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Montano1993 [528]
3 years ago
8

1. What is the measure of each interior angle of a regular hexagon?

Mathematics
1 answer:
Volgvan3 years ago
5 0

1. The formula is 180(n-2)/n, where n=sides. so hexagon has 6 sides, so it would be 180(6-2)/6=180(4)/6=720°/6=60° per side.

2. The sum of measures of ANY polygon is ALWAYS 360°

3.  Notice that there are 6 sides. This means the total interior angles are 720°. x=127°

4. now, it's talking about a SINGLE exterior angle. So the interior angle is always 360/n, where n=5 here, so 360=5=72°

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Solve 30 = −5(6n + 6), justifying each step with an algebraic property.
Liula [17]
1) property of distribution: 30 = -30n - 30
2) inverse property of addition: 60 = -30n
3) inverse property of multiplication: -2 = n

step 2: subtract 30 from both sides
step 3: divide -30 from both sides
7 0
3 years ago
I need help please.
GuDViN [60]

Answer:

The factors of 2q²-5pq-2q+5p are (2q-5p) (q-1)....

Step-by-step explanation:

The given expression is:

2q²-5pq-2q+5p

Make a pair of first two terms and last two terms:

(2q²-5pq) - (2q-5p)

Now factor out the common factor from each group.

Note that there is no common factor in second group. So we will take 1 as a common factor.

q(2q-5p) -1(2q-5p)

Now factor the polynomial by factoring out the G.C.F, 2q-5p

(2q-5p) (q-1)

Thus the factors of 2q²-5pq-2q+5p are (2q-5p) (q-1)....

4 0
3 years ago
The school that Kathryn goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 1
Kobotan [32]

Answer:

Step-by-step explanation:

a+s=14

a=14-s

a+8s=56, using a from above in this equation gives

14-s+8s=56

14+7s=56

7s=42

s=6

a=14-s

a=14-6=8

So student tickets cost $6 and adult tickets cost $8.

5 0
2 years ago
Help on this one please
kvv77 [185]

Answer:

d ≈ 1732 ft

Step-by-step explanation:

Angle of elevation = Angle of depression

Following this truth,

m∠PAQ (Angle of depression) = m∠APB (Angle of elevation) = 30°

By applying tangent rule in the given triangle ABP,

tan(30°) = \frac{AB}{PB}

\frac{1}{\sqrt{3}}=\frac{1000}{d}

d = 1000√3

d = 1732.05

d ≈ 1732 ft

6 0
2 years ago
haru rides his bike from his home for 30 minutes at a fast pace. He stops to rest for 20 minutes, and then continues riding in t
Bezzdna [24]

Using the given information and what we know about linear equations, we will find the sketch below.

<h3>How to sketch a graph?</h3>

Here we need to analyze each part separately.

In a coordinate axis where the y-axis represents distance and the x-axis represents time, we will have that:

First, we know that he rides for 30 minutes at a given speed, this will be represented with an increasing linear function.

Then he stops for 20 minutes, this is represented with a horizontal line.

Finally, he returns the motion, but slower than before, so the slope of this line will be smaller than the first one.

So for 0 to 30 we have an increasing linear equation, then for 30 to 50 we have a constant horizontal line, then for 50 to 80 we have another increasing linear equation

The sketch can be seen below.

If you want to learn more about linear equations, you can read:

brainly.com/question/4074386

6 0
2 years ago
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