What is the remainder?

Mathematics

1 answer:

valkas [14]3 years ago

6 0

The answer is C. Write 3x as a difference, and Use the commutative property to reorder the terms.

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triangle has sides measuring 2 inches and 7 inches If x represents the length in inches of the third side which inequality gives

il63 [147K]

We know that
The sum of the lengths of any two sides of a triangle is greater than the length of the third side (Triangle Inequality Theorem)
so
inequality 1
 $(2+7) \ \textgreater \ x \\ 9 \ \textgreater \ x \\ x \ \textless \ 9 in$

inequality 2
 $(x+2) \ \textgreater \ 7 \\ x \ \textgreater \ 7-2 \\ x \ \textgreater \ 5 in$

the answer is
 $5 in \ \textless \ x \ \textless \ 9 in$

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2 years ago

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sergejj [24]

X - distance between Jie and Xiaoqing.

$\dfrac{x}{24\sqrt{5}}=\sin30^\circ\\\\\\\dfrac{x}{24\sqrt{5}}=\dfrac{1}{2}\qquad\qquad\qquad\text{(cross multiply)}\\\\\\2x=24\sqrt{5}\quad|:2\\\\x=12\sqrt{5}\\\\\boxed{x\approx26.83}$

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2 years ago

Triangle XYZ has vertices X(–1, –3), Y(0, 0), and Z(1, –3). Malik rotated the triangle 90° clockwise about the origin. What is t

OLga [1]

Answer:

Option D.

Step-by-step explanation:

It is given that triangle XYZ has vertices X(–1, –3), Y(0, 0), and Z(1, –3).

Malik rotated the triangle 90° clockwise about the origin. So, rule of rotation is

$(x,y)\to (y,-x)$