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lys-0071 [83]
3 years ago
15

If angle y measures 65 degrees how much does x measure?

Mathematics
2 answers:
belka [17]3 years ago
8 0

Answer:

supplementary angles add up to 180°

given y=65° thus...

x+y=180°

x + 65°=180°

x=180°- 65°

x=115°

Tamiku [17]3 years ago
4 0

Answer:

x = 115°

Step-by-step explanation:

x ; y = suplementary =>

=> x + y = 180°  } => x = 180° - 65° = 115°

    y = 65°

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The sum of two numbers is 46. The larger number is two less than three times the smaller number. Find the numbers.
melamori03 [73]

Answer: The numbers are: <u>x = 34, y = 12</u>

Step-by-step explanation:

Lets say the numbers are x and y. The two equations are:

x+y=46

x= 3y-2

Next you use substitution for x in the first equation which brings you to

3y-2 + y = 46 which simplyfies to:

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8 0
3 years ago
A large stand of fir trees occupies 24 hectares. The trees have an average density of 1 tree per 20m squared. A forester estimat
Leona [35]

Answer:

The yield of the stand if one-tenth of the trees are cut is 360000 board-feet.

Step-by-step explanation:

First, let is find the total amount of fir trees that occupies the area of 24 hectares. (1 hectare = 10000 square meters)

n = \sigma \cdot A

Where:

\sigma - Surface density, measured in trees per square meter.

A - Total area, measured in square meters.

Given that \sigma = \frac{1}{20}\,\frac{tree}{m^{2}} and A = 24\,h, the total amount of fir trees is:

n = \left(\frac{1}{20}\,\frac{trees}{m^{2}}  \right)\cdot (24\,h)\cdot \left(10000\,\frac{m^{2}}{h} \right)

n = 12000\,trees

It is known that one-tenth of the tress are cut, whose amount is:

n_{c} = 0.1 \cdot n

n_{c} = 0.1 \cdot (12000\,trees)

n_{c} = 1200\,trees

If each tree will yield 300 board-feet, then the yield related to the trees that are cut is:

y = S\cdot n_{c}

Where:

S - Yield of the tress, measured in board-feet per tree.

n_{c} - Amount of trees that will be cut, measured in trees.

If n_{c} = 1200\,trees and S = 300\,\frac{b-ft}{tree}, then:

y = \left(300\,\frac{b-ft}{tree} \right)\cdot (1200\,trees)

y = 360000\,b-ft

The yield of the stand if one-tenth of the trees are cut is 360000 board-feet.

8 0
3 years ago
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