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.
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
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F376f7ec8-ac83-4447-8131-d773643e2c08%2F005e91af-02d8-47b5-b68f-addaaeacd0b6%2F6wxaw9p_processed.png&w=3840&q=75)
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.
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