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3 years ago

Please help me. If △NMK ≅ △TRP, then answer the following questions:

Mathematics

1 answer:

Natalka [10]3 years ago

3 0

Answer:

Answers are below.

Step-by-step explanation:

a. △MNK ≅ △RTP

b. TR ≅ NM

c. x = 7

hope this helps and is right!! p.s. i really need brainliest :)

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Solve the rational equation x divided by 6 equals x squared divided by quantity x minus 1 end quantity, and check for extraneous

pychu [463]

Answer:

$x = 0$ and $x = \textrm{negative one fifth}$

Step-by-step explanation:

Given:

The rational equation to solve is given as:

$\frac{x}{6}=\frac{x^2}{x-1}
$

We use the cross multiplication rule and multiply the numerators one side with the denominators of the other side. Therefore,

$x\times (x-1)=6\times x^2\\x^2-x=6x^2\\\textrm{Bringing all variables to the right side, we get:}\\6x^2-x^2+x=0\\5x^2+x=0\\x(5x+1)=0\\x=0\ or\ 5x+1=0\\x=0\ or\ x=-\frac{1}{5}
$

Now, for $x=0$ , the rational equation is equal to 0. So, $x=0$ is a solution.

Also, $x=-\frac{1}{5}$ is also a solution as the equation's denominator is defined at that point.

So, no extraneous solution.

8 0

4 years ago

Suppose the area of a circle is 201.0624 square feet. What's the diameter of the circle? (Use π = 3.1416.)

sergeinik [125]

Answer:

Step-by-step explanation:

Area of circle Formula: A = πr²

d = 2r

Simply plug in what you know:

201.0624 = 3.1416r²

64 = r²

r = 8

d = 2(8)

d = 16

8 0

3 years ago

PLEASEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Arisa [49]

Answer:

A = 18.85ft^2
114cm^2
835.578 in^2
24o yd^2

Step-by-step explanation: I hope it helps :)

$Surface\: area=\:2\pi rh+2\pi r^2\\h = 2ft\\diameter = 2ft\\Radius = d/2=2/2=1ft\\\\A=( 2\times 3.141\times1\times2)+(2\times 3.141 \times 1^2)\\A = (12.564)+(6.282)\\A = 18.846\\A = 18.85ft^2$

$Area \:of\: square = A=a^2\\A = 3^2\\A=9\\Area\:of \:one \:rectangle\: = (l\times b)\\ A = (8\times 3)\\A = 24cm^2\\\\A = 2(Area\: of\: square)+2(Area\: of \:rectangle)\\A = 2(9)+4(24)\\A = 18+96\\A =114cm^2$

$Area \: of\: base=?\\ r = 7\:in\\h = 12\:in\\A = \pi \times r^2\\A = 3.141 \times 7^2\\A = 153.909\\\\Height \: of \:the \:cylinder = 12\:inches\\Circumference = 2\pi \times r\\C= 2 \times 3.141 \times 7\\ C =43.98\\\\S.A= 2B+Ch\\S.A = 2(153.909)+43.98(12)\\S.A = 307.818+527.76\\S.A =835.578$