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3 years ago

What is the sum of the interior angles of the polygon pictured below?

Mathematics

2 answers:

kkurt [141]3 years ago

8 0

3420°

explanation:

the equation of the sum of interior angles are (n-2)x180

polygon above has 21 sides so you sub n as 21 and plug the equation in the calculator

lisabon 2012 [21]3 years ago

6 0

Answer: 3420

Step-by-step explanation: To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°.

Therefore the formula is (n-2)×180, n being the number of sides. Therefore it's (21-2)×180 which gives you 3420.

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What is the distance between (8, -3) and (4, – 7)?

Dahasolnce [82]

Answer:

Step-by-step explanation:

using

$\sqrt{(x2 - x1) + (y2 - y1)}$

$\sqrt{(8 - 3) + (4 - ( - 7)}$

$\sqrt{5 + 11}$

$\sqrt{16}$

$= 4$

7 0

3 years ago

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Antonia incorrectly solves the equation −2(14−54a)=6 . Her work is shown below.

bekas [8.4K]

Answer:

For the yes/no bit:

step 1: no

step 2: no

step 3: yes

step 4: yes

step 5: no

for the final answer bit: a = 2 3/5 (the last option)

Step-by-step explanation:

yes/no bit:

step 1 is wrong because she didn't multiply $-\frac{5}{4}a$ by -2

step 2 is wrong because she subtracted 1/2 instead of adding it

step 3 is correct because 6 - 1/2 = 11/2

step 4 is correct because she correctly multiplied both sides by 4

step 5 is wrong because she added 5 instead of dividing by -5.

for the final answer bit, I've attached an image below with my working out. hope this helps!

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3 years ago

a 36 inch board is to be cut into three pieces so that the piece is twice as long as the first piece and the third piece is 3 ti

ICE Princess25 [194]

Answer:

First piece = 6 inches

Second piece = 12 inches

Third piece = 18 inches

Step-by-step explanation:

Length of the first piece = x

Length of the second piece = 2x

Length of the third piece = 3x

Total length is 36 inches:

x + 2x + 3x = 36

6x = 36

x = 6

Therefore, the lengths are:

First piece = 6 inches

Second piece = 12 inches

Third piece = 18 inches

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3 years ago

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oksian1 [2.3K]

Answer:

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Step-by-step explanation:

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ikadub [295]

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2 years ago

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