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3 years ago

Which of the following transformations will never produce a congruent figure?

Mathematics

1 answer:

TEA [102]3 years ago

4 0

B) Dilation

Because dilation makes it bigger or smaller, making it not congruent.<span />

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Find the ages of the people and tree

Harlamova29_29 [7]

Answer:

1. Callum = 2; Eilidh = 17; Caitlin's =22.

2. Ewan = 44; tree = 308.

Explanation:

Q1. Callum, Eilidh, and Caitlin

Let x = Callum's age

y = Eilidh's age

z = Caitlin's age

We have three conditions.

(1) x = y - 5

(2) z = y + 15

(3) x + y + z = 31

Step 1. Eliminate one of the variables in two of the equations

Subtract (1) from (2): z - x = 20

Rearrange: (4) -x + z = 20

Solve (2) for y: (5) y = z - 15

Substitute into (3): x + z - 15 + z = 31

(6) x + 2z = 46

Step 2. Set up two new equations in two variables

(5) -x + z = 20

(6) x + 2z = 46

Add (5) and (6): 3z = 66

Divide each side by 2: z = 22

Step 3. Substitute z into (5)

-x + 22 = 20

x = 2

Step 4. Substitute x into (1)

2 = y - 5

Add 5 to each side y = 7

Callum's age is 2; Eilidh's age is 7; Caitlin's age is 22.

Q2. Ewan and the tree

Let x = Ewan's age

y = tree's age

We have two conditions.

(1) y = 7x

(2) x + y = 352

Rearrange (1) (3) -7x + y = 0

(2) x + y = 352

Subtract (3) from (2) 8x = 352

Divide each side by 8 x = 44

Substitute y into (1) y = 7 × 44

y = 308

Ewan's age is 44; the tree's age is 308.

5 0

3 years ago

Need help asap !! i’ll mark brainly .

kirill [66]

Answer:

The last answer choice

Step-by-step explanation:

$2\dfrac{3}{5}$

$2+\dfrac{17}{15}$

$3\dfrac{2}{15}$

$b>3\dfrac{2}{15}$

The last answer choice is correct. Hope this helps!

7 0

3 years ago

Read 2 more answers

Alisha has a $15,000 car loan with a 6 percent interest rate that is compounded annually. How much will she have paid at the end

jolli1 [7]

It is $15,900.50 because it says 15,000 car loan with a 6 percent rate.

3 0

3 years ago

Read 2 more answers

Select the correct answer from each drop-down menu.

irakobra [83]

Answer:

The length of side AC is 5 units.

The areas of triangle ABC is 10 square units.

Step-by-step explanation:

From point A (1,3) to point C (1,-2) is 5 units

To check this:

3 - (-2) = 3 + 2 =5

We're subtracting since the point went down (from positive 3 to negative 2)

Now for the area:

Area formula for a triangle: $\frac{1}{2}$ bh = $\frac{1}{2}$ ⋅b⋅h

We already found the height (length) : 5

The base is from point C (1,-2) to point B (5,-2), which is 4 units

To check this:

5 - 1 = 4

Now that we have found the base and height, Let's solve:

$\frac{1}{2}$ ⋅4⋅5 = $\frac{1}{2}$ ⋅20 = 10

Our area is 10 square units.

Hope that helps :)

6 0

2 years ago

A square notepad has sides that are 10 centimeters long. What is the notepad's area?

blsea [12.9K]

Answer:

100cm²

Step-by-step explanation:

The notepad is square.

The area of a square = length X width.

All the sides of a square are the same length.

Therefore, the area of the notepad = 10 X 10 which equals 100.

Don't forget the units!

The units for area is cm².

The units for volume is cm³.

This is area so your answer is 100cm².

Hope this helped, have a nice day!

8 0

1 year ago