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Answer 1
Answer:

Answer:

x is 100 degrees because vertical angles are congruent


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Plz answer this Asap ....How does the size of a circular object affect the relationship of the circumference divided by the diameter?

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It doesn't. The circumference of a circle is 2*pi*radius and the diameter is 2*radius, so the circumference divided by the diameter is pi, which is the ratio of circumference to diameter.
it is the 56 dimartie over 63

4 ft'1. MAFS.7.G 2.6 V Bh Use the figure above, and find the volumeof the given figure.O 10 ft cubedO 20 ft cubedO 40 ft. cubedO 80 ft. cube

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V = Bh

B = area of the base of the triangles

Area of the triangle = hb/2 = (8ft * 5ft)/2 = 40ft² / 2 = 20 ft²

V = 20 ft² * 4 ft = 80 ft³

Volume of the triangular prism is 80 ft³

The sum of remainders obtained when x3+(k+8)x +k is divided by x-2 and when it is divided by x+1 is 0 fine the value of k

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Answer: k=-5


Step-by-step explanation:

The remainder theorem says that for any polynomial p(x) , if we divide it by the binomial x−a , the remainder is equal to the value of p(a) .

Therefore for p(x)=x^3+(k+8)x+k if it is divided by x-2 and x+1 then its remainder must be p(2) and p(-1)

where, p(2)=2^3+(k+8)2+k=8+2k+16+k=3k+24

p(-1)=(-1)^3+(k+8)(-1)+k=-1-k-8+k=-9

According to the question,

p(2)+p(-1)=0

\Rightarrow3k+24-9=0\n\Rightarrow3k+15=0\n\Rightarrow3k=-15\n\Rightarrow\ k=(-15)/(3)\n\Rightarrow\ k=-5


Solve the equation below for x
9(x - 5) = 4x - 5

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9(x-5)=4x-5\n\n9\cdot x+9\cdot(-5)=4x-5\n\n9x-45=4x-5\ \ \ \ /+45\n\n9x-45+45=4x-5+45\n\n9x=4x+40\ \ \ \ /-4x\n\n9x-4x=4x-4x+40\n\n5x=40\ \ \ \ /:5\n\n5x:5=40:5\n\nx=8

How do I work out the following simultaneous equations?x+3y=11 and 2x-y=11

Thank you, this is part of my half term homework and I really need to understand how to do this as soon as possible , thank you!

Answers

I'll show you two ways.

By substitution:

x+3y=11\n2x-y=1\n\nx=11-3y\n2x-y=1\n\n2(11-3y)-y=1\n22-6y-y=1\n-7y=-21\ny=3\n\nx=11-3\cdot3\nx=11-9\nx=2\n\n\boxed{(x,y)=\left(2,3\right)}

By elimination:

x+3y=11\n 2x-y=1|\cdot 3\n\nx+3y=11\n\underline{6x-3y=3}\n7x=14\nx=2\n\n 2+3y=11\n3y=9\n y=3\n\n\boxed{(x,y)=\left(2,3\right)}

How can this expression be simplified? Expression: 3+2•a+b•4|2-4 (The | means divide) Use the correct order of operations (P.E.M.D.A.S.)A) 2a+2b-1
B) 2a+2b-2
C) 2a-2b+3
D) 5a+2b-4

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3+2*a+b* (4)/(2)-4=2a+2b+3-4=2a+2b-1
Answer: A
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