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3 years ago

Which theorem or postulate proves the two triangles are similar

Mathematics

2 answers:

Tasya [4]3 years ago

8 0

SSS - Theorem

All the sides to you in the problem are given to you and no angles.
The sides also proportioned out to each other by 1/2.
In other words, the triangle on the right is 1/2 smaller than the one on the left

Alina [70]3 years ago

5 0

Because all 3 sides are given for both triangles you can use the SSS theorem

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A game has a circular playing area in which you must hit a ball into a circular hole. The area of the playing area is 16ft2. The

Bad White [126]

Answer:

$4.9\%$

Step-by-step explanation:

we know that

To find out the probability of hitting a ball into the circular hole, divide the area of the hole by the area of the playing area

Let

x ----> the area of the hole

y ----> the area of the playing game

$P=\frac{x}{y}$

we have

$y=16\ ft^2$

Find the area of the hole

The area of the circle (hole) is equal to

$A=\pi r^{2}$

we have

$r=1/2=0.5\ ft$ ----> the radius is half the diameter

assume

$\pi =3.14$

substitute

$A=(3.14)(0.5)^{2}$

$A=0.785\ ft^2$

Find the probability

$P=\frac{x}{y}$

we have

$x=0.785\ ft^2$

$y=16\ ft^2$

substitute

$P=\frac{0.785}{16}$

$P=0.0491$

Convert to percentage

$0.0491*100=4.91\%$

Round to the nearest tenth

$4.9\%$

5 0

3 years ago

What is the inverse of the function f(x) = x – 12?

maxonik [38]

Answer:

f(x)^-1=x+12

Step-by-step explanation:

f(x)=x-12

y=x-12

x=y-12

y=x+12

f(x)^-1=x+12

Hope it helps.

6 0

3 years ago

Read 2 more answers

The area of a square is 50 meters. how long is each side? round your answer to the nearest meter.

DanielleElmas [232]

The closest would be 7
7x7 is 49 and that is the closest

8 0

3 years ago

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Which piecewise function is shown in the graph?

mash [69]

Based on the characteristics of linear and piecewise functions, the piecewise function $f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$ is shown in the graph attached herein. (Correct choice: A)

<h3>How to determine a piecewise function</h3>

In this question we have a graph formed by two different linear functions. Linear functions are polynomials with grade 1 and which are described by the following formula:

y = m · x + b (1)

Where:

x - Independent variable.
y - Dependent variable.
m - Slope
b - Intercept

By direct observation and by applying (1) we have the following piecewise function:

$f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

3 0

2 years ago

WRITE AN EQUATION 331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students we

Ad libitum [116K]

Answer: 54 students in each bus

Step-by-step explanation:

331 - 7 = 324

324 ÷ 6 = 54.

There were 54 students in each bus.

3 0

3 years ago

Read 2 more answers