What is the premieter of this red polygon
What is the premieter of this red polygon - 1


Answer 1


  338 in

Step-by-step explanation:

If each of the measures shown is the measure from the vertex to the point of tangency, then that measure contributes twice to the perimeter (once for each leg from the vertex to a point of tangency).

  2(22 in + 27 in + 22 in + 98 in) = 2(169 in) = 338 in

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What is the value of the expression (0.5)4 ?


The value of the expression (0.5)^4 is 0.0625.

In this expression, (0.5) raised to the power of 4 means that you multiply 0.5 by itself four times.

So, it would be calculated as 0.5 x 0.5 x 0.5 x 0.5, which equals 0.0625.

When you raise a number less than 1 to a positive exponent, like in this case, the result is a smaller number because you are repeatedly dividing the original number by itself, which makes it smaller each time.

In this case, 0.5 is divided by itself four times, resulting in a much smaller value, 0.0625.

To explain further, exponentiation represents repeated multiplication. When you raise a number to an exponent, you are essentially multiplying that number by itself the specified number of times.

In this case, (0.5)^4 means multiplying 0.5 by itself four times, leading to the value 0.0625.

This concept is fundamental in mathematics and is used in various applications, including calculating compound interest, population growth, and many scientific calculations where values change over time or with repetition.

for such more questions on expression





Step-by-step explanation:

0.5 is the same thing as 1/2 and half of 4 is 2

What is a description of an undefined term?



In Geometry, we have several undefined terms: point, line and plane. From these three undefined terms, all other terms in Geometry can be defined. In Geometry, we define a point as a location and no size. ... And the third undefined term is the line.

Step-by-step explanation:

What is the result of adding these two equations?\begin{aligned} -5x-9y &= 3 \\\\ 5x-9y &= -2 \end{aligned}





Step-by-step explanation:

Did it on Khan Academy

-3x = 24
Solve for X


-3x = 24
/-3 on both sides
x = -8

A. 35/12
B. 12/37
C. 12/35
D. 35/37




Step-by-step explanation:


Tangent = Opposite / adjacent

tan (a) = 35 / 12


the answer is obviously going to be a

Suppose that the functions g and h are defined for all real numbers x as follows. gx = x − 3x
hx = 5x + 2
Write the expressions for (g - h)(x) and (g * h)(x) and evaluate (g + h)(−2).



Step-by-step explanation:

Given the functions g(x) = x − 3x  and h(x) = 5x + 2, we are to calculatae for the expression;

a) (g - h)(x)  an (g * h)(x)

(g - h)(x)  = g(x) - h(x)

(g - h)(x)  = x − 3x -(5x+2)

(g-h)(x) = x-3x-5x-2

(g-h)(x) =-7x-2

b)  (g * h)(x) =  g(x) * h(x)

 (g * h)(x)  = (x − 3x)(5x+2)

(g * h)(x) = 5x²+2x-15x²-6x

(g * h)(x) = 5x²-15x²+2x-6x

(g * h)(x) = -10x²-4x

c) To get (g + h)(−2), we need to first calculate (g + h)(x) as shown;

 (g + h)(x)  an (g * h)(x)

(g + h)(x)  = g(x) +h(x)

(g + h)(x)  = x − 3x + (5x+2)

(g+h)(x) = x-3x+5x+2

(g+h)(x) =3x+2

Substituting x = -2 into the resulting function;

(g+h)(-2) = 3(-2)+2

(g+h)(-2) = -6+2

(g+h)(-2) = -4