Given: <C and <D are supplementary m< B = m<DProve: AB is congruent to CD (give reasons in geometric terms)

Q: If a, b eR such that a < b, find 1 b+ n=1

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Q: The following table shows deaths due to tuberculosis (TB) in two towns. Complete parts (a) through…

A: a. The population for whites in Town 1 are 4675000.

Q: Find the mean, the median, and the mode(s), if any, for the given data. Round noninteger means to…

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Q: Is the following true or false? Z∩N=Z

A: Z is the set of all integers, i.e.  Z={ ..., -3, -2, -1, 0, 1, 2, 3, ...} And N is the set of all…

Q: Let C(-6,3) and D(3,0). Determine which is larger: ||CE|| or ||DE|, if E(-2,1)

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Q: Rrove the other distributive oddi tion Geed t property of (+d) A= cA+ d A

A: Distributive property of addition is given by . It is used in case where terms inside the…

Q: 2 solve the following set of three equations by Gramer and by A XI-X22X3 = 1 2X1 - X3 = 2 X₁ + X₂ +…

A: Given the system of equations: x1-x2-2x3=12x1-x3=2x1+x2+x3=3 Solve using Cramer's rule.

Q: Suppose s and t are distinct natural numbers. Show that lcm(s, t) + lcm(s+1, t+1) > 2st/(sqr(|s −…

A: Given: s and t are distinct natural numbersTo prove: lcm(s, t)+lcm(s+1, t+1)&gt;2sts-t

Q: P(X=x) 0,10 0,20 0,30 0,40 P(3 < X S4 )= ??? O A) 0,10 O B) 0,40 C) 0,30 O D) 0,50 XN34 5

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Q: Is that a < or a c?

A: It is a less than symbol "&lt;" . Kindly find the clear solution of that problem here.

Q: bet E-Cle be anima

A: Let f(x) in L[x] be an irreducible polynomial.

Q: I. Prove the following statement using the indicated proof. Let r € Z. If r is odd, then (r2 +3)(r²…

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Q: 5.). Trueor Falseg b. II true igihe a counter example. an Pfemple. If Foalse, gire b.) A t CB O <(A…

A: Given: The expression is A×B-C=A×B-A×C.

Q: Exercise 5.11. Assume the universe is the set of real numbers R. Are the following propositions…

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Q: What conditions, if any, must be set forth in order for a + b to be equal to n(A U B)?

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Q: 1. PR is represented by which sketch? [A] [B] [C] R [D] R

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Q: h9HXth*x f3.1) he mt itextsS St ,2)

A: Given:

Q: PvQv R= (~P = Q)v (~P = R)

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Q: Let a, b € R. Show that if a ≤ b₁ for every b₁ > b, then a ≤ b. (Hint: draw a picture if you're…

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Q: く3)-9)12> an 41123

A: we have to find the cross product of the given vectors e and f i.e. e x f. also we have to find the…

Q: Suppose that p is false, but q is true. Which of the following statements are also true? Select all…

A: Given the statement p is false, but q is true.

Q: X X P(X=x) 0,10 0,20 0,30 0,40 2 3 4 5 P(2<X<4)=??? O A) 0,20 B) 0,10 C) 0,40 D) 0,50 O E) 0,30

A: Given observations

Q: Let A = {0, {0}, {Ø, {Ø}}}. State whether each of the following statements is true or false: ØCA {0,…

A: Given A=ϕ,ϕ,ϕ,ϕ

Q: Prove the following:  If a <b, then -b < -a

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Q: Suppose that x is a real number and that UCR. Prove that the following two conditions are…

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Q: 3. Show that 1 > 0. 4. Show that if a > b and c < 0, then ac < bc.

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Q: 1. Determine the following, if g = [3, -2,5] and h = [4, 1, −6]. a) g + h b) g- h c) g.h d) Igl

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Refer to B={ ={₁0, -6, 0.23, 3, -1.7, √7}. Determine which elements belong to the given set.…

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Q: . Consider the statement: Let A, B ∈ Z. If 6|A and 10|B, then 4|(A2 + B2). (a) Prove the statement.…

A: 5. Consider the statement: Let A, B ∈ Z. If 6|A and 10|B, then 4|(A^2 + B^2). (a) Prove the…

Q: Write a two-column proof to show that if ZWXYZ ABC, then WXYZ ABC. ZWXY ہے Given: WXYZ ABC Prove:…

A: We can answer the question as below by following the instructions.

Q: If a|b, then a|(bc). Direct proof.

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Q: Let A = {y ∈ Z : 2<y ≤ 14 and y is even}. What is |A|?

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