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Nesterboy [21]
3 years ago
15

Polygon C CC has an area of 40 4040 square units. Kennan drew a scaled version of Polygon C CC using a scale factor of 1 2 2 1 ​

start fraction, 1, divided by, 2, end fraction and labeled it Polygon D DD. What is the area of Polygon D DD?
Mathematics
1 answer:
xenn [34]3 years ago
8 0

Answer:

10 square units.

Step-by-step explanation:

Area of Polygon C = 40 square units.

Scale factor used in obtaining polygon D = \dfrac12

To obtain the area of the new polygon, we multiply the area of the polygon from which it was derived by the square of the scale factor.

Therefore:

Area of Polygon D

=40 \times (\frac12)^2\\\\=40 \times \frac14\\\\=10$ square units

The area of polygon D is 10 square units.

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Answer:

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Step-by-step explanation:

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3 years ago
The integer whose product with (-1) is 22 is​
nadya68 [22]

Answer:

-22

Step-by-step explanation:

According to the question you need to find a number that gives the result of 22 when multiplied with -1

So, -22 X (-1) = +22

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3 years ago
What is the equation of a line perpendicularto y=-2/5x-1 that passes through(2,-8)​
Andrews [41]
<h2>Answer: y =  ⁵/₂ x - 13   OR  y + 8 =  ⁵/₂ x - 5 </h2>

<h3>Step-by-step explanation:</h3>

<u>Find the slope of the perpendicular line</u>

When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are <em>negative-reciprocal</em>s of each other.

⇒  if the slope of this line = - ²/₅

      then the slope of the perpendicular line (m) = ⁵/₂

<u>Determine the equation</u>

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

                                ⇒  y - (-8) =  ⁵/₂ (x - 2)

                                   ∴  y + 8 = ⁵/₂ (x - 2)

We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

                  since   y + 8 =  ⁵/₂ (x - 2)

                                    y =  ⁵/₂ x - 13

7 0
3 years ago
Given m 1= 65, find the measure of each missing angle.Givd your reasoning
lorasvet [3.4K]

Answer:

Step-by-step explanation:

Given:

m∠1 = 65°

Since. ∠1 and ∠2 are the angles of linear pair,

m∠1 + m∠2 = 180°

65° + m∠2 = 180°

m∠2 = 115°

m∠1 = m∠3 [Vertical angles]

m∠3 = 115°

Since, ∠1 and ∠4 is the linear pair of angles,

m∠1 + m∠4 = 180°

65° + m∠4 = 180°

m∠4 = 180 - 65 = 115°

m∠4 + m∠5 = 180° [Consecutive interior angles between the parallel lines]

115° + m∠5 = 180°

m∠5 = 180° - 115° = 65°

m∠5 + m∠6 = 180° [Linear pair of angles]

65° + m∠6 = 180°

m∠6 = 115°

m∠5 = m∠7 [Vertical angles]

m∠5 = m∠7 = 65°

m∠6 = m∠8 [Vertical angles]

m∠6 = m∠8 = 115°

6 0
3 years ago
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