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3 years ago

Work out the size of one interior angle of a regular 10 sided shape

Mathematics

2 answers:

Alex_Xolod [135]3 years ago

6 0

Answer:

144

Step-by-step explanation:

Step 1: Find the sum of interior angles

Formula: 180(n - 2)

180(10 - 2)

180(8)

1440

Step 2: Assuming the 10-sided polygon's angles are all congruent, divide 1440 by 10

1440/10

144 degrees to each angle for all 10 angles.

bixtya [17]3 years ago

4 0

The answer would be 144

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Abby, Bik, Cari, Dawn, and Ellen collect T-shirts. Abby has the most. Bik has 2.5 times as many T-shirts as Cari. Dawn has 1/3 a

bixtya [17]

A=abby's shirts
b=bik's shirts
c=cari's shirts
d=dawn's shirts
e=ellen's shirts

a> everybody
b=2.5c
d=(1/3)c
a+b+c+d=120
e=2d+1
e=13
oook

e=13=2d+1
13=2d+1
12=2d
d=6

d=(1/3)c
6=(1/3)c
18=c

b=2.5c
b=2.5(18)
b=45

a+b+c+d=120
a+45+18+6=120
a+69=120
a=51

4 0

3 years ago

I’ll give 50 points if you can help

lbvjy [14]

Answer:

Simplifying

5x + x = 54

Combine like terms: 5x + x = 6x

6x = 54

Solving

6x = 54

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '6'.

x = 9

Simplifying

x = 9

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

What is the equation written in vertex from of a parabola with a vertex of (4, –2) that passes through (2, –14)?

vichka [17]

Answer:

y = -3(x - 4)² - 2

Step-by-step explanation:

Given the vertex, (4, -2), and the point (2, -14):

We can use the vertex form of the quadratic equation:

y = a(x - h)² + k

Where:

(h, k) = vertex

a = determines whether the graph opens up or down, and it also makes the parent function wider or narrower.

positive value of a = opens upward
negative value of a = opens downward
a is between 0 and 1, (0 < a < 1) the graph is wider than the parent function.
a > 1, the graph is narrower than the parent function.

h = determines how far left or right the parent function is translated.

h = positive, the function is translated h units to the right.
h = negative, the function is translated |h| units to the left.

k determines how far up or down the parent function is translated.

k = positive: translate k units up.
k = negative, translate k units down.

Now that I've set up the definitions for each variable of the vertex form, we can determine the quadratic equation using the given vertex and the point:

vertex (h, k): (4, -2)

point (x, y): (2, -14)

Substitute these values into the vertex form to solve for a:

y = a(x - h)² + k

-14 = a(2 - 4)² -2

-14 = a (-2)² -2

-14 = a4 + -2

Add to to both sides:

-14 + 2 = a4 + -2 + 2

-12 = 4a

Divide both sides by 4 to solve for a:

-12/4 = 4a/4

-3 = a

Therefore, the quadratic equation inI vertex form is:

y = -3(x - 4)² - 2

The parabola is downward-facing, and is vertically compressed by a factor of -3. The graph is also horizontally translated 4 units to the right, and vertically translated 2 units down.

Attached is a screenshot of the graph where it shows the vertex and the given point, using the vertex form that I came up with.

Please mark my answers as the Brainliest, if you find this helpful :)