1. The diagram below shows rectangle RSTU with two diagonals drawn. (6х- 15)° To find the value of x, Justin wrote the following steps. 1. m 2 STR + m Z RTU = 90° 2. m 2 RTU = 27° 3. 6х - 15 - 27 4. 6x = 42 5. х 7 Which statement can be used to justify the first step? The alternate interior angles formed by the diagonals are congruent. The diagonals of a rectangle are congruent. Opposite angles in a rectangle are congruent. The angles at each vertex of the rectangle are right angles.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 27E
icon
Related questions
Question
100%
Which statement can be used to justify the 1st stepp.
1. The diagram below shows rectangle RSTU with two diagonals drawn.
(6х- 15
To find the value of x, Justin wrote the following steps.
1. m 2 STR + m Z RTU = 90°
2. m Z RTU = 27°
3. 6х - 15 - 27
4. бх 3 42
5. x =7
Which statement can be used to justify the first step?
O The alternate interior angles formed by the diagonals are congruent.
The diagonals of a rectangle are congruent.
Opposite angles in a rectangle are congruent.
The angles at each vertex of the rectangle are right angles.
Transcribed Image Text:1. The diagram below shows rectangle RSTU with two diagonals drawn. (6х- 15 To find the value of x, Justin wrote the following steps. 1. m 2 STR + m Z RTU = 90° 2. m Z RTU = 27° 3. 6х - 15 - 27 4. бх 3 42 5. x =7 Which statement can be used to justify the first step? O The alternate interior angles formed by the diagonals are congruent. The diagonals of a rectangle are congruent. Opposite angles in a rectangle are congruent. The angles at each vertex of the rectangle are right angles.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning