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leonid [27]
2 years ago
5

Can someone help me with this​

Mathematics
1 answer:
SashulF [63]2 years ago
4 0

Answer:

\angle NRQ =85 \degree

Given:

\angle RPQ = 45 \degree \\  \angle PQR = (6x + 4)\degree \\  \angle NRQ = (15x - 5)\degree

Step-by-step explanation:

Property used: <em>An exterior angle of a triangle is equal to the sum of the opposite int</em><em>e</em><em>rior angles.</em>

<em>=  >  \angle RPQ +  \angle PQR =  \angle NRQ \\  \\  =  > 45 \degree + (6x + 4)\degree = (15x - 5)\degree \\  \\  =  > 45\degree + 6x\degree + 4\degree = 15x\degree - 5\degree \\  \\  =  > 49\degree  + 5 \degree= 15x\degree - 6x\degree \\  \\  =  > 54\degree = 9x\degree \\  \\  =  > 9x\degree = 54\degree \\  \\  =  > x\degree =  (\frac{54}{9} )\degree \\  \\  =  > x\degree = 6\degree \\  \\ Putting \: value \: of \: x \: in \:  \angle NRQ  \\   \\  =  > \angle NRQ = (15x - 5)\degree \\  \\  =  >  \angle NRQ = (15 \times 6 - 5) \degree \\  \\  =  >  \angle NRQ =85 \degree</em>

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liq [111]

Answer:

solution for n is \frac{-13}{4}

Step-by-step explanation:

Given an equation containing one variable n.

The equation is as follows:

\frac{-5}{2} =\frac{3}{4} +n

To solve for n we can subtract 3/4 from both the sides

The result is

\frac{-5}{2} -\frac{3}{4} =n\\Take LCD as 4\\\\frac{-10-3}{4} =n

Verify:

Substitute the answer in the given equation.

\frac{-5}{2} =\frac{3}{4} -(\frac{13}{4} )

Both sides equal thus proving our correctness of answer.


3 0
3 years ago
!!50 POINTS!! Please answer all, don't just answer to get the points or you'll be reported. And please, do not copy from the int
diamong [38]
G. The shape would be similar since dilation at the origin is just a translation and a translation doesn't affect the shape's size or shape.

h. They will still be similar because adding length to each side will just make the shape larger, and if the shape hasn't changed (which it hasn't) it will remain similar.

I. This is simple, just write an equation of the changes you could do the shape and it would be similar. You would have to explain how many you should move and from which sides (should be all sides). It is better for you to do this because there are millions of possible equations, and if you use the same one then it might be striked.
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3 years ago
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Studentka2010 [4]

9514 1404 393

Answer:

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Step-by-step explanation:

We assume you want to find the area of the shaded region. (The actual question is not visible here.)

The area of the triangle (including the rectangle) is given by the formula ...

  A = 1/2bh

The figure shows the base of the triangle is 11 m, and the height is 1+5+3 = 9 m. So, the triangle area is ...

  A = (1/2)(11 m)(9 m) = 49.5 m^2

The rectangle area is the product of its length and width:

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The shaded area is the difference between the triangle area and the rectangle area:

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The shaded region has an area of 34.5 square meters.

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2 years ago
Find the system of x.​
marissa [1.9K]

Answer:

61 degrees

Step-by-step explanation:

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Step-by-step explanation:

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