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  1. Find the angle x in the regular octagon below

    Feb 27, 2024 · In the plane figure below, we have a regular octagon $ABCDEFGH$, and I belongs to the diagonal $CG$, so that $\angle GIH = 30°$. Knowing this, determine in degrees the value of the …

  2. combinatorics - Find the number of $8$-digit numbers $ABCDEFGH

    Feb 19, 2023 · Find the number of $8$ -digit numbers $ABCDEFGH$ with distinct digits from $1$ to $8$ such that $A > B > C > D$ and $D < E < F < G < H$. I found this problem very interesting and have …

  3. combinatorics - Number of permutations of the word ABCDEFGHI …

    Dec 19, 2020 · How many permutations of the letters ABCDEFGHI contain a) the string CDE? b) the strings AC and CF? c) the strings ABC and ECG? Here is my solution: a) We treat the ...

  4. geometry - Given the octagon $ABCDEFGH$, with $\angle GHA=\angle …

    Mar 21, 2021 · Given the octagon ABCDEFGH A B C D E F G H, with ∠GHA = ∠ABC = ∠CDE = ∠EFG =120o ∠ G H A = ∠ A B C = ∠ C D E = ∠ E F G = 120 o, AE ⊥ GC A E ⊥ G C ...

  5. geometry - A cube ABCDEFGH is given. Determine the locus of all ...

    Aug 23, 2021 · A cube ABCDEFGH is given. Determine the locus of all midpoints of segments MN, where M is any point on segment AC and N any point on segment FH.

  6. Colouring vertices of a cube - Mathematics Stack Exchange

    Jul 14, 2020 · @JeanMarie if the coordinates of the cube are specified, I'd assume that the question considers rotational variants distinct. So the link doesn't answer the question. Also, this question …

  7. discrete mathematics - Can someone please explain the reasoning for ...

    How many permutations of the letters ABCDEFGH contain the string ABC ? Solution: Because the letters ABC must occur as a block, we can find the answer by finding the number of permutations of …

  8. geometry - Cube distortion - Mathematics Stack Exchange

    Aug 16, 2022 · EDIT1: A unit cube ABCDEFGH has rods pinned at its 8 vertices. It is distorted by bringing together opposite vertices A and G ( initial distance AG $=\\sqrt3 $ now ...

  9. Net of a Triangular Prism - Mathematics Stack Exchange

    Apr 21, 2022 · I have participated in the AMC8 Mathematics Competition from the United States of America in the past year, and I got a single question wrong. Now, I have discovered a website that …

  10. Rhyme Scheme Overview, Examples & Types - Lesson | Study.com

    Learn the rhyme scheme definition and understand how rhyming patterns are used. Study a rhyme scheme example and compare a rhyme scheme poem to...