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2. How many congruent angles does an isosceles right triangl...

2. How many congruent angles does an isosceles right triangle have? What are the measures of the three angles? Find the value of x in the 45°-45°-90° triangle. Write your answer in radical form. 4. 2V2, x x Finding Hypotenuse Longths Find the length of the hypotenuse in the 45&d...

f '' Care u Y read all of the directions. Show all work wh...

f '' Care u Y read all of the directions. Show all work where necessary and clearly mark your final answer. Each question is worth 4 points. Find the value of x 1. 2. ind the value of x 3. E 4. i . ths? Justifu uour answer . Can a triangle hove sides with the g,ven leng . - 13. 3 m, 11 m. ...

·.B ~ 8 ctil.' Calculate ~ach of the following. ct f...

·.B ~ 8 ctil.' Calculate ~ach of the following. ct fonn and to the · f th shaded region at right (5). 2. Calculate the area O e · 10' 3. Plot and connect the points S(-1, 3), T(2, 5), A(4, -3), R(l, -5) to form quadrilateral STAR (6). a. What shape is ST Al(! Use tots of ...

Question 1. (i) Recall that an ane map in 2D may be represe...

Question 1. (i) Recall that an ane map in 2D may be represented by a matrix of the form 0 @ a b c c d g 0 0 1 1 A where a; b; c; d; e; g are real numbers. Let f : R2 ! R2 be the ane map represented by 0 @ 0:5 0:5 0 0:5 0 0:5 1 1 1 1 A 0 @ 1 0 1 0 1 1 1 1 1 1 A ๔1 : To w...

PART I The object of Part I is to practice your knowledge I...

PART I The object of Part I is to practice your knowledge IFS attractors , the Collage Theorem and addresses of points on fractals. Exercise 1: Consider the two IFSs F = fR2 : f1(x; y) = (x=2; y=2); f2(x; y) = (x=2 + 1=2; y=2)g: G = fR2 : f1(x; y) = (๔x=2 + 1=2; y=2); f2(x; y) = (x=2 + 1=2; ...

Question 3. (3 points) The regular icosahedron is a polyhed...

Question 3. (3 points) The regular icosahedron is a polyhedron (roughly speaking, a "three-dimensional analogue" of a polygon) with 20 equilateral triangles as its faces (shown in yellow) and 12 vertices (shown in red): By cutting off all of the vertices ("corners&q...

Candles Find the volume of the candle. 5. 6. 460m 7. Be...

Candles Find the volume of the candle. 5. 6. 460m 7. Bem 12 cm 10cm 12cm Using Unit Cubes Find the number of unit cubes that will fit in the box. Explain your reasoning. 8. 9. 10. 2 3 4 5 4 2 4 3 Volume of a Prism Find the volume of the prism. 11. 12. 13. 4in. 12m 6 CIII ...

With apologies to Prof. Tolkien... If the Númenorean...

With apologies to Prof. Tolkien... If the Númenoreans had been mathematicians, perhaps the rhyme of lore Gandalf quotes to Pippin during the ride from Rohan to Gondor in the Lord of the Rings would have been something like: Tall ships and tall kings Three times three What brought they fro...

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