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3 years ago

What coordinate for F would make triangle ABC and triangle DEF congruent?

Mathematics

2 answers:

luda_lava [24]3 years ago

4 0

Answer:

Step-by-step explanation:

The first choice is a coordinate that will make the new triangle congruent to the old one.

The transformation is a reflection acroos the line y = -x, in this context, the opposite coordinates to point C is (-2,-3).

Therefore, the right answer is the third choice.

zavuch27 [327]3 years ago

3 0

It’s (-2 , -2)
It has to be that answer

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If $10,000 is placed in an investment paying 4.8% yearly interest compounded annually, how long will it take for the account to

vaieri [72.5K]

Answer:

15 years.

Step-by-step explanation:

We have the equation:

20000 = 10000(1 + 0.048)^t where t is the number of years.

1.048 t = 20000/10000 = 2

Taking logs:

t ln 1.048 = ln 2

t = ln 2 / ln 1.048

t = 14.78

4 0

3 years ago

2. Graph each inequality on a number line:<br><br> 5x + 15 < 0

Georgia [21]

Answer:

x < -3

Step-by-step explanation:

1. To put this inequality on a number line, we first must solve it.

Step 1: Subtract 15 from both sides.

$5x + 15 - 15 < 0 - 15$

$5x < -15$

Step 2: Divide both sides by 5.

$\frac{5x}{5}$
$x < -3$

2. Now that we know x < -3, let's graph it!

Since it's less than, we make the number line point to the left, and we make the circle open.

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2 years ago

A spherical boulder is 18 ft in diameter and weighs almost 8 tons. Find the volume. Use 3.14 for piπ.

vampirchik [111]

Answer:

Volume, $V=3052.08\ ft^3$

Step-by-step explanation:

It is given that,

Diameter of spherical boulder is 18 ft

Weight of spherical boulder is 8 tons.

We need to find the volume of spherical boulder. The formula of the volume of sphere is given by :

$V=\dfrac{4}{3}\pi r^3$

r is radius of spherical boulder, r = 9 ft

Substituting all values in above formula :

$V=\dfrac{4}{3}\times 3.14\times (9)^3\\\\V=3052.08\ ft^3$

The volume of spherical boulder is $3052.08\ ft^3$ .

7 0

3 years ago

Maria's plant grew 3 1/4 inches every month for 2 1/2 months. How many inches did Maria's plant grow during that time?

Vadim26 [7]

Answer: 8.125 inches

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3 years ago

A pack of 8 batteries cost 4.99

Yuliya22 [10]

1.6 is the answer the nearest penny would be 2

Just divide 8 by 4.99

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2 years ago