To determine which statement is NOT true regarding triangle congruence, we need to understand what each theorem signifies:

1. SSS (Side-Side-Side) Theorem: States that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
2. AAS (Angle-Angle-Side) Theorem: States that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.
3. ASA (Angle-Side-Angle) Theorem: States that if two angles and the included side of one triangle are equal to two angles and the corresponding included side of another triangle, the triangles are congruent.
4. Rigid Motion: This refers to transformations such as translations, rotations, and reflections that maintain the shape and size of the figure.

If a diagram shows triangles that meet the criteria for SSS, AAS, or ASA, then those statements would be true. If any of these conditions are not met, the corresponding statement would be false.

Typically, one of these statements may not hold depending on the given conditions in the diagram (e.g., providing only two angles without the necessary corresponding sides could invalidate AAS).

Without the specific information from the diagram, I suggest reviewing it for side lengths and angle measures to identify which congruence condition is not satisfied.

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To determine the truth of a statement based on the given information, we need to analyze the provided data about the two triangles, PL and ΔEHN.

1. The perimeter of ΔEHN is given as 40 units.
2. The lengths and angles concerning triangle PL are given, particularly m∠P = 61°.

However, without seeing the diagram or more specific statements to evaluate, we can’t conclude which statement might be true. We know that angles within a triangle sum up to 180°, so we could potentially calculate other angles or sides if we had more information.

If you have a specific statement to evaluate, please provide it. If you need further assistance on any related topics, feel free to ask!

To determine which statement is true based on the information provided, let’s look at the details:

1. PL = 21 units: This gives us the length of one side.
2. Perimeter of ΔEHN = 40 units: This allows us to understand the total length of all three sides of triangle EHN.
3. m∠P = 61° and m∠H = 82°: These angles can help us understand the relationship in the triangles.

To find a true statement without any specific statements given, we can conclude that:

– The angles within a triangle add up to 180 degrees. Given that m∠P and m∠H are 61° and 82° respectively, the third angle (let’s call it m∠E) can be found as follows:

m∠E = 180° – (m∠P + m∠H)

m∠E = 180° – (61° + 82°)

m∠E = 180° – 143°

m∠E = 37°

Thus, one correct statement would be that the measure of angle E (m∠E) is 37°.

To summarize, without specific statements, we can conclude about the angles in triangle EHN. If you have particular statements to evaluate, feel free to share!

To determine the correct definition of integrity used in the paragraph from Passage 2, we need to consider the context provided in that passage. Typically, integrity refers to maintaining moral principles or soundness in character.

Based on the options provided, the definition that best fits the meaning of integrity, especially in a moral context, is:

o firm adherence to moral or artistic codes and values.

This definition captures the essence of integrity as it relates to ethical behavior and the consistency of actions with principles.

If you need further clarification or additional help, feel free to ask!

The correct answer is A. game idea.

Explanation: The phrase “game idea” helps clarify the meaning of the word “concept” by indicating that the concept is the foundational idea that inspired the game. In this context, “concept” refers to the original thought behind the game of Floor Is Lava, which is linked to the idea of kids using furniture to play.

The correct answer is: by using deductive reasoning to provide examples of the team’s endurance, faith, and integrity.

Explanation: In this context, the author likely uses deductive reasoning, which starts with a general principle or assertion and then applies it to specific cases or examples. By highlighting the team’s endurance, faith, and integrity, the author aims to build a strong argument about their character and capability, supporting the overall message of the passage. This method helps reinforce the argument effectively by linking specific traits to the team’s performance and spirit. If you need more detailed analysis or assistance, feel free to check the extended services page!

To get m∠1 and m∠3 to both equal the same expression, the correct approach is:

She can subtract m∠2 from both sides of m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.

Explanation:

Starting from m∠1 + m∠2 = 180°, if we subtract m∠2 from both sides, we get m∠1 = 180° – m∠2.

Similarly, from m∠2 + m∠3 = 180°, if we subtract m∠2, we find m∠3 = 180° – m∠2.

Now we can see that both m∠1 and m∠3 equal the same expression (180° – m∠2). This establishes the relationship needed for m∠1 and m∠3 to be equivalent.

If you have more questions or need further explanation, feel free to ask!

To express the translation rule for triangle ΔQRS to triangle ΔQRS’, we need to determine how the coordinates of each point are modified during the translation.

The translation can be represented as:

[

(x, y) rightarrow (x + a, y + b)

]

Here, (a) and (b) are the horizontal and vertical shifts, respectively.

For example, if the triangle is moved 3 units to the right and 2 units up, the translation rule would be:

[

(x, y) rightarrow (x + 3, y + 2)

]

This means that each point of triangle ΔQRS is shifted by adding 3 to the x-coordinate and 2 to the y-coordinate to get the corresponding points in triangle ΔQRS’.

Feel free to ask more questions or for further clarification!

The closest synonym for the word “feat” is C. achievement.

A “feat” refers to an accomplishment or an extraordinary act that demonstrates skill or bravery. In this context, “achievement” similarly conveys the idea of successfully reaching a goal or completing a challenge. If you have more questions or need further assistance, feel free to ask!

To provide a more accurate answer, I would need to see the paragraph from Passage 2 for context regarding the definition of integrity. However, if you consider the common meanings, the second option—”firm adherence to moral or artistic codes and values”—often reflects the concept of integrity in discussions emphasizing ethics or character.

If you’d like to share the relevant paragraph, I could give a more tailored response! Please check the extended services page for more in-depth assistance if needed.

The example of figurative language that supports the author’s purpose of creating a vivid image to encourage the team is:

“We have the strength and the dedication to keep running and, with some smart playing, to make them come running after us.” (Paragraph 5).

Explanation: This statement uses metaphorical language to evoke a strong image of perseverance and strategy. By emphasizing “strength” and “dedication,” it paints a picture of resilience, motivating the team to continue pushing forward while hinting that they can turn the tables on their opponents. This encouragement helps create a sense of hope and determination, aligning with the author’s intention to inspire the team.

To determine which definition of integrity is used in the paragraph, we would need to analyze the context in Passage 2. However, based on common definitions, “firm adherence to moral or artistic codes and values” typically aligns with discussions about personal integrity or ethical behavior.

If the paragraph emphasizes ethical standards or moral principles, then that definition is likely the correct one.

For a more accurate answer, please consider the specific context provided in Passage 2 or consult the extended services page for further assistance!

The correct answer is B. California swimming pools were used for skateboarding because skate parks were closed.

Explanation: This option describes a direct cause-and-effect relationship where the closure of skate parks led skateboarders to seek alternative locations, such as empty swimming pools, for their sport. The closure caused the action of using swimming pools, illustrating a clear connection between the two events.

The correct answer is: It reveals that previously unknown information about DNA is now readily available.

Explanation: The idiom “come to light” suggests that new information has been uncovered and is now visible or understandable to the public. In the context of explaining the popularity of DNA testing, it emphasizes that advancements in technology and research have made important discoveries about DNA more accessible, leading to greater public interest and engagement with the subject.

The correct answer is: O It highlights a contrast to stir up the team’s emotions.

Explanation: Antithesis involves contrasting ideas or phrases, which can create a powerful effect in persuasive writing. By highlighting differences, it can evoke strong feelings and motivate the audience—in this case, the team—by making them feel a sense of urgency or passion about their goals. This emotional appeal can drive them to respond more positively to the coach’s message.

If you have more questions or need further assistance, feel free to ask!

The correct answer is A. The downhill racecourse is steep and slippery.

Cheese rolling is difficult primarily due to the steep and slippery nature of the racecourse, which can make it challenging for participants to run safely and maintain their balance as they chase the cheese down the hill. This steepness increases the risk of falls and injuries, adding to the difficulty of the race. If you have more questions or need further assistance, feel free to ask!

The correct answer is B. California swimming pools were used for skateboarding because skate parks were closed.

Explanation: This option describes a clear cause-and-effect relationship: the closure of skate parks (cause) led skateboarders to use empty swimming pools for skating (effect). It highlights how skateboarders adapted to their circumstances.

To find the area of the remaining plastic after cutting squares from each corner, we need to start with the area of the original rectangle and subtract the area of the four corners that are removed.

1. Area of the original rectangle:

The area ( A ) can be calculated using the formula for the area of a rectangle:

[

A = text{length} times text{width} = 10 , text{cm} times 6 , text{cm} = 60 , text{cm}^2.
]

2. Area of the squares cut from the corners:

Each square cut from the corners has an area of ( x^2 ) (since area of a square is side length squared). There are 4 squares, so:

[

text{Total area of squares} = 4 times x^2 , text{cm}^2.
]

3. Area of the remaining plastic:

Now, we find the area of the remaining plastic by subtracting the area of the squares cut from the original area:

[

text{Remaining area} = 60 , text{cm}^2 – 4x^2 , text{cm}^2.
]

Thus, we can fill in the statement:

The area of the remaining plastic is given by the

To find the area of the remaining plastic after cutting out squares from the corners, we first need to determine the dimensions of the remaining rectangle after the squares are removed.

1. Original area: The area of the original rectangle is calculated as:

[

text{Area} = text{length} times text{width} = 10 text{ cm} times 6 text{ cm} = 60 text{ cm}².

]

2. New dimensions after cutting squares: After cutting out squares with side length (x) from each corner, the new dimensions of the rectangle become:

– New length = (10 – 2x) (because squares are removed from both ends of the length)

– New width = (6 – 2x) (because squares are removed from both ends of the width)

3. Area of the remaining rectangle: The area of the remaining plastic is calculated as:

[

text{Remaining area} = (10 – 2x)(6 – 2x).

]

Using this information, we can complete the statements:

Using Words

The area of the remaining plastic is given by the difference: the original area minus the total area of the cut squares.

Using Symbols

The area of the remaining plastic is given by the difference: 60 cm² – (4x²), where (4

To predict the number of times the spinner will land on yellow or pink when spun 72 times, we first need to know the probability of landing on yellow or pink.

Assuming the spinner has equal sections for each color, let’s say yellow and pink together account for a specific portion of the spinner. If yellow and pink make up 50% of the spinner, we can use that percentage for our calculation.

1. Calculate the probability:

– Probability of landing on yellow or pink = 50% (or 0.5)

2. Multiply by the total spins:

– Expected number of times landing on yellow or pink = 0.5 * 72 = 36

So, the best prediction for the number of times it will land on yellow or pink is 36 times.

If the percentages differ, simply adjust the calculation using the actual probability. Let me know if you have further details or need additional information!

To make the best prediction for the number of times the spinner will land on yellow or pink after 72 spins, we first need to determine the probabilities of landing on yellow and pink.

Assuming the spinner is evenly divided among its sections and you’ve identified the fractions for yellow and pink, you can add those probabilities together.

For example, if yellow is 1/4 of the spinner and pink is 1/4, then the combined probability of landing on yellow or pink is:

1/4 + 1/4 = 1/2.

Now, multiply this probability by the total spins:

1/2 * 72 = 36.

So, the best prediction for the number of times it will land on yellow or pink is 36.