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4vir4ik [10]
2 years ago
7

Find the measure of the three missing angles in the parallelogram below.

Mathematics
2 answers:
Leya [2.2K]2 years ago
7 0

According to definition of parallelogram

  • Consecutive angles of a parallelogram have sum 180°
  • Opposite angles are equal
  • Opposite sides are equal

\\ \rm\hookrightarrow z=103

  • x+103=180
  • x=77°

And

  • y=x=77
elixir [45]2 years ago
4 0

Answer: x = 77 degrees, y = 77 degrees, z = 103 degrees

Step-by-step explanation:

Since y and 103 are essentially same side interior angles, they must add up to 180. Therefore, y = 180-103 = 77 degrees.

Opposite angles of a paralellogram are equal.

Therefore, x = y = 77 degrees and z = 103 degrees

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Two the smaller right angled triangles are similar. Therefore:
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3 years ago
Dilate a triangle with vertices (0,0), (0,2) and (2,0) using the scale factor k=3. What is the value of the ratio (new to origin
seropon [69]

Answer:

Part a) The ratio of the perimeters is 3

Part b) The ratio of the areas is 9

Step-by-step explanation:

Part A) What is the value of the ratio (new to original) of the perimeters?

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of the new triangle

y-----> the perimeter of the original triangle

z=\frac{x}{y}

we have

z=3

substitute

\frac{x}{y}=3

Part B) What is the value of the ratio (new to original) of the areas?

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> the area of the new triangle

y-----> the area of the original triangle

z^{2}=\frac{x}{y}

we have

z=3

substitute

\frac{x}{y}=3^{2}

\frac{x}{y}=9}

3 0
3 years ago
What is the value of the sum?
Drupady [299]

Answer:

-1/9

Step-by-step explanation:

-7/9 + 2/3 also equals to 2/3 - 7/9

Now make the denominator same

LCM of 3 and 9 = 9

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∴ 6/9 - 7/9 = -1/9

3 0
3 years ago
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RoseWind [281]

Answer:

I think its 40 I could be wrong

Step-by-step explanation:

I had subtract 80 and 40

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3 years ago
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