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Luden [163]
2 years ago
13

 Can someone solve then explain the process of solving this?

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
7 0

Answer:

58°

Step-by-step explanation:

<h3>Angle sum property of triangle:</h3>

  The sum of all angles of a triangle is 180°.

 x + 69 + 55 + x + 78 = 180

  x + x + 69 + 55 + 78 = 180

Combine like terms,

                   2x + 202 = 180

Subtract 202 from both sides,

                              2x = 180 - 202

                              2x = -22

Divide both sides by 2,

                                 x = -22/2

                                 x = -11

∠A = x + 69

     = -11 + 69

 \sf \boxed{\angle A= 58^\circ}

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A glass bead has the shape of a rectangular prism with a smaller rectangular prism removed. What is the volume of the glass that
olganol [36]

The volume of the removed portion is 35 cm³.

Step-by-step explanation:

Given,

The length× width× height (L×B×H) of the outer part = 3 cm×3 cm×7 cm

The length× width× height (l×b×h) of the inner part = 2 cm×2 cm×7 cm

To find the volume of the removed portion.

Formula

The volume of the removed portion = volume of outer part - volume of inner part

Volume of rectangular prism = l×b×h

Now,

Volume of outer part = 3×3×7 cm³ = 63 cm³

Volume of inner part = 2×2×7 cm³ = 28 cm³

Hence,

The volume of the removed portion = 63-28 cm³ = 35 cm³

4 0
3 years ago
Read 2 more answers
Please help! Correct answer only!
Tcecarenko [31]

Answer:

<em>" Expected Payoff " ⇒ $ 1.56 ; Type in 1.56</em>

Step-by-step explanation:

Consider the steps below;

Tickets That Can Be Entered - 1 Ticket,\\Total Tickets Entered - 1000 Tickets,\\\\Proportion - 1 / 1000,\\Money One ( First Ticket ) = 820 Dollars,\\Money One ( Second Ticket ) = 740 Dollars,\\\\Proportionality ( First ) - 1 / 1000 = x / 820,\\Proportionality ( Second ) - 1 / 1000 = x / 740\\\\1 / 1000 = x / 820,\\1000 * x = 820,\\x = 820 / 1000,\\x = 0.82,\\\\1 / 1000 = x / 740,\\1000 * x = 740,\\x = 740 / 1000,\\x = 0.74\\\\Conclusion ; " Expected Payoff " = 0.82 + 0.74 = 1.56

<em>Solution; " Expected Payoff " ⇒ $ 1.56</em>

4 0
3 years ago
a rectangular block is such that the sides of its base are of the length x cm and 3x cm. The sum of all the lengths of all its e
Xelga [282]

Answer:

15x^2 - 12x^3

Step-by-step explanation:

A rectangular block has 3 parts that play into its volume.  length, width and height.  The question gives us length and width in the form of x and 3x, so height is what's missing.

It gives us a bit more information saying the sum of its edges is 20.  We also have to ask how many lengths, widths and heights are there.  That may be a bit hard to understand, but  is you are looking at a block I could ask how many edges are vertical, just going up and down.  These would be the heights.  There are 4 total, and this goes the same for length and width, so 4*length + 4*width and 4*height = 20.  

Taking that and plugging in x for length and 3x for width (or you could do it the other way around, it doesn't matter, you get:

4*x + 4*3x + 4*height = 20

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Question doesn't give a specific value for x at all so you should be done there.  Any number you plug in for x should get you the right answer

5 0
3 years ago
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defon
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