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STatiana [176]
3 years ago
14

What’s the circumference of this shape?xx

Mathematics
1 answer:
VikaD [51]3 years ago
7 0

The hypotenuse of the triangle would be the diameter of the semi circle.

Using the Pythagorean theorem you can find that.

8^2 + 6^2 = x^2

64 +36 = x^2

100 = x^2

x = √100

x = 10

The diameter is 10, now find the circumference.

Circumference = diameter x PI = 10 x 3.14 = 31.4

Since it is a semi circle, the circumference would be 1/2 of that.

31.4 / 2 = 15.7

The perimeter would be 8 + 6 + 15.7 = 29.7

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mylen [45]

Answer:

  ∠ADB = γ/2 +90°

Step-by-step explanation:

Here's one way to show the measure of ∠ADB.

  ∠ADB = 180° - (α + β) . . . . . sum of angles in ΔABD

  ∠ADB + (2α +β) + γ + (2β +α) = 360° . . . . . sum of angles in DXCY

Substituting for (α + β) in the second equation, we get ...

  ∠ADB + 3(180° - ∠ADB) + γ = 360°

  180° + γ = 2(∠ADB) . . . . . . add 2(∠ADB)-360°

  ∠ADB = γ/2 + 90° . . . . . . . divide by 2

_____

To find angles CXD and CYD, we observe that these are exterior angles to triangles AXB and AYB, respectively. As such, those angles are equal to the sum of the remote interior angles, taking into account that AY and BX are angle bisectors.

5 0
3 years ago
The lines shown below are parallel. If the green line has a slope of -17, what is the slope of the red line? ​
lesya [120]

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it would be 17

Step-by-step explanation:

6 0
3 years ago
What is the slope of the line that passes through the points (1, 7) and (10, 1)?
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What is the value of t in the equation t+12=30 ?
masha68 [24]
<span>Simplifying X + 12 = 30
 Reorder the terms: 12 + X = 30
 Solving 12 + X = 30
 Solving for variable 'X'.
 Move all terms containing X to the left, all other terms to the right.
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 Combine like terms: 12 + -12 = 0 0 + X = 30 + -12 X = 30 + -12
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Humberto evaluates the expression 4t² for t=3. what is the answer??
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