MATHEMATICS HIGH SCHOOL

Which series of transformations would result in a figure that is congruent to the triangle ABC? rotation of 180° clockwise about the origin and then dilation with a scale factor of -1, centered at the origin rotation of 180" clockwise about the origin and then dilation with a scale factor of 2, centered at the origin reflection across the line y = x and then dilation with a scale factor of -3, centered at the origin translation 3 units to right and then dilation with a scale factor of 3, centered at the origin​

Answers

Answer 1
Answer:

Answer:it is rotation of 180 clockwise about the origin and then dilation with a scale factor of -1 centered at the origin

Step-by-step explanation:
Answer 2
Answer:

Answer:

I think it’s C

Step-by-step explanation:

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What is the area of this figure?

Answers

Answer:

35 in^2

Step-by-step explanation:

15+20=35

Tom was using wire of the following thicknesses .33 mm, .275 mm, .25 mm, and .3 mm for some electrical work. Order the wire from thickest to thinnest

Answers

We write the fractions divided into tenths , hundredths and thousandths . Decimal fraction is greater the greater the number nearest decimal place .
0,33 mm = 0,3 + 0,3mm
0,265mm = 0,2mm + 0,06mm + 0,005mm
0,25 mm = 0,2mm + 0,05mm
0,3 mm = 0,3

The largest number will be the highest digit decimal fraction
We have two numbers with the same value on the decimal place
0,33mm ,0,3mm

0,33mm > 0,3mm
(0,3 + 0,03)mm   > 0,3mm

the first two numbers  : 0,33mm , 0,3mm

The other two numbers are number two on the tenth place . So we check , which has a larger number of hundreds 
0,275mm > 0,25
(0,2 + 0,075)mm > (0,2 + 0,05)mm
0,075mm > 0,05mm

Answer : 0,33mm, 0,3mm, 0,275mm, 0,25mm

For a client, a landscaper purchases 3 oak trees and 4 maple trees for $380. For his own home, the landscaper purchases 2 oak trees and 5 maple trees for $370. Which augmented matrix represents the situation?

Answers

You don't have any choices here, but it's easy to determine what your matrix would look like by first writing the equations.  Oak trees is x and maple trees is y.  The first of our equations then is 3x + 4y = 380 and the second is 2x + 5y = 370.  In matrix form, that would be \left[\begin{array}{ccc}3&4\n2&5\end{array}\right]= \left[\begin{array}{ccc}380\n370\n\end{array}\right]

The augmented matrix represents the situation that will be, \left[\begin{array}{ccc}3&4\n2&5\n\end{array}\right].

What is an augmented matrix?

The columns of two matrices are combined to create a new matrix known as an augmented matrix.

When using matrices to solve straightforward linear equations, the augmented matrix is a crucial tool. The number of variables in the linear equation is the same as the number of rows in the augmented matrix.

Let us consider x is the oak tree and y is the maple tree then;

⇒3 oak trees and 4 maple trees for $380;

⇒3x+4y = 370

⇒Purchases 2 oak trees and 5 maple trees for $370;

⇒2x+5y=370

The two equations are expressed in the matrixas;

\left[\begin{array}{ccc}3&4\n2&5\n\end{array}\right]

Hence, the augmented matrix represents the situation that will be, \left[\begin{array}{ccc}3&4\n2&5\n\end{array}\right].

To learn more about the augmented matrix refer;

brainly.com/question/16796667

#SPJ2

The price of an Item has risen to $108 today. Yesterday it was $80. Find the percentage increase.

Answers

Answer:

74%

Step-by-step explanation:

If parallelogram JKLM is rotated 270 clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the imagine parallelogram?

Answers

Answer:

Step-by-step explanation:

I think you missed attaching the photo of the parallelogram JKLM  and here it is in my answer

When rotating a point 270° clockwise or 90°clockwise around the origin, we apply the rule (x, y) → (-y, x).

Look at the photo, we can see the coordinate of the point

  • J (-6, 2)  
  • M = (-5, -1)

So apply the rule, after the rotation, the new co-ordinates will be:

  • J = (-2, -6)
  • M = (1, -5)

Answer: A j(-2, -6) and M(1,-5)

Step-by-step explanation:

This recipe makes 3 portions of potato soup. Richard follows the recipe but wants to make 9 portions.
Complete the amounts of each ingredient that he needs.

Recipe: Serves 3
20 ml oil
30 g onions
400 g potatoes
450 ml milk

Answers

Answer:

60 ml oil, 90 g onions, 1200 g potatoes, 1350 ml milk

Step-by-step explanation:

What you need to do here is multiply all of these ingredients by 3, because the recipe serves 3 and he needs to serve 9, and 9/3 = 3. Therefore, he would have to triple the recipe.
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