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3 years ago

Segment AX and Segment EX are secant segments that intersect at point X. What is the length of ED? a. 1 b. 3 c. 6 d. 9

Mathematics

1 answer:

suter [353]3 years ago

6 0

Answer:

B. 3

Step-by-step explanation:

We can use secant theorem.

AX × BX = EX × DX

AX = 7 + 2 = 9

9 × 2 = (3 + x) × 3

18 = 9 + 3x

18 - 9 = 3x

9 = 3x

x = 9/3 = 3

The length of ED is 3 units.

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Pls help with this question

katrin2010 [14]

Answer:

We aren't going to do all your homework for you. That's why no one is answering. If you have one specific question, I can help

Step-by-step explanation:

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3 years ago

quadrilateral WXYZ is reflected across the line y=x to create quadrilateral W’X’Y’Z'. What are the coordinates of quadrilateral

rosijanka [135]

Explanation

We are required to determine the coordinates of W’X’Y’Z' when WXYZ is reflected across the line y = x.

This is achieved thus:

From the image, we can deduce the following:

$\begin{gathered} W(-7,3) \\ X(-5,6) \\ Y(-3,7) \\ Z(-2,3) \end{gathered}$

We know that the following reflection rules exist:

Therefore, we have:

$\begin{gathered} (x,y)\to(y,x) \\ W(-7,3)\to W^{\prime}(3,-7) \\ X(-5,6)\to X^{\prime}(6,-5) \\ Y(-3,7)\to Y^{\prime}(7,-3) \\ Z(-2,3)\to Z^{\prime}(3,-2) \end{gathered}$

Hence, the answers are:

$\begin{gathered} \begin{equation*} W^{\prime}(3,-7) \end{equation*} \\ \begin{equation*} X^{\prime}(6,-5) \end{equation*} \\ \begin{equation*} Y^{\prime}(7,-3) \end{equation*} \\ \begin{equation*} Z^{\prime}(3,-2) \end{equation*} \end{gathered}$

This is shown in the graph bwlow for further undertanding:

3 0

11 months ago

Suppose that it rains in Spain an average of once every 10 days, and when it does, hurricanes have a 8% chance of happening in H

Law Incorporation [45]

Answer:

The probability that it rains in Spain when hurricanes happen in Hartford is 0.1127

Step-by-step explanation:

This is a question where you use must use Bayes' Theorem.

The easiest way to do Bayes' type questions is to carefully define your terms.

Let R be the event that it is raining in Spain. R' is the event it isn't.

Let H be the event that it is hurricane in Hartford. H' is the event it isn't.

We know

P(R) = 1/10,

P(H | R) = 0.08,

P(H | R') = 0.07 and we want P(R | H).

Bayes Theorem says P(R | H) = [P(H | R)×P(R)] / P(H)

where

P(H) = P(H | R)×P(R) + P(H | R')×P(R')

Therefore,

P(R | H) = [P(H | R)×P(R)] / [P(H | R)×P(R) + P(H | R')×P(R')]

P(R | H) = [0.08 × 1/10] / [(0.08 × 1/10) + (0.07 × (1 - 1/10)]

P(R | H) = 8 / 71

P(R | H) = 0.1127

Therefore, the probability that it rains in Spain when hurricanes happen in Hartford is 0.1127.

7 0

3 years ago

The sum of 9 times a number and 5 equals 2

kykrilka [37]

Answer:

9X + 5 = 2

9X = 2 - 5

9X = -3

X = -3/9

X = -1/3

6 0

3 years ago

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Find the distance that 5,2 is from the origin

vladimir2022 [97]

Answer:

Step-by-step explanation:feel pleasure to help u.

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2 years ago