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blondinia [14]
3 years ago
12

Match the given conditions to the number of triangles that can be constructed from them. The measures of two angles are 30 degre

es and 60 degrees and the length of the included side is 12 inches
Mathematics
1 answer:
Maurinko [17]3 years ago
4 0

Answer:

One triangle

Step-by-step explanation:

The angles being fixed at 30° and 60° cause the legs to be fixed.

For the 30° angle, one side is the given side of 12, the other side is at a fixed position.

The same goes for the 60° angle.  

So both missing legs of the triangle are at fixed angles.  The missing angle is 90° (if one is 30° and the other is 60°, then the last angle must add up to 180°, so it is 90°)

Since the last angle is also fixed, it means that there is only one way for the legs to intersect to cause a 90° angle, so there is only one triangle that can be formed

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Digiron [165]

Answer:

They are.

Step-by-step explanation: The postulate is that all the adjacent angles and side lengths are equal between the triangle pairs. Congruency is if all side lengths and angles measure the same amount. In this case, the lines signify that they do.

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Answer:

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Step-by-step explanation:

\frac{1}{3x}  -  \frac{1}{2}  = 18 \frac{1}{2}  \\  \\  \frac{1}{3x}  -  \frac{1}{2}  =  \frac{37}{2}   \\  \\  \frac{1}{3x}  =  \frac{37}{2}  -  \frac{1}{2}  \\  \\  \frac{1}{3x}  =  \frac{37 - 1}{2}  \\  \\  \frac{1}{3x}  =  \frac{36}{2}  \\  \\  \frac{1}{3x}  = 18 \\  \\ 1 = 54x

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2 years ago
Which of the following fractions will convert to terminating decimals?
valina [46]

Answer:

B and D

Step-by-step explanation:

A terminating decimal differs from a repeating decimal in that ; terminating decimals have a finite number of numbers after a decimal point whereby repeating decimals Don not have a fine number of numbers after the decimal point.

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A. 2/7 = 0.2857...

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6 0
2 years ago
Number 13 please. I know the answer is 20 I just don’t know how to get there
Rudiy27

4/20 is 0.20, which is equivalent to 20%.


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4 0
3 years ago
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