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1 year ago

Find the value of x in each case:(Will give brainliest)

Mathematics

1 answer:

Novay_Z [31]1 year ago

6 0

Answer:

x= 22.5°

Step-by-step explanation:

∠DEA= ∠BAE (alt. ∠s, DE// AB)

Substitute ∠DEA= 2x:

∠BAE= 2x

∠AEB +∠BEF= 180° (adj. ∠s on a str. line)

Substitute ∠BEF= 4x:

∠AEB +4x= 180°

∠AEB= 180° -4x

∠ABE +∠CBE= 180° (adj. ∠s on a str. line)

Substitute ∠CBE= 6x:

∠ABE +6x= 180°

∠ABE= 180° -6x

∠BAE +∠AEB +∠ABE= 180° (∠ sum of triangle)

2x +180° -4x +180° -6x= 180°

-8x +360°= 180°

8x= 360° -180°

8x= 180°

x= 180° ÷8

x= 22.5°

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Please help. 10 points and brainliest.

Snezhnost [94]

Answer:

$\frac{a^2}{b^2}$

Step-by-step explanation:

Apply the exponent rule $a^b*a^c=a^b+c$ to a

$a^4*a^-^2=a^4^-^2=a^2$

$b^3a^2b^-^5$

Apply the exponent rule to b

$b^3*b^-^5=b^3^-^5=b^-^2$

Apply the exponent rule $a^-^b=\frac{1}{a^b}$

$b^-^2=\frac{1}{b^2}=\frac{1}{b^2}a^2=\frac{a^2}{b^2}$

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

This line has a Y-intercept of <br><br>A. 0<br><br>B. 1<br><br>C.2<br><br>D.3

insens350 [35]

Answer:

The y-intercept is 3 aka. (0,3)

Step-by-step explanation:

The slope is 1 (since (6-4)/(3-1)=2/2=1)

y=1x+b

4=1+b

3=b

4 0

2 years ago

Read 2 more answers

Find the interior angle of a regular polygon which has 6 sides

AveGali [126]

Answer:

120°.

Step-by-step explanation:

The sum of all interior angles in a polygon with $n$ sides ( $n\in \mathbb{Z}$ , $n \ge 3$ ) is equal to $(n - 2) \cdot 180^{\circ}$ . (Credit: Mathsisfun.)

The polygon here has 6 sides. $n = 6$ . Its interior angles shall add up to $(6 - 2) \times 180^{\circ} = 720^{\circ}$ .

Consider the properties of a regular polygon. (Credit: Mathsisfun.)

All sides in a regular polygon are equal in length.
All angles in a regular polygon are also equal.

There are six interior angles in a polygon with 6 sides. All six of them are equal. Thus, each of the six interior angle will be

$\displaystyle \frac{1}{6}\times 720^{\circ} = 120^{\circ}$ .

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2 years ago

Consider the line y=9x-1.

OLEGan [10]

Step-by-step explanation:

Slope=9

$y−y1=m(x−x1)$

When line is parallel

y+5=9(x-6)

y+5 = 9x - 54

When line is perpendicular

y+5=-1/9(x-6)

9(y+5)= -1(x-6)

9y + 45 = -x+6

<h2>MARK ME AS BRAINLIST </h2>

5 0

1 year ago