mdayLcton Daw nce)Wk: 19OWe wantof Hie set of shehies needs to be 4 timesthe height of the set of selves, and theset of Shetves must have three shelves in it-CIf there are 72 feet Of wood to be Used tobuild the set of shelves, what should Hiedi mensions Of the setto build a set Of selves. Ihe witthof shelvesbe?b.sclve the following equationsニ○c) If x= 4V15 evghuate xt VzoVš t VJ

Answered: Image /qna-images/answer/f3775482-be82-4aa4-935c-5629a9ee4eb4.jpg

Answered: b.schve the following equations ニO DIf…

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter3: Triangles

Section3.CT: Test

Problem 6CT

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Note: Exercises preceded by an asterisk are of a more challenging nature. a In the figure, are AB,CD, and EF concurrent? b Are CD,EF, and GH concurrent?
In Exercises 55 and 56, P is a true statement, while Q and R are false statements. Classify each of the following statements as true or false. a PandQorR b PorQandR
a If mAB=88, then mACB=____________. b If mAB=92 and C is the midpoint of major are ACB, then mAC=_____________.
Given: AD bisects BC ABBCDCBC Prove: AEDE
In Exercise 11 and 12, provide the missing statements and reasons. Given: 12;34 s 2 and 3 are complementary Prove: s 1 and 4 are complementary PROOF Statements Reasons 1. 13 and 34 1. ? 2. ? and ? 2. If two s are , then their measures are equal. 3. s 2 and 3 are complementary 3. ? 4. ? 4. The sum of the measures of complementary s is 90 5. m1+m4=90 5. ? 6. ? 6. If the sum of the measures of two angles is 90, then the angles are complementary
11. (See Exercise 10.) According to Definition 5.29, is defined in by if and only if . Show that if and only if . 10. An ordered field is an ordered integral domain that is also a field. In the quotient field of an ordered integral domain define by . Prove that is a set of positive elements for and hence, that is an ordered field. Definition 5.29 Greater than Let be an ordered integral domain with as the set of positive elements. The relation greater than, denoted by is defined on elements and of by if and only if . The symbol is read “greater than.” Similarly, is read “less than.” We define if and only if. As direct consequences of the definition, we have if and only if and if and only if . The three properties of in definition 5.28 translate at once into the following properties of in . If and then . If and then . For each one and only one of the following statements is true: . The other basic properties of are stated in the next theorem. We prove the first two and leave the proofs of the others as exercises.
In Exercise 34, provide a paragraph proof. Given: RSAB,CBAC Prove: BSRBCA
In Exercises 25 to 32, name the type of reasoning if any used. While judging a science fair project, Mr. Cange finds that each of the first 5 projects is outstanding and concludes that all 10 will be outstanding.

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b.schve the following equations ニO DIf x=4Vis Vš tVJ evgluale xtVzo