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4 years ago

Which transformation will be equivalent to rotating a figure 90° counterclockwise

Mathematics

1 answer:

stepladder [879]4 years ago

4 0

Answer:

Reflecting over the x-axis and then reflecting over the line y = x.

Step-by-step explanation:

A rotation 90° counterclockwise will map every point (x, y) to (-y, x).

Since the x- and y-coordinates are switched, this is not a reflection across the x-axis followed by a reflection across the y-axis.

Since the y-coordinate is negated and the x- and y-coordinates are switched, this is not a translation.

Reflecting across the x-axis will negate the y-coordinate, giving us (x, -y). Following this with a reflection across y=x will switch the coordinates giving us (-y, x). This is the correct transformation.

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Sunshine bank offers 6% simple interest on deposits. Tangerine bank offers 5% interest compound annually. State the difference i

Arada [10]

B) $35 Hope it helps :)

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4 years ago

Read 2 more answers

Write the ratio 42 inches to 9 feet as a fraction in simplest form. Explain why you get the same result whether you convert feet

V125BC [204]

Let's convert one of these numbers:
1 foot = 12 inches

9 feet were 9*12=108 inches

so the ratio would be 42: 108

or we can simplify it: divide by 2:
21:54

divide by 3:
7:18

A ratio always stays the same no matter the unit or currency, so it doesn't matter which unit we convert it to.

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3 years ago

Please help! For what value of x must ABCD be a parallelogram? x=?

Vlad1618 [11]

Answer:

$x=3$

Step-by-step explanation:

For a shape to be a parallelogram, the angles that are across from one another have to be equal.

We can now find x by making both equations equal to each other and solving.

$11x+1=13x-5$

Solve.

$11x+1=13x-5\\6=2x\\x=3$

4 0

3 years ago

Find the area of a rhombus if its diagonals are of lengths 12.8 cm and 8.4cm

Daniel [21]

Area =

$\frac{pq}{2}$

where p and q are it's diagonal

so according to the rule.

$\frac{12.8 \times 8.4}{2}$

$\frac{107.52}{2}$

$53.76 \\ \\$

is the answer.

hope understands 

4 0

1 year ago

In a survey of 400 seniors, x percent said that they plan on majoring in physics. One university has used this data to estimate

azamat

Answer:

2 percent

Step-by-step explanation:

We can use two separate fractions, one representing the amount of physics majors expected and the amount of seniors expected in physics majors by the university.

$\frac{400x}{66} = \frac{400}{3600}$

Now cross multiply.

$\frac{66*400}{400x * 3600}$

x will be removed.

$\frac{26400}{1320000}$

Simplifying this fraction will get you $\frac{1}{50}$ , which in percentage form, will be 2 percent.

8 0

2 years ago