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4 years ago

10

If all of the angles of a hexagon are congruent, then what is the measure of each angle?

2 answers:

erastovalidia [21]4 years ago

7 0

It should be 120°
Someone else correct me if I'm wrong.

Hope this helps!

Nastasia [14]4 years ago

4 0

<span>he total number of internal degrees is (n-2)*180 = 4*180 = 720 degrees.
-----
let a = one of the congruent angles.
you have:
angles 1, 2, and 3 = a.
-----
if a = 2 * angle 4, then angle 4 = 1/2 * a
-----
if a = 1/2 * angle 5, then angle 5 = 2 * a
-----
we have:
angle 1 = a
angle 2 = a
angle 3 = a
angle 4 = 1/2 * a
angle 5 = 2 * a
angle 6 = 115
</span><span>-----
since the sum of the angles is equal to 720, we have:
3*a + 2*a + 1/2*a + 115 = 720
combine like terms to get:
5.5 * a + 115 = 720
subtract 115 from both sides to get:
5.5 * a = 720 - 115 = 605
divide both sides by 5.5 to get:
a = 720/5.5 = 110
-----
angle 1, 2, and 3 are each 110 degrees.
angle 4 = 55 degrees
angle 5 = 220 degrees
angle 6 = 115 degrees
-----
the question is:
What is the measure of the smallest angle?
the answer is:
55 degrees.</span>

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75 percent of 104 is the same as 80 percent of what number?

Mashutka [201]

104*.75=78
78/8=9.75(divide by 8 because 80%/8=10%)
9.75*10=97.5
97.5*.8=78

75% of 104 is 78 which is also 80% of 97.5

Your answer is 97.5

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3 years ago

What one was c because all them look alike but different solutions

ElenaW [278]

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3 years ago

85% of 2500m pls calculate this

mars1129 [50]

Answer:

2,125m

Step-by-step explanation:

85% = 85/100

85/100 = x/2500m

Solve by cross multiplying

85(2500) = 100(x)

212,500 = 100x

Divide by 100 on both sides

x = 2,125m

Hope this helps :)

8 0

3 years ago

Read 2 more answers

A rectangular garden is extended 4% on the long sides and 8% on the short sides. To the nearest hundredth of a percent, by what

liq [111]

Answer: 12.32%

Step-by-step explanation:

1. $x$ is the original long side and $y$ is the original short side.

2. The area of the original rectangle is $xy$ .

3. The rectangle is extended 4% on the long sides and 8% on the short sides. therefore, the new long side is:

$\frac{104}{100}x=\frac{26}{25}x$

4. And the new short side is:

$\frac{108}{100}y=\frac{27}{25}y$

5. The new area is:

$(\frac{26}{25}x)(\frac{27}{25}y)=\frac{702}{625}xy$

6. The percentage of increase is calculated by substracting the new area and the original area:

$\frac{702}{625}xy-xy=0.1232xy$

7. The result is:

(0.1232)(100)=12.32%

3 0

3 years ago

Consider the following statement. ∀ integer d, if 6 d is an integer then d = 3. Which of the following is a negation for the sta

omeli [17]

Answer:

The correct option is the first:

∃ an integer d such that 6d is an integer and d ≠ 3

Step-by-step explanation:

If 6d is an integer, then d = 3

Let's divide the statement into two:

Let "If 6d is an integer" be p and "then d = 3" be q.

The statement is a conditional statement. Therefore, we have

p ⇒ q

The negation of p ⇒q, ¬(p ⇒ q) ≡ p ∧ ¬q

I have attached an image proving the above.

Using this: ¬(p ⇒ q) ≡ p ∧ ¬q

Then, we leave p as it is and negate q.

P is "if 6d is an integer"

q is "then d = 3," hence ¬q is "then d ≠ 3."

Therefore, the negation of "If 6d is an integer, then d = 3" is "If 6d is an integer, then d ≠ 3."

The correct option is the first:

∃ an integer d such that 6d is an integer and d ≠ 3

6 0

3 years ago