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3 years ago

15

one sixth of the party guests were Wildcats fan the rest were knight fan. what fraction were knight fans?

2 answers:

xxMikexx [17]3 years ago

4 0

Answer:

5/6

Step-by-step explanation:

Subtract one sixth from 1 whole to get 5/6

MakcuM [25]3 years ago

3 0

Answer:

5/6 were knight fans.

Step-by-step explanation:

The problem explained that 1/6 of the party guests were Wildcats fans this means that 6 is the whole. if one sixth is if you are to subtract the numerators given. we know the whole is 6 and 1/6 of the party guests were Wildcats fans so if you were to subtract 6/6 by 1/6 your answer would be 5 out of 6 Knight fans.

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Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

The product of slopes of two perpendicular lines is -1.

Slope of GR is

$\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}$

Slope of RT is

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Product of slopes of GR and RT is

$\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1$

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

$(x,y)\rightarrow(x-1,y-2)$

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$(2,6)\rightarrow(2-1,6-2)$

$(2,6)\rightarrow(1,4)$

Slope of RT' is

$\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}$

Product of slopes of GR and RT' is

$\frac{-4}{3}\times \frac{3}{4}=-1$

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

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