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Gekata [30.6K]
3 years ago
8

I need to know whether the answer is A, B, C, or D.

Mathematics
1 answer:
Anika [276]3 years ago
7 0
The answer would be c
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The measures of 6 of the interior angles of a heptagon are: 120°, 150°, 135°, 170°, 90°, and 125°. What is the measure of the la
Lilit [14]
1. consider one angle of a (convex) heptagon. From that angle you can construct 7-3=4 diagonals. (-3 because we cannot create diagonals with the adjacent vertices and the angle itself )

2. 4 diagonals create 5 triangular regions. (check the picture)

3. So the sum of the measures of the interior angles of the heptagon is 180°*5=900°.

4. The measure of the remaining 7th interior angle is 900°-(120+150+135+170+90+125)°=110°.

5. The largest exterior angle is when the interior angle is the smallest.

6. The smallest interior angle is 90°, so the largest exterior angle is 180°-90°=90°


Answer: 90°

7 0
3 years ago
5x-4y+-13 and 3x-4y+-11
drek231 [11]
5x + -4y = 13

Solving
-5x + -4y = 13

Solving for variable 'x'.

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

Add '4y' to each side of the equation.
-5x + -4y + 4y = 13 + 4y

Combine like terms: -4y + 4y = 0
-5x + 0 = 13 + 4y
-5x = 13 + 4y

Divide each side by '-5'.
x = -2.6 + -0.8y

Simplifying
x = -2.6 + -0.8y
Simplifying
3x + -4y + -11 = 0

Reorder the terms:
-11 + 3x + -4y = 0

Solving
-11 + 3x + -4y = 0

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 3x + 11 + -4y = 0 + 11

Reorder the terms:
-11 + 11 + 3x + -4y = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 3x + -4y = 0 + 11
3x + -4y = 0 + 11Combine like terms: 0 + 11 = 11
3x + -4y = 11

Add '4y' to each side of the equation.
3x + -4y + 4y = 11 + 4y

Combine like terms: -4y + 4y = 0
3x + 0 = 11 + 4y
3x = 11 + 4y

Divide each side by '3'.
x = 3.666666667 + 1.333333333y

Simplifying
x = 3.666666667 + 1.333333333y
3 0
3 years ago
Read 2 more answers
How many times would you expect to get heads when flipping a coin 60 times
Ivanshal [37]

Answer:

32

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is 1/5 expressed as a percent
andrezito [222]
20% - think of it like this, you have 100 as a full percentage, to help, bring it down to 10. Now, you just have to figure out what 10/5 is, and that’s 2, so now you know you’re looking at intervals of 2, but since your real number is 100, we add a zero to the 2, making it 20, and putting this into a percentage!!

Hope this helps!!
6 0
3 years ago
If
Dmitry [639]

Answer:

Step-by-step explanation:

You would have to do the distributive property and thats how you get your answer.

3 0
3 years ago
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