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kondaur [170]
3 years ago
7

In the figure below, ray MP and ray MQ both intersect line LN.

Mathematics
1 answer:
kolezko [41]3 years ago
8 0

Answer:

<em>x = 20°</em>

Step-by-step explanation:

<u>Lines and Angles</u>

Rays PM and MQ divide the straight-line LN angle of 180° into three angles: 45°, 6x-5, and x.

Thus, we have:

45 + 6x - 5 + x = 180

Simplifying:

40 + 7x = 180

Subtracting 40:

7x = 180 - 40

7x = 140

Dividing by 7:

x = 140/7 = 20

x = 20°

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Answer:

Step-by-step explanation:

There is  a point V with ration 6 to 2, therefore we must find the coordinates of point V and the distance from A to V

<u>According to the graph</u>

c^{2}=x^{2}+y^{2}\\c^{2}=8^{2}+4^{2}\\c=\sqrt{64+16}=8.9.4\\sin\alpha =\frac{4}{8.94}

α≅27°

V=2*8.94/6 (ratio 6:2)

V=2.98mile

sin27=\frac{y}{2.98}\\y=sin27*2.98=1.35\\cos27=\frac{x}{2.98}\\x=cos27*2.98=2.65

coordinates of V = (2,65;1.35)

Distance from A to V

d_{AV}=2.98 miles

finally

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8 0
2 years ago
Use the figure to the right to find the value of PT. T is the midpoint of PQ.
o-na [289]

Answer:

PT = 17

Step-by-step explanation:

Since T is the midpoint of PQ, then

PT = TQ , substitute values

4x + 5 = 8x - 7 ( subtract 4x from both sides )

5 = 4x - 7 ( add 7 to both sides )

12 = 4x ( divide both sides by 4 )

3 = x

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4 0
2 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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It is a polynomial function with degree 2. All polynomial functions are defined for all real numbers, therefore the mathematical domain of the function is all real numbers.

-\infty

Factorize the given function.

f(x)=-0.05(x^2-50x-104)

f(x)=-0.05(x^2-50x-104)

f(x)=-0.05(x^2-52x+2x-104)

f(x)=-0.05(x(x-52)+2(x-52))

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Put f(x)=0 to find the x intercepts.

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Equate each factor equal to 0.

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