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3 years ago

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1 answer:

mr Goodwill [35]3 years ago

4 0

[ 1 ] Given
[ 2 ] Exterior Sides Opposite Rays
[ 3 ] Definition of Supplementary angles
[ 4 ] First substitution
[ 5 ] Subtraction Property of Equality
[ 6 ] Second Substitution
[ 7 ] If corrsp. equal, the lines ||

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Write an inequality that expresses the reason the lengths 5 feet, 10 feet, and 20 feet could not be used to make a triangle. Exp

Anit [1.1K]

The 2 smallest lengths in a triangle have to add up to be greater that the longest side of the triangle. In this case, the longest side is 20. The 2 smallest sides are 5 and 10. 5+10=15, but 15<20. This is why these 3 lengths can’t create a triangle.

6 0

3 years ago

Please help me please!

anyanavicka [17]

Answer:

D) cannot factor

Step-by-step explanation:

D) cannot factor

7 0

3 years ago

Read 2 more answers

Graph the following piecewise function.

atroni [7]

Answer:

The graph of this piece-wise function is attached below.

Step-by-step explanation:

Given the function

${\displaystyle f(x)={\begin{cases}x^{2} +2&{\text{if }}-5\leq x$

A piece-wise function is a function which has multiple pieces.
Each of the pieces have their own restrictions.

The domain of a function is the set of input, or x, values for which the function is defined.
The range is the set of all values taken by the function

As the piece

$f(x)=x^{2} +2$ has the domain [-5, 3) and graph of this piece is attached below.

and

$f(x)=x-4$ has the domain [3, 7) and graph of this piece is attached below.

So, the domain of the piece-wise function can be composed as [-5, 3) U [3, 7) and range has the interval $\:\left[-1,\:27\right]$ .

i.e.

Domain: [-5, 3) U [3, 7)

Range: $\:\left[-1,\:27\right]$

The graph of this piece-wise function is attached below.

<em>Keywords: piece-wise function, domain, range</em>

<em>Learn more about piece-wise function from brainly.com/question/12687437</em>

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3 0

4 years ago

For all values of x,

Nana76 [90]

Answer:

For f(x) = 2x + 3 and g(x) = -x 2 + 1, find the composite function defined by (f o g)(x)

(f o g)(x) = f(g(x))

= 2 (g(x)) + 3

= 2( -x 2 + 1 ) + 3

= - 2 x 2 + 5 Given f(2) = 3, g(3) = 2, f(3) = 4 and g(2) = 5, evaluate (f o g)(3)

Step-by-step explanation:

6 0

3 years ago

Felicia wants to build a kite with the shape shown. If AC is 60 cm, how many centimeters are in the length of BD?

Kay [80]

Answer:

Step-by-step explanation:

By applying tangent rule in the given right triangle AOB,

tan(30°) = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

$\frac{1}{\sqrt{3}}=\frac{BO}{OA}$

$OA=BO(\sqrt{3})$

By applying tangent rule in the given right triangle BOC,

tan(60°) = $\frac{OC}{BO}$

OC = BO(√3)

OA + OC = AC

$BO(\sqrt{3})+BO(\sqrt{3}) =60$

2√3(BO) = 60

BO = 10√3

OC = BO(√3)

OC = (10√3)(√3)

OC = 30

By applying tangent rule in right triangle DOC,

tan(60°) = $\frac{OD}{OC}$

OD = OC(√3)

OD = 30√3

Since, BD = BO + OD

BD = 10√3 + 30√3

BD = 40√3

≈ 69.3

6 0

3 years ago