All categories

2 years ago

Given: Quadrilateral ABCD is a kite.

Mathematics

2 answers:

Leni [432]2 years ago

8 0

Answer:

Step-by-step explanation:

One

The definition of a kite.

Two

Perpendicular. The diagonals meet at right angles

Three

I don't know if the term is still used, but when I first learned this material (many years ago) we called it the reflexive property.

Four

You found out that <AED = <CED which established that both are right angles. The problem is, you do not have enough information to prove SAS.

AAS is never a dependable reason for proving anything conguent.

HL is really your only choice.

Dimas [21]2 years ago

4 0

Answer:

1 kite.

2 Perpendicular.

3 Reflexive

4HL

These are correct according to my math.

Step-by-step explanation:

You might be interested in

Steven has 20 tickets to use at the carnival. Jared has 4 tickets to use at the carnival. How many times as much is the amount o

sesenic [268]

5 times the amount pretty sure

5 0

1 year ago

A committee of 15 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the pr

Igoryamba

Answer:

0.006% probability that the final vote count is unanimous.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Random voting:

So 50% of voting yes, 50% no, so $p = 0.5$

15 members:

This means that $n = 15$

What is the probability that the final vote count is unanimous?

Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

$p = P(X = 0) + P(X = 15)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{15,0}.(0.5)^{0}.(0.5)^{15} = 0.00003$

$P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003$

$p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006$

0.006% probability that the final vote count is unanimous.

7 0

1 year ago

14. Marian wants to buy a double scoop of ice cream. The ice cream shop has 23 flavours, which can be served in a regular cone,

aksik [14]

Answer:

Marian can order 1,771 combinations

Step-by-step explanation:

In this question, we are interested in calculating the number of combinations Marian can order given that there are 23 flavors that can be served in three ways.

Mathematically, the number of combinations that can be ordered is simply 23C3

This is equal to 23!/(23-3)!3! = 23!/20!3! = 1,771

The number of combinations she can order is thus 1,771 combinations

3 0

2 years ago

Mick completes a total of 5 assessments for his course. He gets these marks 56,42,47,59,48. Mike needs an average mark of 50 or

Mars2501 [29]

To find the average assessment, add the 5 grades together, then divide by the quantity of grades added together (in this case 5).

=56 + 42 + 47 + 59 + 48
=252

=252 ÷ 5
=50.4 average

ANSWER: Yes, he passes his course with an average grade of 50.4.

Hope this helps! :)

4 0

2 years ago

Three-fourths of the difference of a number and 7 is negative fifteen. The number is _______

Vsevolod [243]

Answer:

x = -13

Step-by-step explanation:

Let the number be x. ATQ,

$\dfrac{3}{4}(x-7)=-15$

The above equation shows Three-fourths of the difference of a number and 7 is negative fifteen. We need to find the number.

cross multiplying both sides,

$3(x-7)=-60\\\\x-7=-20\\\\x=-20+7\\\\x=-13$

So, the number is -13.

4 0

2 years ago