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shtirl [24]
2 years ago
12

Nick is studying the triangle sum theorem in his geometry class. The triangle sum theorem states that the sum the measures of th

e angles of the triangle is 180°. Nick concludes that all three angles in an equiangular triangle must be 60°. What kind of reasoning is Nick using to form his conjecture?
A.) Deductive Reasoning
B.) Inductive Reasoning
Mathematics
2 answers:
mojhsa [17]2 years ago
7 0
A.) deductive reasoning.
galben [10]2 years ago
6 0

Answer:

deductive reasoning

Step-by-step explanation:

Nick is reasoning from one or more statements to reach a logical conclusion.

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10 points! Please help if able!
TEA [102]

The 30/60/90 right triangle is the biggest cliche in trig.  We recall the sides come in ratio 1:\sqrt{3}:2

1:\sqrt{3}:2 = x:y:4\sqrt{2}

First x:

\dfrac x 1 = \dfrac{4 \sqrt{2}}{2}

x = 2 \sqrt 2

Next y:

\dfrac{y}{\sqrt{3}} =\dfrac{x}{1}

y= 2 \sqrt{2} \sqrt{3} = 2 \sqrt{6}

Choice C


3 0
3 years ago
Find the volume of the cylinder. Round your answer to the nearest tenth.
Juliette [100K]

Answer:

4948

Step-by-step explanation:

volme of a cylinder= πr^{2}×h

4 0
3 years ago
Read 2 more answers
30 POINTS!!!! I NEED AN ANSWER!!PLEASE HELP!
Harman [31]

Answer:

Its the last one: a translation 2 units right and 4 units down.

Step-by-step explanation:

To get from point E (1,3) to E' (3-1) you add 2 units to the x coordinate since the x-axis goes from left to right  and moving to the right means its positive and then you subtract 4 from the y coordinate since the y axis is going up and down and when you move -4 points you move down 4 points. You do this to every other point get the new figure.

8 0
3 years ago
X+2 = 7/8 mulltiplied by -15x
Marysya12 [62]

Answer:

x=16/113

Step-by-step explanation:

look at them in order

3 0
3 years ago
If the sum of four consecutive numbers is 854, what is the third one?
lukranit [14]

Answer:

214

Step-by-step explanation:

The set up would be x + (x + 1) + (x + 2) + (x + 3) = 854, naturally as the numbers are consecutive. Solving for x:

x + (x + 1) + (x + 2) + (x + 3) = 854,

x + x + 1 + x + 2 + x + 3 = 854,

4x + 1 + 2 + 3 = 854,

4x + 6 = 854,

4x = 854 - 6 = 848,

x = 848/4 = 212

The third number then should be 212 + 2 = 214

7 0
3 years ago
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