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3 years ago

A. 15 degrees B. 45 degrees C. 30 degrees D. 60 degrees

Mathematics

1 answer:

lara [203]3 years ago

7 0

Answer: C. 30 degrees

Step-by-step explanation:

By definition, an hexagon is a polygon with six sides.

The sum of the interior angles of an hexagon is 720 degrees.

Based on this, the measure of eac interior angle is:

$interior\ angle=\frac{720\°}{6}=120\°$

Therefore, the measure of ∠1 is:

$\angle 1=\frac{120\°}{2}\\\\ \angle 1=60\°$

So, to find the angle ∠2, you can divide ∠1 by 2:

$\angle 2=\frac{60\°}{2}\\\\ \angle 2=30\°$

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Solve for x. 25 - 3x = -5(1 - x) - 2x

grandymaker [24]

Answer:

$x = 5$

Step-by-step explanation:

25 - 3x = -5(1 - x) - 2x

We have to first get rid of the parenthesis:

$-5 * 1$ ==> -5

$-5 * -x$ ==> 5x

So now you should have:

25 - 3x = -5 + 5x - 2x

Combine like terms:

25 - 3x = -5 + 5x - 2x

25 - 3x = -5 + 3x

Add 3x to both sides:

25 - 3x = -5 + 3x

+ 3x = + 3x

And you should have:

25 = -5 + 6x

Add 5 to both sides:

25 = -5 + 6x

+5 = +5

30 = 6x

Divide 6 to both sides:

$\frac{30}{6}$ = $\frac{6x}{6}$

5 = x

3 0

3 years ago

Read 2 more answers

Cynthia is constructing a circle inscribed in a triangle. She has partially completed the construction, as shown below. What sho

Tatiana [17]

A. Connect vertex B to the arc markings to complete the angle bisector.

3 0

4 years ago

Read 2 more answers

Help? : )) thank yall

elena-14-01-66 [18.8K]

Answer:

Third option: $-10x^7y^2$

Step-by-step explanation:

$12x^4\left(-\frac{5}{6}x^3y^2\right)$

Remove brackets:

$12x^4\times-\frac{5}{6}x^3y^2$

Multiply the $x^2$ :

$12\times-\frac{5}{6}x^{4+3}\times y^2$

$12\times - \frac{5}{6}x^7y^2$

Multiply:

$-\frac{5\times \:12x^7y^2}{6}$

$-\frac{60x^7y^2}{6}$

Divide:

$-10x^7y^2$

6 0

4 years ago

Read 2 more answers

Si una llave vierte 6 1/3 litros de agua por minuto, ¿cuánto tiempo tardará en llenar un depósito de 88 2/3 litros de capacidad?

Ierofanga [76]

Answer: 14 minutes

Step-by-step explanation:

Given: A tap pours $6\dfrac13$ liters of water per minute.

To find : Time taken to fill an $88 \dfrac23$ liters capacity tank.

which is given by :-

Time = $88 \dfrac23\div 6\dfrac13$ minutes

$=\dfrac{3\times88+2}{3}\div\dfrac{3\times6+1}{3}$ minutes

$=\dfrac{266}{3}\div \dfrac{19}{3}$ minutes

$=\dfrac{266}{3}\times\dfrac{3}{19}$ minutes

$=\dfrac{266}{19}=14\text{ minutes}$

Hence, it will take 14 minutes to fill an $88 \dfrac23$ liters capacity tank.

6 0

3 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.

Mars2501 [29]

Answer

-1 x + 2y = 4

Explanation

The first step is to get the gradient of the line.

The two points in the line are; (4,0) and (0,2).

slope = (2 - 0)/(0 - 4)

= 2/-4

= -1/2

To get the function we use one of the point (0,2) and a general point (x,y).

1/2 = (y - 2)/(x - 0)

1/2 = (y - 2)/x

(1/2)x = y -2

x = 2y - 4

x - 2y = -4

-1 x + 2y = 4

3 0

3 years ago