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3 years ago

For a pair of similar triangles, corresponding sides are always congruent. True or false?

2 answers:

6 0

That's false.
For similar triangles, corresponding angles are congruent.
Corresponding sides are in the same ratio but rarely congruent.
(They're congruent only if the ratio is ' 1 ', i.e. the triangles are congruent
as well as being similar.)

Mama L [17]3 years ago

4 0

Answer:

False

Step-by-step explanation:

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Find the set of values of k for which the equation 3x² - 12x + k >. 0 has no real roots.

anzhelika [568]

Answer:

k > 12

Step-by-step explanation:

If a quadratic equation has no real roots the values of b^2 - 4ac

( for the general form ax^2 + bx + c = 0) is negative,

So we have the inequality:

(-12)^2 - 4*3* k < 0

144 - 12k < 0

12k > 144

k > 12

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1 year ago

Find the volume of each figure. Simplify your answers.

Lerok [7]

Answer:

$98.28\:\mathrm{ft^3}$

Step-by-step explanation:

The volume of a rectangular prism is given by $V=l\cdot w\cdot h$ , where $l$ is the length of the prism, $w$ is the width of the prism, and $h$ is the height of the prism.

Substituting given values, we get:

$V=2.5\cdot 4.25\cdot 9.25=98.28125\approx \boxed{98.28\:\mathrm{ft^3}}$

Since "Simplify your answers" is very subjective, I've rounded to the nearest hundredth as that is reasonably universal, but you may need to adjust the rounding as desired.

6 0

3 years ago

For which distributions is the median the best measure of center?

Stolb23 [73]

Answer:

The answer would be 2nd top choice and 1st bottom choice

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

The perimeter of a triangle is 47 feet. One side of the triangle is one foot longer than the second side. The third side is four

Ugo [173]

Answer:

The lengths of all three sides (in feet) are = 15, 14, and 18 feet

Step-by-step explanation:

Perimeter of Triangle = 47ft

Let the one side be 'x'

Side 1 = x

One side of the triangle is one foot longer than the second side

Side 2 = x - 1

The third side is four feet longer than the second side

Side 3 = (x - 1) + 4

Perimeter = sum of all sides

47 = x + (x - 1) + (x - 1) + 4

47 = x + x - 1 + x - 1 + 4

47 = 3x + 2

47 - 2 = 3x

45 = 3x

x = 15

substitute for x in each of the sides

Side 1 = x => 15 feet

Side 2 = x - 1 => 15 - 1 = 14 feet

Side 3 = (x - 1) + 4 => 14 + 4 = 18 feet

6 0

3 years ago

Read 2 more answers

The reflection pool is 1 meter deep, 10 meters wide, and 20.5 meters long. What is the volume of the pool

gtnhenbr [62]

Volume = length x width x height
Volume = 1 x 10 x 20.5
Volume = 205 m^3

3 0

3 years ago