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HERE R THE ONLY 15 QUESTIONS I NEED HELP WITH Question 1 (Multiple Choice Worth 6 points) (09.02 MC) Samira wants to simplify the following expression. 2(2p + 3p) + 2(-3 + 1) Which option has the correct steps listed out for simplifying the expression? 1) 2 + 2p −3 + 2 + 3p + 1 using distributive property of addition 2) 2p + 3p − 3 + 2 + 1 using commutative property of addition 3) 5p + 2 − 3 + 1 using associative property of addition 4) 5p simplifying 1) 2 (2p) + 2 (3p) + 2 (−3) + 2 (1) using distributive property of addition 2) 4p + 6p – 6 + 2 simplifying 3) p (4 + 6) − 6 + 2 using distributive property of addition 4) 10p − 4 simplifying 1) 4 + p + 2 + (−3) + 6 + p + 2 + 1 using distributive property of addition 2) p + p + 4 + 2 − 3 + 6 + 2 + 1 using commutative property of addition 3) p (1 + 1) 4 + 2 − 3 + 6 + 2 + 1 using distributive property of addition 4) 2p + 12 simplifying 1) 4p + 2 (−3) + 6p + 2 (1) using distributive property of addition 2) 4p − 6 + 6p + 2 simplifying 3) 4p + 6 − 6 + 2 using commutative property of addition 4) 4p + 2 simplifying Question 2 (Multiple Choice Worth 6 points) (09.01 LC) What is the inverse of the statement shown below? “A prime number is a number that has no factors other than one and itself.” If a number is not a prime number, then it has factors other than one and itself. If a number has no factors other than one and itself, then it is a prime number. If a number is a prime number, then it has no factors other than one and itself. If a number has factors other than one and itself, then it is not a prime number. Question 3 (Multiple Choice Worth 6 points) (09.01 MC) Megan wrote the statement shown below. If a quadrilateral is a rectangle, then its diagonals are not perpendicular. Which of these is logically equivalent to it? If a quadrilateral is not a rectangle, then its diagonals are not perpendicular. If a quadrilateral is not a rectangle, then its diagonals are perpendicular. If the diagonals of a quadrilateral are perpendicular, then it is not a rectangle. If the diagonals of a quadrilateral are not perpendicular, then it is a rectangle. Question 4 (Multiple Choice Worth 6 points) (09.01 MC) Mae said, “If the waves are high, then the sea is stormy.” Which of the following is the converse of Mae’s statement? If the waves are high, then the sea is stormy. If the sea is not stormy, the waves are not high. If the waves are not high, the sea is not stormy. If the sea is stormy, then the waves are high. Question 5 (Multiple Choice Worth 6 points) (9.04 MC) Read the statements shown below. If a polygon has four sides, it is a quadrilateral. If the opposite angles of a quadrilateral are congruent, it is a parallelogram. Beth constructed a quadrilateral in the geometry class. Based on the given statements, which is a valid argument? It can be concluded that Beth drew a rectangle. It cannot be concluded that Beth drew a parallelogram. It cannot be concluded that Beth drew a polygon with four sides. It can be concluded that Beth drew a quadrilateral with opposite angles congruent. Question 6 (Multiple Choice Worth 6 points) (09.02 LC) Look at the equation. 5(a + 2b) + 3c = 5a + 10b + 3c Which property is used to simplify the equation? commutative property of addition reflexive property of addition distributive property of addition associative property of addition Question 7 (Multiple Choice Worth 6 points) (09.01 MC) Andy told Natalie, “If a book is long, then it is fun to read.” Which statement is the contrapositive of the above statement? If the book is not fun to read, then it is not long. If the book is fun to read, then it is long. If the book is not long, then it is not fun to read. If the book is long, then it is fun to read. Question 8 (Multiple Choice Worth 6 points) (9.03 MC) Jazz draws a transversal, t, on two parallel lines AB and CD, as shown below. Two parallel lines are shown cut by a transversal labeled t. 1, 2, 7 and 8 are marked clockwise as exterior angles. 4, 3, 6, and 5 are marked clockwise as interior angles He makes the following table to prove that the alternate interior angles are equal. Statement Justification angle 2 = angle 6 Corresponding angles of parallel lines are congruent. angle 2 = angle 4 ? angle 4 = angle 6 transitive property of equality, angle 2 = angle 6, angle 2 = angle 4, therefore angle 4 = angle 6 Which is the missing justification? Angles 1 and 3 are supplementary; therefore, angle 2 is equal to angle 4. Angles 1 and 3 are congruent; therefore, angle 2 is equal to angle 4. Angles 1 and 4 and angles 1 and 2 are supplementary; therefore, angle 2 is equal to angle 4. Angles 1 and 4 and angles 1 and 2 are congruent; therefore, angle 2 is equal to angle 4. Question 9 (Multiple Choice Worth 6 points) (9.04 LC) Which of these is a valid conclusion? Swimmers do not dive in shallow water. Cathy is a swimmer. Therefore Cathy does not dive in shallow water. Swimmers do not dive in shallow water. Cathy dives in shallow water. Therefore, Cathy is a swimmer. Swimmers do not dive in shallow water. Cathy is a swimmer. Therefore Cathy dives in shallow water. Swimmers do not dive in shallow water. Cathy does not dive in shallow water. Therefore Cathy is not a swimmer. Question 10 (Multiple Choice Worth 6 points) (09.01 LC) Look at the statement below. If a number is a multiple of 4, it is divisible by 2. Which of these is a logically equivalent statement? If a number is not divisible by 2, it is a multiple of 4. If a number is divisible by 2, it is a multiple of 4. If a number is not a multiple of 4, it is not divisible by 2. If a number is not divisible by 2, it is not a multiple of 4. Question 11 (Multiple Choice Worth 8 points) (9.03 LC) Joel and Melinda provide the following proofs for vertical angles to be equal. A line PQ is shown cut by a transversal t. 1, 2, 3, 4 are marked clockwise as the four angles formed by the transversal on the segment PQ Joel’s proof: angle 2 + angle 3=180° (transversal t is a straight line) angle 1 + angle 2 = 180° (PQ is a straight line segment) Therefore, angle 1 + angle 2 = angle 2 + angle 3 Hence, angle 1 = angle 3 Melinda’s proof: angle 1 + angle 2 + angle 3 + angle 4 = 360° Therefore, angle 1 + angle 4 = 180° Hence, angle 4 = angle 2 Which statement is correct? Only Joel’s proof is correct. Only Melinda’s proof is correct. Both Joel’s and Melinda’s proofs are correct. Both Joel’s and Melinda’s proofs are incorrect. Question 12 (Multiple Choice Worth 6 points) (09.02 MC) Sarah wrote the following steps to simplify the expression (8x – 6y – 5x). Step 1: 8x – 5x – 6y; using commutative property of addition Step 2: (8x – 5x) – 6y; using associative property of addition Step 3: x(8 – 5 – 6); using distributive property of addition Step 4: x(-3); simplifying Which step was incorrect, and what should be the correct step that Sarah should use? Step 2 was incorrect. Correct step: 8x – (5y − 6y); using associative property of addition Step 3 was incorrect. Correct step: 8x – (5 + 6) y; using distributive property of addition Step 3 was incorrect. Correct step: x(8 – 5) – 6y; using distributive property of addition Step 2 was incorrect. Correct step: 8x – (5x + 6y); using associative property of addition Question 13 (Multiple Choice Worth 6 points) (09.01 MC) Read the statement shown below. “If Bob is swimming, then Henry is skating.” Which of these is logically equivalent to the above statement? If Henry is not skating, then Bob is not swimming. If Henry is skating, then Bob is not swimming. If Bob is not swimming, then Henry is skating. If Bob is swimming, then Henry is not skating. Question 14 (Essay Worth 10 points) (09.03 MC) The figure below shows a transversal t which intersects the parallel lines AB and CD. AB and CD are parallel lines cut by the transversal t. The interior angles on the left of the transversal are labeled 1 and 2. Angle 3 is the angle adjacent to angle 1 and it is on the right of the transversal. Write a paragraph to prove that the sum of the measures of angle 1 and angle 2 is equal to 180°. Question 15 (Essay Worth 10 points) (09.04 MC) Nathan, Joshua, Michelle, and Denise were in a room where a porcelain vase was found broken. When an inquiry was conducted by the building caretaker, each made a statement. Nathan: I did not break the vase. Joshua: Denise did it. Michelle: Denise lied when she said Michelle did it. Denise: Michelle did it. The caretaker knew that only one statement is not true and concluded that Nathan broke the vase. Describe in complete sentences the method you use to show that the caretaker made an incorrect conclusion.
COULD ONE OF U PLZZZ HELP ME
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flvs? here is for question 6: 5(a + 2b) + 3c = 5a + 10b + 3c c distributive property of addition Question 1: B 2 (2p) + 2 (3p) + 2 (−3) + 2 (1) using distributive property of addition 2) 4p + 6p – 6 + 2 simplifying 3) p (4 + 6) − 6 + 2 using distributive property of addition 4) 10p − 4 simplifying
YES FLVS LOL SO THATS THE ANSWER 2 QUESTION 6 AND QUESTION 1
question 3: C i think it is If the diagonals of a quadrilateral are perpendicular, then it is not a rectangle.
well.... it is a lot of questions i think ppl would help you more one by one but i'll try to answer as many as i can
OK TY ILL DO THEM ON BY ONE AFTER U ASNWER THE ONES U CAN
question 5: D It can be concluded that Beth drew a quadrilateral with opposite angles congruent.
i hope you choose as best answer jajaaa lol jk jk
question 13: A If Henry is not skating, then Bob is not swimming.
N1U SURE R TAKING A WHILE LOL
for question 15 you have to assume the opposite Question 15 (Essay Worth 10 points) (09.04 MC) Nathan, Joshua, Michelle, and Denise were in a room where a porcelain vase was found broken. When an inquiry was conducted by the building caretaker, each made a statement. Nathan: I did not break the vase. Joshua: Denise did it. Michelle: Denise lied when she said Michelle did it. Denise: Michelle did it. The caretaker knew that only one statement is not true and concluded that Nathan broke the vase. Describe in complete sentences the method you use to show that the caretaker made an incorrect conclusion. if it's said that nathan broke the vase you are going to assume the opposite that nathan didn't brake the vase therefore you are going to go statement by statement so let's start backwards denise says that michelle did it, she might be right but then michelle is saying that denise died so therefore that is right and now we know that neither michelle or nathan did it after joshua says that denise did it so joshua might be right and nathan says that he didn't do it and we know he didn't( by assuming) 1 out of 3 statements are right therefore nathan didn't do it and the caretaker was wrong
i don't know 14
for question 12 C Step 3 was incorrect. Correct step: x(8 – 5) – 6y; using distributive property of addition
let me know if you have questions with number 15??
jajaaaa question 15 was long plus i'm here cause i'm waiting for someone to answer my question so i keep going back to my question and checking
plus i don't want to give you the wrong answers
question 10 B If a number is divisible by 2, it is a multiple of 4.
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