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koban [17]
3 years ago
8

What is the length of BD?

Mathematics
2 answers:
Drupady [299]3 years ago
8 0

Answer:

9 units

Step-by-step explanation:

Ket [755]3 years ago
4 0

Answer: BD = 9 units

Step-by-step explanation:

ABQ and CDQ are congruent triangles. That means their angle measures are the same but their lengths may be proportional.

19.2 / 32 = 0.6

15 * 0.6 = 9

So the length of side BD is 9 units.

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I need help on this Pythagorean Theorem question would be nice if somebody helped quick
lina2011 [118]

Answer:

Step-by-step explanation:

5^2 + 5^2 = x^2

25 + 25 = x^2

50 = x^2

\sqrt{50} = x,   5\sqrt{2}

x = approximately 7.07

8 0
2 years ago
Read 2 more answers
If the probability that a chef likes carrots is 0.13, the probability of those who like broccoli is 0.72, and the probability of
rosijanka [135]

Taking into account definition of probability, the probability of those who like both is 0.07 or 7%.

<h3>Definition of Probabitity</h3>

Probability is the greater or lesser possibility that a certain event will occur.

In other words, the probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.

<h3>Union of events</h3>

The union of events, AUB, is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs. AUB is read as "A or B".

The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:

P(A∪B)= P(A) + P(B) -P(A∩B)

where the intersection of events, A∩B, is the event formed by all the elements that are, at the same time, from A and B. That is, the event A∩B is verified when A and B occur simultaneously.

<h3>Complementary event</h3>

A complementary event, also called an opposite event, is made up of the inverse of the results of another event. That is, That is, given an event A, a complementary event is verified as long as the event A is not verified.

The probability of occurrence of the complementary event A' will be 1 minus the probability of occurrence of A:

P(A´)= 1- P(A)

<h3>Events and probability in this case</h3>

In first place, let's define the following events:

  • C: The event that a chef likes carrots.
  • B: The event that a a chef likes broccoli.

Then you know:

  • P(C)= 0.13
  • P(B)= 0.72

In this case, considering the definition of union of events, the probability that a chef likes carrots and broccoli is calculated from:

P(C∪B)= P(C) + P(B) -P(C∩B)

Then, the probability that a chef likes carrots and broccoli is calculated as:

P(C∩B)= P(C) + P(B) -P(C∪B)

In this case, considering the definition of the complementary event and its probability, the probability that a chef likes NEITHER of carrots and broccoli is calculated as:

P [(C∪B)']= 1- P(C∪B)

In this case, the probability of those who like neither is 0.22

0.22= 1 - P(C∪B)

Solving

0.22 - 1= - P(C∪B)

-0.78= - P(C∪B)

- (-0.78)= P(C∪B)

<u><em>0.78= P(C∪B)</em></u>

Now, remembering that P(C∩B)= P(C) + P(B) -P(C∪B), you get:

P(C∩B)= 0.13 + 0.72 -0.78

Solving:

P(C∩B)= 0.07=  7%

Finally, the probability of those who like both is 0.07 or 7%.

Learn more about probability:

brainly.com/question/25839839

brainly.com/question/26038361

#SPJ1

6 0
1 year ago
Find the value of x. 6+3x and x+14?
LenaWriter [7]
Simplifying
x + 6 = 3x + -14

Reorder the terms:
6 + x = 3x + -14

Reorder the terms:
6 + x = -14 + 3x

Solving
6 + x = -14 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
6 + x + -3x = -14 + 3x + -3x

Combine like terms: x + -3x = -2x
6 + -2x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -2x = -14 + 0
6 + -2x = -14

Add '-6' to each side of the equation.
6 + -6 + -2x = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -14 + -6
-2x = -14 + -6

Combine like terms: -14 + -6 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10
6 0
3 years ago
Read 2 more answers
Does the order in which you add two integers with the same sign affect the sum
kondor19780726 [428]
If you add positive 5 and positive 5, you'll get positive 10.
If you add positive 5 and negative 5, you'll get positive 0.
If you add negative 5 and negative 5, you'll get negative 10.

-5 + 5 = -5 + 5
5 + 5 = 5 + 5
- 5 + -5 = -5 + -5

Does that help your question?
6 0
3 years ago
Richard’s checking account balance was $57.34 at the beginning of the week. During the week, he recorded the transactions below.
Tomtit [17]

Answer:

US$ 132.45

Step-by-step explanation:

See attachment for the missing table.

Given:

Richard’s checking account balance at the beginning of the week = $57.34

<u>Richard’s account balance at the end of the week from the given table:</u>

Deposits of the week = US$ 163.75

Expenses of the week = Groceries + Credit card bill + Gas

Expenses of the week = 25.37 + 50 + 13.27

Expenses of the week = US$ 88.64

Richard’s account balance at the end of the week = Richard’s checking account balance at the beginning of the week + Deposits of the week - Expenses of the week

Replacing with the real values:

Richard’s account balance at the end of the week = 57.34 + 163.75 - 88.64

                                                                                    =US$ 132.4

7 0
3 years ago
Read 2 more answers
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