Given: OLMNO is a trapezoid with PQ as the median. Answer each of the following items. 1. If |PQ| = 20 cm, |LM| = x + 3 cm and [ON] = x + 6 cm, what is the value of x? 2. If |LM| =x-2 cm, [ON] =x+4 cm and |PQ| = 24 cm, what is the value of x? 3. If |PQ|= 24 cm, |LM| = x+4 cm and [ON] = x+8 cm, what is |LM|?
Given: OLMNO is a trapezoid with PQ as the median. Answer each of the following items. 1. If |PQ| = 20 cm, |LM| = x + 3 cm and [ON] = x + 6 cm, what is the value of x? 2. If |LM| =x-2 cm, [ON] =x+4 cm and |PQ| = 24 cm, what is the value of x? 3. If |PQ|= 24 cm, |LM| = x+4 cm and [ON] = x+8 cm, what is |LM|?
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.1: Area And Initial Postulates
Problem 30E: The following problem is based on this theorem: A median of a triangle separates it into two...
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![Given: OLMNO is a trapezoid with PQ as the median. Answer each of the following
items.
1. If |PQ| = 20 cm, |LM| = x + 3 cm and [ON] = x + 6 cm,
what is the value of x?
2.
If |LM| = x-2 cm, |ON|=x+4 cm and |PQ| = 24 cm,
what is the value of x?
3.
If |PQ| = 24 cm, |LM| = x+4 cm and [ON] = x + 8 cm,
what is |LM|?
4. If |PQ| = 24 cm, |LM| =x-3 cm and [ON] = x + 7 cm,
what is |ON|?
5. If |LM| = 12 cm, |PQ|-x+ 3 cm and [ON] = x + 10
cm, what is the value of x?
6.
=x+ 3 cm,
If |LM| = 18 cm, |PQ|-x-2 cm and
what is the value of x?
7. If |ON| = 30 cm, |PQ|=x+ 1 cm and |LM| = x-6 cm,
what is |PQ|?
8.
If |ON| = 34 cm, |PQ|x-1 cm and |LM| = x-7 cm,
what is |LM|?
9. If |LM| = 2x, |PQ| = 3x and |ON| = 2(x+5), what is
|PQ|?
10.If |LM| = 2x + 2 cm, |PQ|3x+3 cm and [ON] =
2(x+6), what is |LM|?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11a8b728-51ac-42f0-9883-6e5f48d341f7%2Fafa8bd6c-4487-4299-af4e-47cda53084b2%2Fm1j5k08_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given: OLMNO is a trapezoid with PQ as the median. Answer each of the following
items.
1. If |PQ| = 20 cm, |LM| = x + 3 cm and [ON] = x + 6 cm,
what is the value of x?
2.
If |LM| = x-2 cm, |ON|=x+4 cm and |PQ| = 24 cm,
what is the value of x?
3.
If |PQ| = 24 cm, |LM| = x+4 cm and [ON] = x + 8 cm,
what is |LM|?
4. If |PQ| = 24 cm, |LM| =x-3 cm and [ON] = x + 7 cm,
what is |ON|?
5. If |LM| = 12 cm, |PQ|-x+ 3 cm and [ON] = x + 10
cm, what is the value of x?
6.
=x+ 3 cm,
If |LM| = 18 cm, |PQ|-x-2 cm and
what is the value of x?
7. If |ON| = 30 cm, |PQ|=x+ 1 cm and |LM| = x-6 cm,
what is |PQ|?
8.
If |ON| = 34 cm, |PQ|x-1 cm and |LM| = x-7 cm,
what is |LM|?
9. If |LM| = 2x, |PQ| = 3x and |ON| = 2(x+5), what is
|PQ|?
10.If |LM| = 2x + 2 cm, |PQ|3x+3 cm and [ON] =
2(x+6), what is |LM|?
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