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pentagon [3]
2 years ago
12

Which dimensions cannot create a triangle? a three sides measuring 6 cm, 8 cm, and 10 cm b three angles measuring 40 degrees, 70

degrees, and 65 degrees c three angles measuring 10 degrees, 25 degrees, and 145 degrees d three sides measuring 9 m, 15 m, and 9 m
Mathematics
2 answers:
NISA [10]2 years ago
7 0

Answer:

A,C,D are triangles, B is not.

Step-by-step explanation:

Let 3 sides of a triangle be a,b,c.

A triangle have the sum of 3 angles = 180 degree

and

a-b<c<a+b (similar for a and b)

a.<u> </u><u>three sides measuring 6 cm, 8 cm, and 10 </u><u>cm</u><u> </u>

Satisfied the a-b<c<a+b property -> triangle

b. <u>three angles measuring 40 degrees, 70 degrees, and 65 </u><u>degrees</u>

<u> </u>Total of 3 angles = 40+70+65 = 175 > 180

-> not triangle

c. <u>three angles measuring 10 degrees, 25 degrees, and 145 degrees</u>

Total of 3 angles = 10+25+145 = 180

-> triangle

d. <u>three sides measuring 9 m, 15 m, and 9 m</u>

Satisfied the a-b<c<a+b property -> triangle

dlinn [17]2 years ago
3 0

Answer:

C

All triangle must equal 180, 40 + 70 + 65 = 175

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a_sh-v [17]

Answer:

i. When the temperature is above 616.712^{o}F, it changes to gas.

ii. When the temperature is below -33.052^{o}F, it changes to solid.

Step-by-step explanation:

Matter generally exists in either a solid, liquid or gaseous form. With each phase having a certain range of temperature.

Temperature scale of a given substance can be either in Celsius, Fahrenheit or Kelvin. And conversion from one scale to another can be achieved. Example, Celsius scale can be converted to Fahrenheit by:

F = \frac{9}{5} θ + 32

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Given that: melting point of the substance = -36.14^{o}C

⇒ F =  \frac{9}{5} x -36.14^{o} + 32

      = -33.052^{o}F

The boiling point = 324.84^{o}C

F =  \frac{9}{5} x  324.84^{o} + 32

  = 616.712^{o}F

The melting point of the substance is -33.052^{o}F, and boiling point is 616.712^{o}F.

Therefore, the range of temperatures for which the substance is not in a liquid state are:

i. When the temperature is above 616.712^{o}F, it changes to gas.

ii. When the temperature is below -33.052^{o}F, it changes to solid.

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