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## Work out the length of BD in the diagram below

To determine the length of BDBD in the diagram, we can use the fact that triangles △CDE\triangle CDE and △CBA\triangle CBA are similar. In similar triangles, corresponding sides are proportional. The lengths given in the diagram are: CD=3 cmCD = 3 \, \text{cm} CE=6 cmCE = 6 \, \text{cm} EA=15 cmEA =Read more

To determine the length of $BDBD$ in the diagram, we can use the fact that triangles $\mathrm{\u25b3}CDE\backslash triangle\; CDE$ and $\mathrm{\u25b3}CBA\backslash triangle\; CBA$ are similar. In similar triangles, corresponding sides are proportional.

The lengths given in the diagram are:

Since $CECE$ and $CACA$ are corresponding sides, and $CDCD$ and $CBCB$ are also corresponding sides, we can set up the proportion:

$\frac{CD}{CB}=\frac{CE}{CA}\backslash frac\{CD\}\{CB\}\; =\; \backslash frac\{CE\}\{CA\}$CBCD=CACE

Since $CA=CE+EA=6+15=21\hspace{0.17em}cmCA\; =\; CE\; +\; EA\; =\; 6\; +\; 15\; =\; 21\; \backslash ,\; \backslash text\{cm\}$, we can substitute the values:

$\frac{3}{BD}=\frac{6}{21}\backslash frac\{3\}\{BD\}\; =\; \backslash frac\{6\}\{21\}$

Solving this proportion will give us the length of $BDBD$.

Let’s calculate:

$BD=\frac{3\times 21}{6}=\frac{63}{6}=10.5\hspace{0.17em}cm$

So, the length of $BDBD$ is

See less10.5 cm.## Based on the lesson, what is not true about medieval Islamic art?

The correct answer is b. Paintings always showed people. Medieval Islamic art typically avoided depicting people, especially in religious contexts, focusing instead on geometric patterns, calligraphy, and intricate designs.

The correct answer is

b. Paintings always showed people.Medieval Islamic art typically avoided depicting people, especially in religious contexts, focusing instead on geometric patterns, calligraphy, and intricate designs.

See less## Observing the functions f(x)=4x+3

Over the interval [3, 6], the average rate of change of gg is greater than the average rate of change of ff. As the value of xx increases, the average rates of change of ff and gg remain constant and increase, respectively. When the value of xx is equal to 7, the value of g(x)g(x) will exceed the vaRead more

Over the interval [3, 6], the average rate of change of $gg$ is greater than the average rate of change of $ff$.As the value of $xx$ increases, the average rates of change of $ff$ and $gg$remain constantandincrease, respectively.When the value of $xx$ is equal to 7, the value of $g\left(x\right)g(x)$will exceedthe value of $f\left(x\right)f(x)$.It can be further generalized that a quantity increasing exponentially will eventually exceed a quantity increasing linearly.## Your shift's productivity is slow because one person isn’t doing his share. The rest of the team is getting upset.

Most likely: "Ask your struggling coworker if there’s any way you can help because he seems slower today." This shows empathy and teamwork, which can help resolve the issue constructively. Least likely: "Tell your struggling teammate to work faster because he’s holding back the team." This could beRead more

Most likely: “Ask your struggling coworker if there’s any way you can help because he seems slower today.” This shows empathy and teamwork, which can help resolve the issue constructively.Least likely: “Tell your struggling teammate to work faster because he’s holding back the team.” This could be seen as confrontational and might not improve team morale.## A coworker didn’t clean his work area before going home

A good approach might be to most likely "Tell him he should be more careful because his work area could have caused an accident," which is constructive and maintains safety awareness without escalating the issue. Least likely might be "Let him know you cleaned up his work area and that he owes you aRead more

most likely“Tell him he should be more careful because his work area could have caused an accident,” which is constructive and maintains safety awareness without escalating the issue.Least likelymight be “Let him know you cleaned up his work area and that he owes you a favor,” as it can come across as passive-aggressive or self-serving.## A coworker didn’t clean his work area before going home

A good approach might be to most likely "Tell him he should be more careful because his work area could have caused an accident," which is constructive and maintains safety awareness without escalating the issue. Least likely might be "Let him know you cleaned up his work area and that he owes you aRead more

most likely“Tell him he should be more careful because his work area could have caused an accident,” which is constructive and maintains safety awareness without escalating the issue.Least likelymight be “Let him know you cleaned up his work area and that he owes you a favor,” as it can come across as passive-aggressive or self-serving.## Identify the arrows that show removal of thermal energy when matter changes state

To identify the arrows that represent the removal of thermal energy when matter changes state, we look for changes that suggest a cooling process (going from gas to liquid or liquid to solid). In this case: The arrow pointing from the gaseous state (far right) to the liquid state (middle) representsRead more

To identify the arrows that represent the removal of thermal energy when matter changes state, we look for changes that suggest a cooling process (going from gas to liquid or liquid to solid).

In this case:

Therefore, both arrows pointing left (from gas to liquid and from liquid to solid) show the removal of thermal energy during changes in the state of matter.

See less## The equation for line c can be written as y=−7/3x+4

Solution: Since line ddd is perpendicular to line cc, the slope of line dd will be the negative reciprocal of the slope of line ccc. Slope of c=−37c = -\frac{3}{7} Slope of d=73d = \frac{7}{3} We use the point-slope form of the equation y−y1=m(x−x1)y - y_1 = m(x - x_1), where mmm is the slope andRead more

## Solution:

$y-4=\frac{7}{3}(x-2)y\; \u2013\; 4\; =\; \backslash frac\{7\}\{3\}(x\; \u2013\; 2)$

$y-4=\frac{7}{3}x-\frac{14}{3}y\; \u2013\; 4\; =\; \backslash frac\{7\}\{3\}x\; \u2013\; \backslash frac\{14\}\{3\}$

$y=\frac{7}{3}x-\frac{14}{3}+\frac{12}{\mathrm{3}}$$y=\frac{7}{3}x-\frac{2}{\mathrm{3}}$

## Answer:

The equation of line $dd$d in slope-intercept form is:

$y=\frac{7}{3}x-\frac{2}{3}$

See less## Define sensitive compartmented information

The correct answer is A: The sundial showed that the emperor knew the workings of the sun and moon. Sensitive Compartmented Information (SCI) refers to classified information that is related to national security and is controlled within formal access control systems established by the U.S. governmenRead more

The correct answer is

A: The sundial showed that the emperor knew the workings of the sun and moon.Sensitive Compartmented Information (SCI) refers to classified information that is related to national security and is controlled within formal access control systems established by the U.S. government. This type of information is divided into specific compartments to limit access to individuals who have the necessary security clearance and a specific “need to know” within those compartments.

See less## How does your perspective as a reader about the lottery change over the course of the story?

1. Initial Innocence and Normalcy At the start, the story presents a small town gathering on a sunny summer day. Children are playing, and townspeople are talking, which gives the impression of a normal, possibly joyful, event. The idea of a "lottery" often carries positive connotations, associatedRead more

## 1.

Initial Innocence and NormalcyAt the start, the story presents a small town gathering on a sunny summer day. Children are playing, and townspeople are talking, which gives the impression of a normal, possibly joyful, event. The idea of a “lottery” often carries positive connotations, associated with winning prizes, and Jackson’s calm, descriptive opening suggests that this is a routine, harmless community event.

Moment of change:As the townspeople prepare for the lottery, there’s an underlying sense of nervousness, though the reason is unclear. Mentions of the “black box” and the seriousness with which the ritual is handled introduce a slight discomfort, though the exact nature of the event is still ambiguous. The use of stones by the children is presented casually, but in hindsight, it hints at something more sinister.## 2.

Suspense and UneaseThe tone of the story starts to shift when the townspeople seem uneasy about participating, and there are subtle comments about the ritual, like Old Man Warner’s insistence on the importance of keeping the lottery going. The reluctance of the people and their brief mention of neighboring towns abandoning the practice adds to the growing tension. This suggests that what’s happening is not a simple game or celebration but something deeper and darker.

Moment of change:When the process of drawing slips of paper from the black box begins, the mood shifts from casual to tense. The way the people react, with quiet anxiety, and the formality of the proceedings signal that this lottery is far more than it initially seemed.## 3.

Revelation of the Ritual’s True PurposeThe final shift in perspective occurs once Tessie Hutchinson “wins” the lottery. The brutal truth of the ritual is revealed when the townspeople—including her own family—turn on her, preparing to stone her to death. This violent outcome contrasts sharply with the initial depiction of a quaint, friendly village, leaving the reader shocked by the contrast between the community’s normalcy and their capacity for cruelty.

Moment of change:Tessie’s desperate protests of “It isn’t fair!” mark the turning point for the reader, as the lottery’s purpose—sacrificial violence disguised as tradition—comes into focus. The earlier casualness with which the event was treated is revealed to be part of the community’s desensitization to the horror of their actions.## Final Perspective

By the end, the reader’s perspective has shifted from viewing the lottery as an ordinary event to seeing it as a deeply unsettling critique of societal tradition and the dangers of blind conformity. The calmness with which the townspeople accept the violence shocks the reader and forces reflection on how harmful practices can be normalized in any society if they are left unquestioned.

See less## What is a parent loan Everfi answer?

A parent loan refers to a type of loan taken out by a parent to help pay for their child's education. Typically, this loan is in the parent's name and requires them to be responsible for repaying it, even though it is intended to help cover the child's educational expenses. In the U.S., a common exaRead more

A

See lessparent loanrefers to a type of loan taken out by a parent to help pay for their child’s education. Typically, this loan is in the parent’s name and requires them to be responsible for repaying it, even though it is intended to help cover the child’s educational expenses. In the U.S., a common example is theParent PLUS Loan, a federal loan available to parents of dependent undergraduate students.## Suppose you were writing a summary of the article. Which of these would be most important to put in the summary?

The most important detail to include in a summary of the article would be: "Details behind the scenes help make Disney theme parks feel magical." This point encompasses the overall theme of behind-the-scenes efforts that contribute to the magical experience at Disney parks, while the other options aRead more

The most important detail to include in a summary of the article would be:

“Details behind the scenes help make Disney theme parks feel magical.”This point encompasses the overall theme of behind-the-scenes efforts that contribute to the magical experience at Disney parks, while the other options are more specific examples.

See less## Of the 6 astronauts in the space program, 3 are in outer space

There are 6 astronauts in total, 3 of whom are in outer space. Therefore, 3 astronauts are on Earth. The ratio of the number of astronauts on Earth to the number of astronauts in outer space is: 3/3, which simplifies to 1/1.

There are 6 astronauts in total, 3 of whom are in outer space. Therefore, 3 astronauts are on Earth.

The ratio of the number of astronauts on Earth to the number of astronauts in outer space is:

See less3/3, which simplifies to1/1.## Barry gets hurt at work and must go on disabililty for 4 months. On disability, the pay that Barry receives is 60% of his normal net pay. Barry should be fine if he has a plan for

Barry gets hurt at work and must go on disabililty for 4 months. On disability, the pay that Barry receives is 60% of his normal net pay. Barry should be fine if he has a plan for managing his liquidity.

Barry gets hurt at work and must go on disabililty for 4 months. On disability, the pay that Barry receives is 60% of his normal net pay. Barry should be fine if he has a plan for

See lessmanaging his liquidity.