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3 years ago

Which statement correctly describes the location of the incenter of a triangle?

Mathematics

1 answer:

NemiM [27]3 years ago

4 0

9514 1404 393

Answer:

B) The incenter is equidistant from all three sides of the triangle.

Step-by-step explanation:

The incenter is the center of the inscribed circle, which is tangent to all three sides. Hence, the distance from the incenter to each side is the radius of the circle. The incenter is equidistant from the sides of the triangle.

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How do I solve for x since the triangles are similar?

Llana [10]

A line that is parallel to a side and intersects the other two siddes divides the sides proportionally.

Set up the proportion
2/x+1 = x/x+6
Multiply means and extremes
2x+12= x^2+ x
Solve to get your answer.

3 0

3 years ago

Assume a bank loan requires an interest payment of $85 per year and a principal payment of $1,000 at the end of the loan's eight

Alex

Answer:

$919.98

Step-by-step explanation:

To solve using a financial calculator do

N=8

I/Y=10

PMT=85

FV=1000

CMPT PV get 919.98

To do by hand find the present value of the interst payments

85*(1-(1/1.1)^8)

which is 453.4687

Find the present value of the final ballon payment

1000*(1/1.1)^8

which is 466.507

take the sum

466.507+453.4678= 919.98

3 0

3 years ago

Find the zero of polynomial 7x+5

boyakko [2]

Answer:

$x=-5/7$

Step-by-step explanation:

we have

$f(x)=7x+5$ ----> The degree of this polynomial is 1 (linear equation)

Remember that

The zero of the polynomial is the value of x when the value of f(x) is zero

For f(x)=0

$0=7x+5$

solve for x

$x=-5/7$ ----> the zero of the polynomial or x-intercept

4 0

3 years ago

Write the inverse function for the function, ƒ(x) = 1/2x + 4. Then, find the value of ƒ -1(4). Type your answers in the box. ƒ -

katrin2010 [14]

As you know, to get the inverse of any expression, we start off by switching the variables about and then solving for "y",

$\bf \stackrel{f(x)}{y}=\cfrac{1}{2}x+4\qquad \qquad \stackrel{inverse}{\underline{x}=\cfrac{1}{2}\underline{y}+4}\implies x-4=\cfrac{1}{2}y
\\\\\\
2x-8=\stackrel{f^{-1}(x)}{y}
\\\\\\
f^{-1}(4)=2(4)-8\implies f^{-1}(4)=0$

4 0

3 years ago

Whats the perimiter of the following rectangle? The side says x - 2 and the bottom says 2x + 1

irakobra [83]

Answer:

6x-2

Step-by-step explanation:

The perimeter of a rectangle is found by

P = 2(l+w)

=2( x-2 + 2x+1)

Combine like terms

P = 2(3x-1)

Distribute

P = 6x-2

8 0

2 years ago