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igomit [66]
1 year ago
5

A pipe cleaner lay across a wire shelf. The wires that make up the shelf are parallel, and the pipe cleaner is a transversal. Th

e parallel wires are labeled a, b, and, c, and the angles are labeled with numbers.
The measure of one angle is 130°. Which statement is true regarding the 130° angle and angle 3?


They are same-side interior angles, so angle 3 measures 50°.

They are alternate interior angles, so angle 3 also measures 130°.

They are corresponding angles, so angle 3 also measures 130°.

They are alternate exterior angles, so angle 3 measures 50°.

Mathematics
1 answer:
Alla [95]1 year ago
8 0

Answer:

<h2>They are alternate interior angles, so angle 3 also measures 130°.</h2>

Step-by-step explanation:

Notice that the pair of angles are inside parallels, and at different sides of the transversal. So, those angles are alternate interior angles by definition, which means they are congruent.

Therefore, the right answer is B.

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You have two circles, one with radius r and the other with radius R. You wish for the difference in the areas of these two circl
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Answer:

maximum difference of radii =(r-R)=\frac{1}{2\pi ^{2}}

Step-by-step explanation:

We know that area of circle is given by

A=\pi \times (radius)^{2}

For circle with radius 'r' we have

A_{1}=\pi \times (r)^{2}

For circle with radius 'R' we have

A_{2}=\pi \times (R)^{2}

Now according to given condition we have

A_{1}-A_{2}\leq \frac{5}{\pi }

\Rightarrow \pi r^{2}-\pi R^{2}\leq \frac{5}{\pi }\\\\\Rightarrow (r^{2}-R^{2})\leq \frac{5}{\pi ^{2}}\\\\(r+R)(r-R)\leq \frac{5}{\pi ^{2}}\\\\\because (a^{2}-b^{2})=(a+b)(a-b)\\\\(r+R)=10(Given)\\\\\Rightarrow(r-R)\leq \frac{5}{10\pi ^{2}}\\\\\therefore (r-R)\leq\frac{1}{2\pi ^{2}}

Thus maximum difference of radii =(r-R)=\frac{1}{2\pi ^{2}}

6 0
2 years ago
How does the range of g (x) = StartFraction 6 Over x EndFraction compare with the range of the parent function f (x) = StartFrac
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Answer: Option: (B) The range of both f(x) and g(x) is all nonzero real numbers is correct.

Step-by-step explanation: ..................Because I said so............................

3 0
2 years ago
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3 0
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Ronnie wants to lower his utility bills to save money on his monthly expenses. He discovers that if he replaces his water heater
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Alright, lets get started.

Last year, Ronnie's utility expenses were = 1935.67 $

After switching to electric water heater to solar water heater, his yearly utility bills get reduced.

This year, Ronnie's utility expenses are = 862.40 $

So the difference on utility bills Ronnie saved = 1935.67 - 862.40

so, difference Ronnie saved = 1073.27 $

So, the percentage of amount Ronnie saved = \frac{1073.27}{1935.67} *100

Percentage of amount Ronnie saved = 55.45 %    

Hence, 55.45 % Ronnie save on his utlility bills by switching to a solar water heater.   :    Answer

Hope it will help :)


5 0
1 year ago
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