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

patriot [66]

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)

4 0

4 years ago

List the factores of 28 Is this number prime or composite

Igoryamba

Twenty eight is composite

28 can be divided by one, by itself and at least by 2 and 7

3 0

2 years ago

Suppose a uniform random variable can be used to describe the outcome of an experiment with the outcomes ranging from 50 to 80.

taurus [48]

Answer:

The correct answer is $\frac{1}{3}$ = 0.33.

Step-by-step explanation:

A uniform random variable is used to describe the outcome of an experiment with the parameters being 50 and 80.

Probability density function = f(x) = $\left \{ {{\frac{1}{b-a} , a$

Here a = 50 and b = 80.

We need to find the value of probability of this given experiment in an outcome less than 60.

∴ P(X<60) = $\frac{60-50}{80-50} = \frac{10}{30} = \frac{1}{3}$ = 0.33.

Thus the required probability is given by 0.33.

7 0

3 years ago

Is -3 a natural number a whole number a integer a rational number or irrational number

BaLLatris [955]

Answer:

-3 is a rational integer.

Step-by-step explanation:

An integer is a superset of the whole numbers that includes the negated values as well as 0.

A rational number is simply anything that can be expressed as a fraction.

-3 is by these definitions, a negated 3, and any non fractional number can be expressed as a fraction.

-3 is not a natural number, as that is the set of numbers {1, 2, 3, 4, 5, ... etc} and -3 is not a whole number, as that is the set of numbers {0, 1, 2, 3, 4, ... etc}.

And -3 is also not an irrational number since it can be expressed as a fraction.

Thus, -3 is a rational integer.

Cheers.

7 0

3 years ago

In the figure, the angles are formed by a transversal and two parallel lines. Which angles are congruent?

RUDIKE [14]

Answer:

A is your correct answer.

1, 3, 5, and 7 are equal to each other and 2, 4, 6, and 8 are equal to each other.

Step-by-step explanation:

Congruent angles are angles that have the same measure. In this example, where two parallel lines are cut by a transversal line, the angles in the same position on the top line and bottom line are congruent. For example, angle 1 and 5 are in the same position, so they have the same measure.

Also, vertical angles (opposite angles, like 5 & 7 in your example) have the same measure.

Please let me know if you have questions about this.

3 0

3 years ago