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Susanne Wolfe

Susanne W.

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Donna Densmore verified

Numerade educator

Charles and Olivia are trying to estimate the volume of water that could be held by the figure shown below, which is 10 feet high and has a circular top of a radius 20 feet. Charles proposes they approximate the volume by using a cylinder of radius 20 feet and height 10 feet. Olivia proposes that they instead use a circular cone connecting the top of the tank to the vertex at the bottom. Which solution is likely to be most accurate volume? 100 cubic feet 200 cubic feet 1,333 cubic feet 4,000 cubic feet

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Daniel Carr verified

Numerade educator

Below is a picture of ( riangle A B C ) with vertices lying on grid points: a. Draw the image of ( riangle A B C ) when it is scaled with a scale factor of ( frac{3}{2} ) about the vertex ( mathrm{A} ). Label this triangle ( Delta A^{prime} B^{prime} C^{prime} ).

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Gregory Higby verified

Numerade educator

In the figure, ( m angle L+m angle Q=90^{circ} ). Which trigonometric ratios are equivalent? Select all that apply. ( sin (L) ) and ( sin (Q) ) ( sin (L) ) and ( cos (Q) ) ( sin (L) ) and ( sin (R) ) ( cos (L) ) and ( sin (Q) ) ( cos (L) ) and ( cos (Q) ) ( cos (L) ) and ( sin (R) )

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Daniel Carr verified

Numerade educator

In ?KLM and ?XYZ shown, KL ? XY and ?L ? ?Y. Which statement correctly proves the two triangles are congruent? If LM ? YZ, then ?KLM ? ?XYZ by AAS postulate. If LM ? YZ, then ?KLM ? ?XYZ by SSS postulate. If ?M ? ?Z, then ?KLM ? ?XYZ by AAS postulate. If ?M ? ?Z, then ?KLM ? ?XYZ by SSS postulate.

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Lori Jones verified

Numerade educator

A student claims that any quadrilateral with two right angles must be a rectangle. Which figures can be used to show the student is incorrect? Select all that apply.

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Benjamin Densmore verified

Numerade educator

Given: (overline{PQ} parallel overline{JL}) Prove: (frac{JP}{PK} = frac{LQ}{QK}) An incomplete proof is shown in the table. | Step | Statement | Reason | | :--- | :--- | :--- | | 1 | (overline{PQ} parallel overline{JL}) | Given | | 2 | (angle KPQ cong angle KJL, angle KQP cong angle KLJ) | ? | | 3 | (Delta PKQ sim Delta JKL) | AA criterion | | 4 | (frac{JK}{PK} = frac{LK}{QK}) | ? | | 5 | (frac{JP + PK}{PK} = frac{LQ + QK}{QK}) | Segment addition postulate | | 6 | (frac{JP}{PK} + frac{PK}{PK} = frac{LQ}{QK} + frac{QK}{QK}) | Distributive property | | 7 | (frac{JP}{PK} = frac{LQ}{QK}) | Addition property of equality | Which reasons for Step 2 and Step 4 complete the proof? Select all that apply. [ ] Step 2 : When two parallel lines are cut by a transversal, corresponding angles are congruent. [ ] Step 2 : When two parallel lines are cut by a transversal, alternate interior angles are congruent. [ ] Step 4 : Corresponding sides of similar triangles are congruent. [ ] Step 4 : Corresponding sides of similar triangles are proportional. [ ] Step 4 : Corresponding sides of congruent triangles are congruent. [ ] Step 4 : Corresponding sides of congruent triangles are proportional.

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Daniel Carr verified

Numerade educator

The vertices of rectangle ( P Q R S ) are graphed in the xy-plane with coordinates ( P(-3,-2), Q(-3,3), R(4,3) ), and ( S(4,-2) ). The rectangle ( P Q R S ) is reflected across the ( y )-axis and rotated ( 90^{circ} ) counterclockwise about the origin to form rectangle ( P^{prime} Q^{prime} R^{prime} S^{prime} ). What are the coordinates of point ( P^{prime} ) ? ( (-2,-3) ) ( (-2,3) ) ( (2,-3) ) ( (2,3) )

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Daniel Carr verified

Numerade educator

The following figure shows a circle that has center ( mathrm{O} ), diameters ( overline{P S} ) and ( overline{R T} ), and chords ( overline{P Q} ) and ( overline{Q R} ). If ( m overparen{R S}=74^{circ} ) and ( m overparen{S T}=106^{circ} ), what is ( m angle P Q R ) ? Select one answer. ( 106^{circ} ) ( 127^{circ} ) ( 138^{circ} ) ( 143^{circ} )

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Matthew Wagner verified

Numerade educator

Which statement correctly proves the two triangles are congruent? If ( overline{L M} cong overline{Y Z} ), then ( riangle K L M cong riangle X Y Z ) by AAS postulate.

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Matthew Wagner verified

Numerade educator

In the figure, m?K + m?Q = 90°. Which trigonometric ratios are equivalent? Select all that apply. sin(L) and sin(Q) sin(L) and cos(Q) sin(L) and sin(R) cos(L) and sin(Q) cos(L) and cos(Q) cos(L) and sin(R)

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