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
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter9: Roots And Radicals
Section9.4: Multiply Square Roots
Problem 311E: An artist wants to make a small monument in the shape of a square base topped by a right triangle,...
Related questions
Concept explainers
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
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.
Topic Video
Question
Help with 36?
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2c762e73-cba5-4fbf-869f-39b9ab2042ca%2F12a65d72-7673-445c-9e10-554cc49cf0d6%2F8bz7zye_processed.jpeg&w=3840&q=75)
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
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Elementary Algebra](https://www.bartleby.com/isbn_cover_images/9780998625713/9780998625713_smallCoverImage.jpg)
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
![Elementary Algebra](https://www.bartleby.com/isbn_cover_images/9780998625713/9780998625713_smallCoverImage.jpg)
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,