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After writing a check for $172, your account is overdrawn by $31. How much money did you have in the account before you wrote the check?

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Kite is a quadrilateral with two pairs of adjacent, congruent sides. The vertex angles are those angles in between the pairs of congruent sides. Prove the diagonal connecting these vertex angles is perpendicular to the diagonal connecting the non-vertex angles. Be sure to create and name the appropriate geometric figures.

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Given the diagram of parallelogram LMNO, solve for r.

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What is the largest integer value of IK for which parallelogram IJKL will have an acute angle at J? A. 12 B. 13 C. 14 D. 15

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Given: Base ∠BAC and ∠ACB are congruent. Prove: ΔABC is an isosceles triangle. When completed (fill in the blanks), the following paragraph proves that Line segment AB is congruent to Line segment BC making ΔABC an isosceles triangle. Construct a perpendicular bisector from point B to Line segment AC. Label the point of intersection between this perpendicular bisector and Line segment AC as point D. m∠BDA and m∠BDC is 90° by the definition of a perpendicular bisector. ∠BDA is congruent to ∠BDC by the definition of congruent angles. Line segment AD is congruent to Line segment DC by by the definition of a perpendicular bisector. ΔBAD is congruent to ΔBCD by the _______1________. Line segment AB is congruent to Line segment BC because _______2________. Consequently, ΔABC is isosceles by definition of an isosceles triangle. corresponding parts of congruent triangles are congruent (CPCTC) the definition of a perpendicular bisector the definition of a perpendicular bisector the definition of congruent angles the definition of congruent angles the definition of a perpendicular bisector Angle-Side-Angle (ASA) Postulate corresponding parts of congruent triangles are congruent (CPCTC)

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If triangle ABC is dilated by a scale factor of three about the center of the triangle, dilated line D’E’ will be parallel to the original line shift three units to the right be perpendicular to the original line lie on the same line as the original

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Three different rectangles have an area of 28 square units. What are the possible whole-number dimensions of the rectangles? Please help!!

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A pair of parallel lines is cut by a transversal, as shown below: A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is labeled as x. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as y. Which of the following best represents the relationship between angles x and y? x = y x = 180° − y y = 180° − x x = 2y

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What are the steps for drawing the midsegment of any triangle on a coordinate plane

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If Square GHIJ is dilated by a scale factor of five about the center of the square, dilated line K’L’ will remain unchanged be parallel to line KL shift five units to up be perpendicular to line KL

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Ella calculated the missing side length of one of these triangles using the Pythagorean Theorem. Which triangle is it? Four triangles are shown. Triangle A has sides marked 3 and 5. Triangle B has sides marked 4 and 5. Triangle C has sides marked 2 and 4 and a right angle marked in between them. Triangle D has three equal sides, and two sides are marked 4 and 4. A B C D

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A street magician asks a passerby to draw one card from a standard deck, remember it, and then replace it. The magician then shuffles the deck and asks the person to draw a second card. Find the probability that at least one of the two cards was a heart.

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Describe the differences between angles in right triangles and angles of rotation.

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What are the relationships among radii, chords, tangents, and inscribed and circumscribed angles?

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Which figures will always be similar to each other? A. two rectangles B. two trapezoids C. to equilateral triangles D. two hexagrams

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How do you write an expression that represents all quadrantal angles?

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17) Which is an example of an statement that is accepted without proof? A) Parallel Postulate B) Pythagorean Theorem C) Betweenness Theorem D) Right Angle Congruence Theorem

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Mary states, If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle. Decide if her statement is true or false?

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Frank invests $1,000 in simple interest investment account that pays 8% a year. After a number of years, he withdraws his balance of $2,200. Using the formula mc006-1.jpg, how many years was his money invested?

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A plane intersects a prism parallel to the base of the prism. The cross section is a polygon with eight sides. How many sides does the base of the prism have? A. 10 B. 8 C. 7 D. 9

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What is the variance of the distribution of the average an IID draw of n observations from a population with mean μ and variance σ2.

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Statistics HELP!!!!! A group of students were asked to guess the width of the room in feet, measured to the nearest foot (1 meter = 3.28 feet, to 2 decimal places). Construct a back to back stemplot from these two datasets. How will you overcome the problem that different units are used in the two datasets? Guesses (Meters) 8 9 10 10 10 10 10 10 11 11 11 11 12 Guesses (Feet) 24 25 27 30 30 30 30 30 30 32 32 33 34

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My math question please ! Sarah has completed the first few steps for constructing the inscribed circle for triangle ABC. She started by constructing the angle bisectors for angles A and C. What is the name of point D?

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Maggie wants to plant a circular flower bed within a triangular area offset by three pathways. Which point of concurrency related to triangles would she use for the center of the largest circle that would fit inside the triangle? A. none of these b. orthocenter c. incenter d. circumcenter

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? What is the next step in the proof? Choose the most logical approach. Given: Transversal t passes through parallel lines r and s. Prove: ∠3≅∠6 ∠4≅∠5 Statement Reason 1. r || s given 2. ∠3≅∠7 ∠4≅∠8 For parallel lines cut by a transversal, corresponding angles are congruent. 3.

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There are are 16 triangles 4 are shaded what is the percent

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Which statement allows us to conclude that line m and line n are parallel?

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Is WXY ~ ZYV? Justify your answer. The image is not drawn to scale. A. No, the sides are not in proportion. B. No, the corresponding angles are not congruent. C. Yes, WXY ~ ZYV with a scale factor of 9:8. D. Yes, WXY ~ ZYV with a scale factor of 8:9.

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The cross-sectional area parallel to the bases of the two figures above is the same at every level. Find the volume of the cone, to the nearest tenth.

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Two identical lines are graphed below. How many solutions are there to the system of equations? A. One B. Two C. Infinitely many D. Zero

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