Mathematics, 23.02.2021 02:10 QuestionsAnsweredNow

1. CCSS Reason Abstractly what would the graph of y = x look like? Name three ordered pairs that lie on the line.

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Answer from: Quest

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

Answer from: Quest

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

ac ≅ ab (given)< cax ≅ < bax (given)ax ≅ ax (common side)

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

ac ≅ ab (given)< cay ≅ < bay (since < cax ≅ < bax is given and xy is the extension of line ax)ay ≅ ay (common side)

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

Use a paragraph, flow chart, or two-column proof to prove the angle congruency. given: ∠cxy ≅ ∠bxy

Answer from: Quest

there is only one way to arrange all the eight $b's$ relative to each other because they are not distinct. we have

$\underline{\ \ }b\underline{\ \ }b\underline{\ \ }b\underline{\ \ }b\underline{\ \ }b\underline{\ \ }b\underline{\ \ }b\underline{\ \ }b\underline{\ \ }$

now there are nine places to place an $a$ (and not more than one $a$ in one place). because we have four $a$ symbols, we need to choose four of these nine places to insert an $a$ . order does not matter because the $a$ are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

$1\cdot c(9,4) = \dfrac{9! }{4! (9-4)! } = \dfrac{9\cdot8\cdot7\cdot6\cdot5! }{4! 5! } = \dfrac{9\cdot8\cdot7\cdot6}{4\cdot3\cdot2\cdot1} = 126.$

thus there are 126 ways to form such "words."

Answer from: Quest

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1. CCSS Reason Abstractly what would the graph of y = x look like? Name three ordered pairs that lie...

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