36. PQRS is an isosceles trapezoid. If ZTRS = 100°, ZT = 35°, and PS = TS, find the measures of the numbered angles. %3D R
36. PQRS is an isosceles trapezoid. If ZTRS = 100°, ZT = 35°, and PS = TS, find the measures of the numbered angles. %3D R
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Transcribed Image Text:Problem Set 5.4 277
33. Find the length of the legs in the following isosceles
trapezoid. Round to the nearest hundredth.
6"
18
10"
57
34. Find the area of the following isosceles trapezoid.
Round to the nearest tenth.
PROOFS
7.8 m
39. Prove: A square is a rhombus with one right angle.
40. Prove: A square is a rectangle with two adjacent
sides congruent.
8.5 m
41. Prove: A square is a rhombus with congruent
diagonals.
42. Prove: A square is a rectangle with perpendicular
diagonals.
43. Prove: A parallelogram with one right angle is a
rectangle (Theorem 5.27).
106 m
35. In isosceles trapezoid EFGH,EF = 20", FG = 25",
and ZH = 60°, Find EH.
44. Prove: The diagonals of an isosceles trapezoid are
congruent.
36. PQRS is an isosceles trapezoid. If ZTRS = 100°,
ZT = 35°, and PS = TS, find the measures of the
numbered angles.
45. Prove: If the diagonals of a trapezoid are congru-
ent, then it is an isosceles trapezoid.
46. In parallelogram ABCD, BP and CQ are altitudes.
Prove that PBCQ is a rectangle.
B
R
4
APPLICATIONS
37. In isosceles trapezoid WXYZ, X P = 5 in., Y Z =
12 in., XZ 1 WX, and WY 1 YZ Find WZ.
47. While building the frame for a new door, you mea-
sure to determine if the frame is a rectangle. For
each of the following situations, explain whether
you can conclude the frame is a rectangle.
a. You measure and find opposite sides are the
same length.
b. You measure and determine both diagonals are
the same length.
c. You measure one angle and determine it is a
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