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Sonja [21]
4 years ago
13

Can someone please help me​

Mathematics
2 answers:
Maksim231197 [3]4 years ago
7 0

Answer:

a = 84°

Step-by-step explanation:

∠ QPR and ∠ TPR are adjacent and supplementary, thus

∠TPR = 180° - 123° = 57°

Given there are parallel lines , then

∠ PTR = 27° ( alternate angle )

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ TRS is an external angle , thus

∠ TRS = a = 57° + 27° = 84°

Scrat [10]4 years ago
3 0

Answer:

84 degrees.

Step-by-step explanation:

m < R + m < T = 123  (External angle of a triangle theorem)

m < T =  27 degrees (alternate angle to 27 degrees).

So m < R = 123 - 27 = 96 degrees.

Finally m < a = 180 - 96 = 84 degrees  ( as it is adjacent to < R)

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The graph of f(x)=4 cos(1/2x)-3 differs from the graph of g(x)=4 cos(x)-3, f(x) is stretched <span>horizontally.</span> 
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Read 2 more answers
Graph<img src="https://tex.z-dn.net/?f=fx%3D%20%7Cx%2B1%7C%20%2B2" id="TexFormula1" title="fx= |x+1| +2" alt="fx= |x+1| +2" alig
AURORKA [14]

Answer:

The graph is shown in the following image

Step-by-step explanation:

The parent function of f(x) = | x + 1 | +2  is y = | x |

The graph of y = | x | is the union of two lines:

y = x       for    x\geq0

y = -x      for    x

The vertex of this graph is in point (0,0)

<em>The graphic is shown in the attached image</em>.

Then, if we do  y = f(x + 1)   to the parent function we get:

y = | x + 1 |

This transformation shifts the graph of  y = |x|   1 unit to the left

Then, if we make the transformation  y = f(x) + 2  to the function  y = | x + 1 |   we obtain:

y = | x + 1 | +2

This transformation displaces the graph of the function   y = | x + 1 |    2 units up on the y axis.

So, if the vertex of the main function  y = | x |  was at point (0,0), the vertex of the function  f(x) = |x + 1| +2  has its vertex in the point (-1, 2).

<em>The graph is shown in the following image</em>

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3 years ago
Divide x5+15x4+54x3−25x2−75x−34 by x+8.
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we are given

x^5+15x^4+54x^3-25x^2-75x-34

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we can use long division

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Remainder=-10

we can also write it as

\frac{x^5+15x^4+54x^3-25x^2-75x-34 }{x+8}=(x^4+7x^3-2x^2 -9x-3)-\frac{10}{x+8}..............Answer

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GaryK [48]

Answer:

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Step-by-step explanation:

I used a graphing tool to graph the system of equations. The the two lines intercept at the point (2,-10). So, (2,-10) is the solution.

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tiny-mole [99]

Answer:

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Hope this helps.

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