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3 years ago

For which pair of triangles would you use SSS to prove the congruence of the 2 triangles?

Mathematics

2 answers:

Nadusha1986 [10]3 years ago

7 0

D) because it's the only one that contains given equal sides in both triangles

Juliette [100K]3 years ago

5 0

In last one, all three sides of one triangle are congruent with all three sides of another triangle.

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Which could be the first step in simplifying this expression? Check all that apply. (x cubed x Superscript negative 6 Baseline)

PtichkaEL [24]

Answer:

$(x^{-3} )^{2}$

$x^6 x^{-12}$

Step-by-step explanation:

$(x^{3} x^{-6} )^{2}$ is the expression given to be solved.

First of all let us have a look at 3 formulas:

$1.\ p^a \times p^b = p^{(a+b)}\\2.\ (p^a \times q^b)^c = (p^{a})^c \times (q^{b})^c\\3.\ (p^a)^b = p^{a\times b}$

Both the formula can be applied to the expression( $(x^{3} x^{-6} )^{2}$ ) during the first step while solving it.

Applying formula (1):

$(x^{3} x^{-6} )^{2}$

Comparing the terms of $(x^{3} x^{-6} )$ with $p^a \times p^b$

$p=x, a =3, b=-6$

$\Rightarrow x^{3+(-6)}\\\Rightarrow x^{3-6}\\\Rightarrow x^{-3}$

So, $(x^{3} x^{-6} )^{2}$ is reduced to $(x^{-3} )^{2}$

Applying formula (2):

Comparing the terms of $(x^{3} x^{-6} )^{2}$ with $(p^a \times q^b)^c$

$p=q=x, a =3, b=-6, c=2$

$\Rightarrow (x^{3})^2\times (x^{-6})^2\\\text{Applying Formula (3)}\\x^6 x^{-12}$

So, $(x^{3} x^{-6} )^{2}$ is reduced to $x^6 x^{-12}$ .

So, the answers can be:

$(x^{-3} )^{2}$

$x^6 x^{-12}$

8 0

3 years ago

Solve for b, i already solved for A will give brainliest

larisa86 [58]

Answer:

b=23 degrees

Step-by-step explanation:

a was 66 degrees so b=23 degrees 180-90-66=23

6 0

3 years ago

Solve the equation: sin(2x)= sin x

Anna [14]

Answer:

Below

Step-by-step explanation:

sin(2x) = 2 ×cos(x)× sin(x)

● sin(x) = 2 × cos(x) × sin(x)

● 2 × cos(x) = 1

● cos (x) = 1/2

So we can deduce that:

● x = Pi/3 + 2*k*Pi

● or x = -Pi/3 + 2*k*Pi

K is an integer

3 0

3 years ago

Identify the description that is described in numbers.

vladimir2022 [97]

Age of a dog (age is a number)

8 0

3 years ago

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I NEED HELP PLEASE, THANKS :)

mrs_skeptik [129]

Answer:

3rd option: f(x)⇒ +∞ as x⇒-∞ and f(x)⇒ -∞ as x⇒ +∞

Step-by-step explanation:

This is a negative cubic graph, therefore:

Looking at the graph, as x goes towards negative infinity, the y values go toward positive infinity.

On the other hand, as x goes towards positive infinity, the y values go towards negative infinity.

8 0

3 years ago

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