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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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Answer:

Step-by-step explanation:

yes

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HELP PLEASEEE...Naming Your Solution When you are asked to name your solution if you have one... that means. When you have ONE s
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Answer:

It means that you need to state whether there are any solutions and how many there are. For example if the equation ends up with an answer like 2=5 there is no solution because 2 does not equal 5. if the equation ends up with an answer of 0=0 there is infinitely many solutions because 0 does equal 0. if it comes out as x=9 there is one solution because x only has one answer to (keep in mind these are just examples)

Step-by-step explanation:

The order pair would be where the two lines intersect perpendicularly with each other forming a 90° angle

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3 years ago
A circle above has a radius of 6 cm. What is the area of the circle?<br><br> Use = 3.14.
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113.04

Step-by-step explanation:

formula for area is

pi times radius times radius

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Please help me with this math
lawyer [7]

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Step-by-step explanation:

2(3p+4)

Let p=2

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Unit 8: Right Triangles &amp; Trigonometry<br> Homework 2: Special Right Triangles
Kamila [148]

Answer:

17. z=39/sin45=78/\sqrt{2}

    y=39/tan60=39/\sqrt{3}

    x=y/sin60=78/\sqrt{3}

19. x=6\sqrt{3}/tan60=6

    y=2x=12

    z=\sqrt{2}y=12\sqrt{2}

Step-by-step explanation:

17.

because:sin45=39/z    

so:     z=39/sin45=78/\sqrt{2}

then: tan60=39/y

so:    y=39/tan60=39/\sqrt{3}

last:  sin60=y/x

so:    x=y/sin60=78/\sqrt{3}

19.

because: tan60=6\sqrt{3}/x

so:            x=6\sqrt{3}/tan60=6

then:        sin30=x/y

so:            y=x*sin30=2x=12

last:          sin45=y/z

so:            z=sin45*y=\sqrt{2}y=12\sqrt{2}

   

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