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Tems11 [23]
3 years ago
10

Convex hexagon ABCDEF has exactly two distinct side lengths. Side AB measures 5 units, and side BC measures 6 units. The perimet

er of hexagon ABCDEF is 34 units. How many sides of hexagon ABCDEF have measure 6 units?
Mathematics
1 answer:
stira [4]3 years ago
5 0

Answer:

  4

Step-by-step explanation:

If all were measure 5, the perimeter would be 30. The perimeter is 4 more than that. Each side that is 6 instead of 5 adds 1 to the perimeter, so there are 4 sides of length 6.

_____

<em>Check</em>

2×5 + 4×6 = 10 + 24 = 34 . . . . the answer checks OK

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John had 367 stamps in his collection. His uncle gave him some more stamps. Now he has 462 stamps how many stamps did his uncle
evablogger [386]
I believe it is 100 because 462-367=100 so I believe it would be 100
5 0
3 years ago
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Simplify the expression.<br><br> (−5g5h6)2(g4h2)4
Colt1911 [192]

We have to simplify the expression here. The expression given,

(-5g^5h^6)^2(g^4h^2)^4

Now to find (-5g^5h^6)^2 we will use power of a product property. We have to distribute the power here. We will get,

(-5g^5h^6)^2 = (-5)^2(g^5)^2(h^6)^2

= 25(g^5)^2(h^6)^2

Now we will use power of a power property. If given (a^m)^n we will have to multtiply the powers and we will get a^{mn}. So we will get here,

25(g^5)^2(h^6)^2 = 25 g^{10} h^{12}

Now the next part is (g^4h^2)^4

By using power of a power property we will get,

(g^4)^4(h^2)^4 = g^{16}h^8

Now we have to multiply them.

(25g^{10}h^{12}  )(g^{16}h^8)

Now we have to use product of powers property. If we have same base them we will have to add the exponents there. The formula is (a^m)(a^n) = a^{(m+n)}. So we will get here,

25(g^{10} g^{16})(h^{12}  h^{8})

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So we have got the required simplified answer here.

The simplified answer is 25g^{26}h^{20}.

4 0
3 years ago
Read 2 more answers
This is part two of the questions
vodomira [7]

Answer:

Step-by-step explanation:

5 0
3 years ago
Gabrielle's age is three times Mikhail's age. The sum of their ages is 20. What is Mikhail's age?
PtichkaEL [24]

Answer:

Mikhail is 5 years old

Step-by-step explanation:

Represent each member with a variable.

X= Gabrille

Y=Mikhail

X+Y=20 (sum of their ages is 20)

X=3y (Gabrille is 3 times Mikhails age)

Substitute 3Y into the first equation (simultaneous equation)

. 3y+y=20

. 4y=20 (divide both sides by 4)

y=5

To check your answer.

X+5=20

X=20-5

X=15

15 is 5 times 3.

4 0
2 years ago
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What is the slope of a line that goes through the points (1, -5) and (-3, 2)?
guajiro [1.7K]

Answer:

B

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