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Lelechka [254]
3 years ago
10

What are the coordinates of the point that is

Mathematics
1 answer:
photoshop1234 [79]3 years ago
5 0

Answer:

-2,4

----%53$

%58६2%-8

4८३346८

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In the figure below, a shaded polygon, which has equal sides and equal angles, is partially covered with a sheet of blank paper.
Zepler [3.9K]

Answer:

The polygon has 9 sides ⇒ D

Step-by-step explanation:

This is a tricky question

∵ The shaded figure is a quadrilateral

∴ The sum of the measures of its angles is 360

∵ Its angles are <u>x, y, and two vertices of the polygon</u>

∵ All angles of the polygon are equal in mesures

∴ x + y + m of 2 vertices = 360°

∵ x + y = 80

→ Substitute the value of x + y above by 80

∴ 80 + m of 2 vertices = 360

→ Subtract 80 from both sides

∴ m of 2 vertices = 280

→ Divide the two sides by 2

∴ m of 1 vertex = 140°

∴ The measure of each angle of the polygon is 140°

<em>The sum of the measures of the </em><em>interior angle and the exterior angle</em><em> at any vertex of the polygon is </em><em>180°</em>

∵ m of interior ∠ + m of exterior ∠ = 180° ⇒ at any vertex

∴ 140 + m of exterior ∠ = 180°

→ Subtract 140 from both sides

∴ m of exterior ∠ = 40°

∴ The measure of each exterior angle is 40°

<em>The </em><em>sum </em><em>of the measures of the </em><em>exterior angles</em><em> of any polygon is </em><em>360°</em>

∵ The measure of each exterior angle of the given polygon is 40°

∴ The number of the angles of the polygon = 360 ÷ 40 = 9

∵ The number of the angles of the polygon = the number of its sides

∴ The polygon has 9 sides

4 0
2 years ago
If the temperature is 3 degrees and falls by 12 degrees what is the new temperature
ella [17]
-9 degrees is the answer
4 0
3 years ago
A farmer has 20 acres to plant in wheat and barley. He has to plant at least 15 acres. Wheat costs $200 per acre to plant and ba
maria [59]

Answer:

  • 16 acres of barley only (no acres of wheat)

Step-by-step explanation:

A graph shows cost of planting puts an upper limit on planted area. The lower limit is provided by the requirement to plant at least 15 acres. The vertices of the feasible solution region are ...

  (wheat acres, barley acres) = {(0, 15), (0, 16), (3, 12)}

The profit associated with these scenarios will be ...

  for (0, 16): 16·350 = 5600

  for (3, 12): 3·450 +12·350 = 1350 +4200 = 5550

To maximize profit, the farmer should plant 16 acres of barley.

4 0
3 years ago
What would be the most logical first step for solving this quadratic equation?
Sav [38]

Answer:

D. Subtract 4 from both sides

Explanation:

I just learned about quadratic equations in school. The first step of solving quadratic equations is to make sure it is in standard form and equal to 0.

Standard form:

ax^2 + bx + c = 0

4 0
2 years ago
Solve the system by subtitution y = 3x + 18 y = 5x
elena-14-01-66 [18.8K]

Answer:

x=9

Step-by-step explanation:

y=3x+18=5x

thus 3x+18=5x

subtract 3x from both sides     18=2x

simplify for x       x=9

3 0
3 years ago
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