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ololo11 [35]
2 years ago
5

What value of x makes the vertical parts of the letter N parallel? (4x + 12)°7x° When x = , the alternate interior angles are co

ngruent and the vertical parts of the letter N are parallel.
what is x?
Mathematics
1 answer:
Snezhnost [94]2 years ago
7 0

Answer:

x = 4

Step-by-step explanation:

We assume that the given expessions represent the measures of the alternate interior angles, so are equal.

... (4x + 12)° = 7x°

... 12 = 3x . . . . . . . divide by degrees, subtract 4x

... 4 = x . . . . . . . . . divide by 3

_____

Then the angles are 7x° = 28° = (4x+12)°.

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Consider circle O below. The length of arc BA is 8.4 cm and the length of the radius is 8 cm. The measure of angle AOC is 45°. C
denis23 [38]

Answer:

i) 60°

ii) 14.7 cm

Step-by-step explanation:

length of Arc BA = 8.4 cm

length of radius = 8 cm

angle AOC = 45°

BO = AO = CO = 8 cm

<u>i) What is the measure of Angle BOA </u>

= length of Arc BA  / Radius

= 8.4 / 8  = 1.05 radians = 60.16° ≈ 60°

<u>ii) what is the length of arc BAC</u>

= radius * angle BAC  * \pi /180

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hence length of arc BAC

= 8 * 105 * \pi /180

≈ 14.7 cm

3 0
2 years ago
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Try this solution (see the attachment, it is consists of 3 steps).

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A $525 speaker now sells for 393.75 find the percent of change
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irinina [24]

ANSWER

\frac{x - 4}{2x - 2}

EXPLANATION

The given expression is;

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We factor to obtain;

\frac{(x + 1)(2x + 3)}{(x - 4)(x + 1)}  \div  \frac{2(x - 1)(2x + 3)}{(x - 4)(x - 4)}

Multiply by the reciprocal of the second fraction

\frac{(x + 1)(2x + 3)}{(x - 4)(x + 1)}  \times \frac{(x - 4)(x - 4)}{2(x - 1)(2x + 3)}

Cancel out common factors to get,

\frac{1}{1}  \times \frac{(x - 4)}{2(x - 1)}

\frac{x - 4}{2x - 2}

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