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ehidna [41]
3 years ago
7

Two angles of a triangle have the same measure and the third one is 39 degrees greater than the measure of each of the other two

. find the measure of the largest angle in the triangle.
Mathematics
1 answer:
frez [133]3 years ago
3 0

Answer:

Step-by-step explanation:

By the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180.  If two of the angles are the same, then we will call them x.  The third one is 39 more than the measure of each of the other angles, so the third angle measures x + 39.  In equation form,

x + x + x + 39 = 180 and

3x + 39 = 180 and

3x = 141 so

x = 47

That means that the largest angle measures 47 + 39 which is 86

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Toms garden is 8 acres. Two fifths is corn. Of that, three tenths is early corn and one tenth is late corn. How many acres of ea
Charra [1.4K]

Answer:

He have <u>0.96 acres</u> of early corn.

Step-by-step explanation:

Given:

Toms garden is 8 acres. Two fifths is corn.

Of that, three tenths is early corn and one tenth is late corn.

Now, to find the acres of early corn.

Total garden = 8 acres.

Total Corn in garden = \frac{2}{5}\ of\ 8=\frac{2}{5} \times 8=\frac{16}{5} acres.

<em>As, given of the total corn in garden, three tenths is early corn.</em>

Now, to get the early corn he have:

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3 0
3 years ago
What is the solution to the system of equations? 3x-6y=-12 " " x-2y=10 Use the substitution method to justify that the given sys
Thepotemich [5.8K]

The two lines in this system of equations are parallel

Step-by-step explanation:

Let us revise the relation between 2 lines

  • If the system of linear equations has one solution, then the two line are intersected
  • If the system of linear equations has no solution, then the two line are parallel
  • If the system of linear equations has many solutions, then the two line are coincide (over each other)

∵ The system of equation is

3x - 6y = -12 ⇒ (1)

x - 2y = 10 ⇒ (2)

To solve the system using the substitution method, find x in terms of y in equation (2)

∵ x - 2y = 10

- Add 2y to both sides

∴ x = 2y + 10 ⇒ (3)

Substitute x in equation (1) by equation (3)

∵ 3(2y + 10) - 6y = -12

- Simplify the left hand side

∴ 6y + 30 - 6y = -12

- Add like terms in the left hand side

∴ 30 = -12

∴ The left hand side ≠ the right hand side

∴ There is no solution for the system of equations

∴ The system of equations represents two parallel lines

The two lines in this system of equations are parallel

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/8628615

#LearnwithBrainly

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3 years ago
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