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Trava [24]
3 years ago
8

A quadrilateral must be a parallelogram if two the opposite sides are 1. Congruent only 2. Parallel only 3. Congruent and parall

el 4 parallel and the other two sides are congruent
Mathematics
1 answer:
Kobotan [32]3 years ago
7 0

Answer:

what’s the question

Step-by-step explanation:

1. Opposite Sides Theorem Converse: If both pairs of opposite sides of a quadrilateral are congruent, then the figure is a parallelogram. 2. Opposite Angles Theorem Converse: If both pairs of opposite angles of a quadrilateral are congruent, then the figure is a parallelogram.

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If the diagonal of a square is approximately 12.73, what is the length of its sides?
Alja [10]

Answer:

The length of the sides of the square is 9.0015

Step-by-step explanation:

Given

The diagonal of a square = 12.73

Required

The length of its side

Let the length and the diagonal of the square be represented by L and D, respectively.

So that

D = 12.73

The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:

D^{2} = L^{2} + L^{2}

Solving further, we have

D^{2} = 2L^{2}

Divide both sides by 2

\frac{D^{2}}{2} = \frac{2L^{2}}{2}

\frac{D^{2}}{2} = L^2

Take Square root of both sides

\sqrt{\frac{D^{2}}{2}} = \sqrt{L^2}

\sqrt{\frac{D^{2}}{2}} = L

Reorder

L = \sqrt{\frac{D^{2}}{2}}

Now, the value of L can be calculated by substituting 12.73 for D

L = \sqrt{\frac{12.73^{2}}{2}}

L = \sqrt{\frac{162.0529}{2}}

L = \sqrt{{81.02645}

L = 9.001469325

L = 9.0015 (Approximated)

Hence, the length of the sides of the square is approximately 9.0015

7 0
3 years ago
How many pensioners should be in the sample
DENIUS [597]

Answer:

12

Step-by-step explanation:

6 0
4 years ago
If the simple interest on $5,000 for 4 years is $1,600, then what is the interest rate?
matrenka [14]

Answer:

0.08, or 8%

Step-by-step explanation:

The appropriate formula is i = p*r*t, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.

We want to calculate r when i, p and t are known.

                                                           i

Solving i = p*r*t for r, we get r = ------------

                                                       p*t

The interest rate in this case is

        $1600

r = ---------------- = 0.08, or 8%

      $5000*4

8 0
3 years ago
10 POINTS!! Brainliest!<br> Find the volume of the prism. Round to the nearest tenth if necessary.
il63 [147K]

Answer:

308 cm³

Step-by-step explanation:

The volume (V) of a rectangular prism ( cuboid ) is

V = lbh ( l is the length, b the breadth and h the height )

Here l = 11, b = 7 and h = 4, thus

V = 11 × 7 × 4 = 308 cm³

6 0
3 years ago
PLEASE HURRY!!!!!<br> EXPLAIN why or why not.
Sladkaya [172]

Answer:

The graph is not a line of best fit as there are not an equal number of data points on each side of the line

Step-by-step explanation:

Brainliest would be appreciated

3 0
2 years ago
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