 and 5 liters of water for 8 different days and drank between 1 or 2 liters of water on 4 different days. To find the answer we have to use the following equation.

# of days Hurley drank (4-5 L) - # of days Hurley drank (1-2 L) = # of more days

8 - 4 = 4

4 0
3 years ago
What is the solution of the system? Use the elimination method. 2x+y=20 6x?5y=12
Whitepunk [10]

Answer:

(22, - 24)

Step-by-step explanation:

Multiply the first equation by -5 to make the y's so you can add the up to zero.

-5(2x + y = 20)

-10x - 5y = -100  Add the second equation thn solve for x

<u> 6x + 5y = 12  </u>

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x = 22

Plug 22 in for x in either equation

2x + y = 20

2 (22) + y = 20

44 + y = 20

y = -24

3 0
3 years ago
Read 2 more answers
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