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Arturiano [62]
3 years ago
10

Triangle RST has vertices R(2, 0), S(4, 0), and T(1, –3). The image of triangle RST after a rotation has vertices

Mathematics
2 answers:
velikii [3]3 years ago
6 0
<span>C) Ro 270 degree (anticlockwise)

============================


</span>
Aleks04 [339]3 years ago
6 0
<h2>Answer:</h2>

The rule which describes the transformation is:

                           C)  R 0,270 degree

<h2>Step-by-step explanation:</h2>

We know that if the original figure is rotated 270 degrees about the origin then it leads to the transformation in which each of the vertices of the figure are transformed and are  given by the rule:

             (x,y) → (y,-x)

Here we have the vertices of the Triangle RST as:

          R(2, 0), S(4, 0), and T(1, –3).

Now, when this triangle is rotated 270 degrees about the origin then the resulting image has vertices as follows:

R(2,0) → R'(0,-2)

S(4,0) → S'(0,-4)

T(1,-3) → T(-3,-1)

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Ted and Robin each gave a basket of green apples to their friend Lily. Ted’s basket contains 5 apples, each weighing ounces. Rob
Blababa [14]

<u>Question</u>:

Ted and Robin each gave a basket of green apples to their friend Lily. Ted’s basket contains 5 apples, each weighing 7 1/4 ounces. Robin’s basket contains 6 apples, each weighing 6 1/2 ounces. Whose basket is heavier and by how much?

<u>Answer</u>:

Robin’s basket is heavier than Ted’s basket  by  2.75 ounces

<u>Step-by-step explanation:</u>

<u>Given</u>:

Ted’s basket contains  = 5 apples

Weight of each apple in Ted’s basket = 7 1/4 ounces

Robin’s basket contains  = 6 apples

Weight of each apple in Robin’s basket =  6 1/2 ounces

<u>To Find:</u>

Whose basket is heavier and by how much?

<u>Solution:</u>

<u>Step 1: Finding the weight of Ted’s basket </u>

Weight of Ted’s basket  = Number of apple in the basket X  Weight of each apple

Weight of Ted’s basket  = 5 \times 7\frac{1}{4}

Weight of Ted’s basket  = 5 \times \frac{29}{4}

Weight of Ted’s basket  = \frac{145}{4}

Weight of Ted’s basket  =  36.25 --------------------------------(1)

<u>Step 2: Finding the weight of Robin’s basket </u>

Weight of Robin’s basket  = Number of apple in the basket X  Weight of each apple

Weight of Robin’s basket  = 6 \times 6\frac{1}{2}

Weight of Robin’s basket  = 6 \times \frac{13}{2}

Weight of Robin’s basket  = \frac{78}{2}

Weight of Robin’s basket  = 39 ounces--------------------------(2)

<u>Comparing equation (1) and (2)</u>

39 - 36.25 = 2.75 ounces

Weight of Robin’s basket  >  Weight of Ted’s basket

5 0
3 years ago
Pls help someone pls
Ber [7]

Answer:

Step-by-step explanation:

Find the are by multiplying all of the sides    together, and you wil  get your answer.  

5 0
2 years ago
The equation of a line is x + 5y = 12.
Svet_ta [14]

Answer: C: 12/5

Step-by-step explanation:

y intercept is where x is 0, so set x equal to 0

0+5y=12

y=12/5

4 0
3 years ago
An angle bisector of a triangle divides the opposite side of the triangle into segments 5 cm and 3 cm long. A second side of the
attashe74 [19]
There is a little-known theorem to solve this problem.

The theorem says that
In a triangle, the angle bisector cuts the opposite side into two segments in the ratio of the respective sides lengths.

See the attached triangles for cases 1 and 2.  Let x be the length of the third side.

Case 1:
Segment 5cm is adjacent to the 7.6cm side, then
x/7.6=3/5  => x=7.6*3/5=4.56 cm

Case 2:
Segment 3cm is adjacent to the 7.6 cm side, then
x/7.6=5/3 => x=7.6*5/3=12.67 cm

The theorem can be proved by considering the sine rule on the adjacent triangles ADC and BDC with the common side CD and equal angles ACD and DCB.

6 0
3 years ago
Can someone help me with this problem
Maksim231197 [3]
The area of a triangle is .5*b*h = .5x^2

.5x^2 = 27 so 

x^2 = 54

x = sqrt(54) = 7.3
5 0
3 years ago
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