All categories

3 years ago

Figure ABCDE is the result of a 180 °rotation of figure LMNOP about the point.

Mathematics

1 answer:

Blababa [14]3 years ago

5 0

Angle O in the pre-image corresponds to angle D in the image.

Step-by-step explanation:

Step 1; Shape LMNOP is rotated through 180° about point F to create the shape ABCDE. The highest point on LMNOP will be the lowest point on ABCDE and the lowest point on LMNOP will be the highest point on ABCDE. The highest point and the lowest point on LMNOP are P and N respectively. The highest and the lowest point on ABCDE are C and E. So Angle P equals angle E and angle N equals angle C.

Step 2; We measure the sides and assign the corresponding values from the first shape to the second shape.

Angle E = Angle P,

Angle D = Angle O,

Angle C = Angle N,

Angle B = Angle M,

Angle A = Angle L.

So angle D in the shape ABCDE corresponds to angle O in the shape LMNOP.

You might be interested in

#1-11 20 points!!!!!

lesya [120]

Answer:

Step-by-step explanation:

1. 30

2. 23

3. 8

4.52

5.144

6.40

7. 210

8. 144

9. 135

10. 105

11. 2(207)

6 0

3 years ago

Callie has a new kitten. They can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18

gavmur [86]

Answer:

The weight of cat is 14 pounds and the weight of kitten is 4 pounds.

Step-by-step explanation:

Given:

Callie has a new kitten. It can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18 pounds.

Now, to find the weight of each animal:

Let the cat's weight be $x.$

And the kitten weight = $\frac{x}{2} -3$

Total weight of cat and kitten = 18 pounds.

Now, to set an equation to get the weight of each animal:

$(x)+(\frac{x}{2}-3)=18$

$x+\frac{x}{2} -3=18$

$\frac{2x+x-6}{2} =18$

$\frac{3x-6}{2} =18$

Multiplying both sides by 2 we get:

$3x-6=36$

Adding both sides by 6 we get:

$3x=42$

Dividing both sides by 3 we get:

$x=14\ pounds.$

The weight of cat = 14 pounds.

Substituting the value of $x$ to get the kitten's weight:

$\frac{x}{2} -3\\\\=\frac{14}{2}-3\\\\=7-3\\\\=4.$

The kitten's weight = 4 pounds.

Therefore, the weight of cat is 14 pounds and the weight of kitten is 4 pounds.

7 0

2 years ago

1)The original price of concert is $100. They are on sale for 21% off. How much will the tickets cost after the discount? 2)Ms.B

mel-nik [20]

1. 79% Take 100 x 21%=21, then subtract 21 from 100 = 79
2. $138 Take 1200 x 11.5%= $138

3 0

2 years ago

Please need help thank you

telo118 [61]

Answer:

2, 3/4 and 1

Step-by-step explanation:

8 0

2 years ago

What is the hyperbola 25x^2-100y-9y^2-90x-350=0 in standard form?

sergij07 [2.7K]

WE need to complete the square on the x and y terms:-

25x^2 - 100x - 9y^2 - 90y = 350
25(x^2 - 4x + ) - 9(y^2 + 10x ) = 350 + 25( ) - 9( )
25(x^2 - 4x + 4 ) - 9(y^2 + 10x + 25) = 350 + 25(4) - 9(25)
25(x - 2)^2 - 9(y + 5)^2 =

25(x - 2)^2 - 9(y + 5)^2 = 225
---------------- --------------    --------
225 225 225

( x - 2)^2    (y + 5)^2
------------- - -------------- = 1 Answer
9 25

4 0

3 years ago