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3 years ago

1. Are the figures below balanced or unbalanced? HELP ME PLEASE!

Mathematics

2 answers:

Y_Kistochka [10]3 years ago

6 0

Answer: Un-balanced

Step-by-step explanation:

Nesterboy [21]3 years ago

4 0

Answer:

it's unbalanced it's unbalanced it's unbalanced

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NO LINKS!! Please help with questions 3 and 4

Taya2010 [7]

Answer:

$\textsf{3.} \quad (x,y) \rightarrow (x-5,y+2)$

$\textsf{4.} \quad (x,y) \rightarrow (x+3,y+1)$

Step-by-step explanation:

<h3><u>Question 3</u></h3>

Given vertices of ΔLMN:

L = (1, -1)
M = (4, 1)
N = (5, -1)

Given vertices of ΔL'M'N':

L' = (-4, 1)
M' = (-1, 3)
N' = (0, 1)

From inspection of the given diagram, we can see that the two triangles are congruent since their corresponding angles and corresponding side lengths are the same.

There is no apparent reflection or rotation, so the transformation of ΔLMN to ΔL'M'N' is by translation.

To find the mapping rule for the translation, choose one pair of corresponding vertices and determine the difference between the x and y values of the translated point and the original point:

$x_{M'}-x_M =-1-4=-5 \implies \textsf{5 units left}$

$y_{M'}-y_M =3-1=2 \implies \textsf{2 units up}$

Therefore, the mapping rule for the translation is:

$(x,y) \rightarrow (x-5,y+2)$

<h3><u>Question 4</u></h3>

Given vertices of ΔLMN:

L = (-6, -4)
M = (-5, -1)
N = (-2 -4)

Given vertices of ΔL'M'N':

L' = (-3, -3)
M' = (-2, 0)
N' = (1, -3)

From inspection of the given diagram, we can see that the two triangles are congruent since their corresponding angles and corresponding side lengths are the same.

There is no apparent reflection or rotation, so the transformation of ΔLMN to ΔL'M'N' is by translation.

To find the mapping rule for the translation, choose one pair of corresponding vertices and determine the difference between the x and y values of the translated point and the original point:

$x_{L'}-x_L =-3-(-6)=3 \implies \textsf{3 units right}$

$y_{L'}-y_L =-3-(-4)=1 \implies \textsf{1 units up}$

Therefore, the mapping rule for the translation is:

$(x,y) \rightarrow (x+3,y+1)$

8 0

1 year ago

Read 2 more answers

Built in 2011, the capital gate tower is 150 meters tall (measured vertically from the ground) and makes a 72 degree angle with

Softa [21]

Answer:

Step-by-step explanation:

You can create a right triangle out of this information and then use right triangle trig to solve.

We are given the height of the triangle as the height of the tower which is 150m.

We are given the angle of inclination as the degree the tower makes with the ground which is 72.

From the angle of 72 degrees, which is also known as the reference angle, we have the side across from it (the height) and we are looking for the side adjacent to it (how far from the base of the tower the keys will land). Side opposite the reference angle over side adjacent to the reference angle is the tangent ratio:

$tan(72)=\frac{150}{x}$ and, solving for x,