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marissa [1.9K]
3 years ago
9

The angles shown below are supplementary: what is the value of x

Mathematics
2 answers:
Scorpion4ik [409]3 years ago
6 0

Answer:

x=12

Step-by-step explanation:

Supplementary angles add up to 180 degrees.

10x+60=180

Subtract 60 from both sides:

10x=120

Divide 10 to both sides:

x=12

Annette [7]3 years ago
5 0

Answer:

x=12

Step-by-step explanation:

By definition, supplementary angles add up to 180 degrees. Therefore, we can set up the follow equation to solve for x:

10x+60=180,\\10x=120,\\x=\boxed{12}

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The cost of 6 pounds of almonds is $23.28. What is the constant of proportionality that relates y, the cost in dollars, to x, th
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Step-by-step explanation:

y = 23.28/6 x

y = 3.88 x

so, the constant of proportionality is 3.88

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3 years ago
C. Read and analyze the problem, then solve.
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Given parameters:

Total length of curtains bought = 20m

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unknown:

Quantity used for the kitchen = ?

Solution:

Quantity used for the kitchen = Total length - (living room + dining room)

Input the parameters given solve;

   Quantity used for the kitchen = 20 - (8 + 7) = 5m

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3 years ago
A fireman is heading towards a forest fire and needs to know how far away the fire is. The person in the fire tower can determin
hjlf

Answer: 3.82 miles

Step-by-step explanation:

According to the shown figure, we can imagine the scene as a <u>right triangle</u>, where the tower is located at the right angle, and the fireman and the forest fire located at each of the other two vertices.

So, since we are dealing with a right triangle we can use the Pithagorean Theorem, in order to find the distance from the fireman to the fire d, which is also the hypotenuse.

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7 0
4 years ago
Factor 27a^3 b^9+8c^18
Artemon [7]

Answer:

(3ab^3+2c^6)(9a^2b^6-6ab^3c^6+4c^12)

Step-by-step explanation:

Given:

Polynomial 27a^3 b^9+8c^18

Factoring the given polynomial

27a^3b^9 can be written as

=3^3.a^3.b^3^3

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Also 8c^18 can be written as

=2^3.c^6^3

=(2c^6)^3

Hence Polynomial 27a^3 b^9+8c^18 can be written as

=(3ab^3)^3+(2c^6)^3

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=(3ab^3+2c^6)(9a^2b^6-6ab^3c^6+4c^12) !

7 0
3 years ago
Find 3 consecutive even integers whose sum is 2
Tcecarenko [31]

Answer:

Step-by-step explanation:

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3 years ago
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