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3 years ago

Analyze the diagram below ad complete the instructions that follows. Identify a pair of vertical angles in the figure.

Mathematics

2 answers:

ehidna [41]3 years ago

5 0

Answer:

None.

Step-by-step explanation:

None of the options represent a pair of vertical angles. Two angles are vertical if they are opposite by two crossed lines and the vertical angles have the same mesaure. For example, in the image the angle DFG and CFE are vertical angles.

attashe74 [19]3 years ago

4 0

The answer is d because if you sketch it out it'll show d to have the vertical angle

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If the product of the integers a, b, and c is 1, then what is the difference between the largest and the smallest possible

svlad2 [7]

We have given that all three of these numbers are integers and the product is one. From this fact, we can deduce that this numbers are 1 and -1. When we put these numbers into the second product, we find that largest number is

$a^{2}b^{3}c^{4} = (-1)^{2} * 1^{3} * (-1)^{4} = 1$

and the smallest number is

$a^{2}b^{3}c^{4} = 1^{2} *(-1)^{3} * 1^{4} = -1$

The difference between them is 2.

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3 years ago

How can you decompose the composite??

zhannawk [14.2K]

Answer:

as a semicircle, a hexagon, and a rectangle

Step-by-step explanation:

The first attachment shows the decomposition according to the answer choice above. It would make area computation about as simple as it could be.

The second attachment shows a decomposition with a circle. It leaves a very odd shape in the middle that is not easily divided into triangles, rectangles, or trapezoids.

The third attachment shows a semicircle, a pentagon, and two triangles. The pentagon is <em>not a regular pentagon</em>, so might require further decomposition in order to determine its area.

8 0

4 years ago

Please help me with this and pls don't answer if you don't know it.

Brrunno [24]

Answer:

See below.

Step-by-step explanation:

The 3 marked angles add up to 360 degrees.

5x + 12 + 10x - 37 + 9x + 1 = 360

24x - 24 = 360

24x = 384

x = 384/24 = 16

The large angle at C = 10(16) - 37

= 160 - 37 = 123 degrees.

So m <BCA = 180 - 123

= 57 degrees (adjacent angles add up to 180).

4 0

3 years ago

Which expression is equivalent to StartFraction (3 m Superscript negative 1 Baseline n squared) Superscript negative 4 Baseline

koban [17]

Answer:

$3m^{10}n^{-11}$

Step-by-step explanation:

Given the expression $\frac{(3m^{-1}n^{2})^{-4} }{(2m^{-2}n)^{3} }$ , we will use laws of indices to get the equivalent expression as shown below;

According to one of the law of indices,

$\frac{a^{m} }{a^{n} } = a^{m-n} \ and\ (a^{m})^{n} = a^{mn}$

$\frac{(3m^{-1}n^{2})^{-4} }{(2m^{-2}n)^{3} }\\= \frac{3m^{4}n^{-8} }{2m^{-6}n^{3} }\\= 3m^{(4-(-6))} * n^{-8-3}\\ = 3m^{10}n^{-11}$

This gives the required expression

8 0

3 years ago

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Quadrilateral ABCD is inscribed in a circle. What’s the measure of angle B

wariber [46]

Well the equation is 6x + x + 19 = 180 or 7x + 19 = 180. You subtract 19 from 180 to get 161. Then you divide 161 by 7 to get x = 23. Finally, you plug x in to get 6(23) + 19 or 157°

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3 years ago