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3 years ago

The pre-image and image of what transformation are not congruent?

Mathematics

1 answer:

ad-work [718]3 years ago

6 0

Answer:

Option A

Step-by-step explanation:

Options B, C, and D are examples of ridged transformations. Ridged transformations are transformations that keep the pre-image and image congruent.

A dilation would change the actual size of the pre-image to make the image, so they would be not congruent in a dilation.

Hope this helps.

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The area of the base of a portable speaker, shaped like a hexagonal prism, is 36 square inches. The height of the speaker is 8 i

juin [17]

Answer:

92 dB

Step-by-step explanation:

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3 years ago

Read 2 more answers

8x -6=18 what does x equal

professor190 [17]

Answer:

x = 3

Step-by-step explanation:

8x -6 = 18

Add 6 to both sides.

8x = 24

Divide both sides by 8 to isolate x.

x = 3

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2 years ago

the inequality |t-57|<7 describes the range of monthly average temperature, T, in Degrees Fahrenheit, for san Francisco, Cali

Y_Kistochka [10]

Solution is: $50\leq T\leq 64$ and it means, the minimum temperature is 50° Fahrenheit and the maximum temperature is 64° Fahrenheit.

Explanation

Given inequality is: $|T-57|\leq 7$

As this is absolute inequality, so we will get two different inequalities-- one for positive and another for negative. So.....

$T-57\leq 7\\ \\ T\leq 7+57\\ \\ T\leq 64$

and

$-(T-57)\leq 7\\ \\ -T+57\leq 7\\ \\ -T\leq 7-57\\ \\ -T\leq -50\\ \\ T\geq 50$

So, the final combined solution will be: $50\leq T\leq 64$

It means that the minimum temperature for San Francisco, California is 50° Fahrenheit and the maximum temperature is 64° Fahrenheit.

7 0

3 years ago

Two right triangles are shown. First, find the missing leg of the triangle on the right. Then you have two lengths to use to fin

jasenka [17]

Answer:

x = 30m

Step-by-step explanation:

GIVEN :-

There are 2 right-angled triangles.

In the triangle on the right side ,

Hypotenuse = 26m
Base = 10m

In the triangle on the left side ,

Base = 18m

TO FIND :-

Length of the common perpendicular to both triangles.
Length of the hypotenuse of the triangle on the left side.

FACTS TO KNOW BEFORE SOLVING :-

$Hypotenuse = \sqrt{Base^2 + Perpendicular^2}$ .
$Perpendicular = \sqrt{Hypotenuse^2 - Base^2}$

SOLUTION :-

In the triangle on the right side ,

$Perpendicular = \sqrt{26^2 - 10^2} = \sqrt{676 - 100} = \sqrt{576} = 24m$

⇒ Perpendicular of the triangle on right side = Perpendicular of the triangle on left side.

In the triangle on the left side ,

$Hypotenuse = \sqrt{24^2 + 18^2} = \sqrt{576 + 324} = \sqrt{900} = 30m$

∴ x = 30m

3 0

3 years ago

Nadia is a stockbroker. She earns 4% commission when she sells stocks. Last week, she earned $288 in commission.

Tresset [83]

Answer:

a)The total amount of her weekly stock sales = $7,200

b) The total amount of her yearly stock sales = $350,000

Step-by-step explanation:

(a) Let us assume that the total a mount of her sales in a week = $m

Commission earned in a week = $288

Now, 4 % of her total sales = $288

or, 4% of ($m) = $288

⇒ $\frac{4}{100} \times m = 288$

or, $m = \frac{288 \times 100}{4} = 7,200$

⇒ m = $7,200

Hence, the total amount of her weekly stock sales = $7,200

b) Let us assume that the total amount of her sales in a year = $k

The total amount of commission earned = $14,000

Now, 4 % of her total sales = $14,000

or, 4% of ($k) = $14,000

⇒ $\frac{4}{100} \times k = 14,000$

or, $k = \frac{14,000 \times 100}{4} = 350,000$

⇒ k = $350,000

Hence, the total amount of her yearly stock sales = $350,000

8 0

3 years ago