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Explore solving for midpoints, lengths, and angle inequalities in geometry problems. Practice calculations and comparisons to enhance your understanding.
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Points S, T, and U are the midpoints of segments DE, EF, and DF, respectively. Find x, y, and z. x = 4 y = 5.8 z = 0.575 or 23/40 E 2x -5 y S T 4z A 6 4.6 2.9 F D U
A plane travels from Des Moines to Phoenix, on to Atlanta, and then completes the trip directly back to Des Moines as shown on the diagram. Write the lengths of the legs of the trip in order from greatest to least. Des Moines Phoenix to Atlanta Des Moines to Phoenix Atlanta to Des Moines (8x + 4)o (5x + 21)o (11x – 37)o Phoenix Atlanta
Write an inequality using the information in the figure. • Compare m∠QRS and m∠QSP. • Find the range of values containing x. Q 14 m∠QRS > m∠QSP. P (5x – 14)o 15 12 46o S R 12
Write an inequality relating m∠LDM to m∠MDN. • Find the range of values containing a. M m∠LDM>m∠MDN. 9a + 15 18 16 141O D 12 12 L N