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Katena32 [7]
3 years ago
8

AB is parallel to CD. EG = FG ˆ AEG = 110° ˆ Calculate the size of DGH.

Mathematics
1 answer:
Sever21 [200]3 years ago
3 0

Opposite exterior angles are congruent.

DGH = AEG

DGH = 110

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Solve 10 + 6(–9 – 4x) = 10(x – 12) + 8.
Luden [163]

Answer: x = 2

Step-by-step explanation:

<em>first, we remove the parentheses. </em>

10 - 54 - 24x = 10x - 120 + 8

<em>then, we just calculate that out.</em>

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<em>next, we move the terms.</em>

-24x - 10x = -112 + 44

<em>then, we collect the like terms and calculate it.</em>

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x = 2

3 0
3 years ago
HELP PLEASE!!!!!!!!!!!!
Bogdan [553]

Answer:

See the explanation.

Step-by-step explanation:

We are given the function f(x) = x² + 2x - 5

Zeros :

If f(x) = 0 i.e. x² + 2x - 5 = 0

The left hand side can not be factorized. Hence, use Sridhar Acharya formula and  

x= \frac{-2+\sqrt{2^{2}-4\times(-5)\times1 } }{2} and  

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⇒ x = -3.45 and 1.45

Y- intercept :

Putting x = 0, we get, f(x) = - 5, Hence, y-intercept is -5.

Maximum point :

Not defined

Minimum point:  

The equation can be expressed as (x + 1)² = (y + 5)

This is an equation of parabola having the vertex at (-1,-5) and axis parallel to + y-axis

Therefore, the minimum point is (-1,-5)

Domain :  

x can be any real number

Range:  

f(x) ≥ - 6

Interval of increase:

Since this is a parabola having the vertex at (-1,-5) and axis parallel to + y-axis.

Therefore, interval of increase is +∞ > x > -1

Interval of decrease:

-∞ < x < -1

End behavior :  

f(x) = x^{2} +2x-5 =x^{2}  (1+\frac{2}{x} -\frac{5}{x^{2} } )

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And as x tends to -∞, then f(x) tends to +∞. (Answer)

7 0
3 years ago
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Nataly_w [17]

Answer:

m = 10\sqrt 3

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Step-by-step explanation:

Required

Find m and n

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\sin(60) = \frac{Opposite}{Hypotenuse}

This gives:

\sin(60) = \frac{m}{20}

Make m ths subject

m = 20 * \sin(60)

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So, we have:

m = 20 *\frac{\sqrt 3}{2}

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\cos(60) = \frac{Adjacent}{Hypotenuse}

This gives:

\cos(60) = \frac{n}{20}

Make n the subject

n = 20 * \cos(60)

\sin(60) =\frac{1}{2}

So, we have:

n = 20 *\frac{1}{2}

n = 10

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2 years ago
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3 years ago
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