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3 years ago

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Mathematics

1 answer:

Klio2033 [76]3 years ago

6 0

Answer:

x= 45

Step-by-step explanation:

angle EOB = 90 degrees so angle EOA must also be 90 degrees. Divide 90 by 2 = 45. You can figure out the rest from now on.

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which of the three sets could not be the lengths of the sides of a triangle {6,10,12} {5,7,10} {4,4,9} {2,3,3}

Phoenix [80]

So for this, we will be applying the Triangle Inequality Theorem, which states that the sum of 2 sides must be greater than the third side for it to be a triangle. If any inequality turns out to be false, then the set cannot be a triangle.

$A+B>C\\A+C>B\\B+C>A$

<h2>First Option: {6, 10, 12}</h2>

Let A = 6, B = 10, and C = 12:

$6+10>12\\16>12\ \textsf{true}\\\\6+12>10\\18>10\ \textsf{true}\\\\12+10>6\\22>6\ \textsf{true}$

<h2>Second Option: {5, 7, 10}</h2>

Let A = 5, B = 7, and C = 10

$5+7>10\\12>10\ \textsf{true}\\\\5+10>7\\15>7\ \textsf{true}\\\\10+7>5\\17>5\ \textsf{true}$

<h2>Third Option: {4, 4, 9}</h2>

Let A = 4, B = 4, and C = 9

$4+4>9\\8>9\ \textsf{false}\\\\4+9>4\\13>4\ \textsf{true}\\\\4+9>4\\13>4\ \textsf{true}$

<h2>Fourth Option: {2, 3, 3}</h2>

Let A = 2, B = 3, and C = 3

$2+3>3\\5>3\ \textsf{true}\\\\2+3>3\\5>3\ \textsf{true}\\\\3+3>2\\6>2\ \textsf{true}$

<h2>Conclusion:</h2>

Since the third option had an inequality that was false, <u>the third option cannot be a triangle.</u>

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2 years ago

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Which of these do you prove with a geometric proof? Select one of the options below as your answer:. . A.. experiments. B.. opin

kozerog [31]

(D)We can prove THEOREMS with geometric rules........

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2 years ago

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Hello!

Tcecarenko [31]

This is simple algebra :)

First, we can write the question as an algebraic equation.

Given that Doug spent 40 more hours than Laura, we can represent Laura as (x) and Doug as (x+40).

"Doug and Laura spent a combined 250 hours." So we can write this as

(x) + (x+40) = 250

Now simplify:

2x + 40 = 250

Solve x by subtracting 40 from both sides of the equation:

2x = 210

Therefore:

x = 210/2

= 105

So Laura (x) spent 105 hours!

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2 years ago

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If 5/2 kg of carrots cost $3,how much will 3/2 kg cost?

VashaNatasha [74]

Answer:

first you find out how much will 1/2 kg of carrot cost, that way you can multiply it by 3 to get what 3/2 cost.

So, 3÷ 5 = 0.6 per 1/2 kg. Then 0.6 × 3 = 1.8 dollars for 3/2 kg

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3 years ago

Simplify 3 times x² times y times 4z times x times 2y times z

Ludmilka [50]

Answer:

3(x^2 x Y)(4z x X)(2y x Z)

Step-by-step explanation:

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