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3 years ago

Find AB using the segment addition postulate. Show all work in setting up and solving your equation.

Mathematics

1 answer:

wolverine [178]3 years ago

4 0

Answer:

AB = 12

Step-by-step explanation:

Segment addition postulate,

AC = AB + BC

24 = 2x+6+5x-3

Adding the like terms,

7x+3 = 24

Subtract 3 from both sides,

7x = 24-3

7x = 21

Divide by 7,

x = 21/7

x = 3

AB = 2x+6

AB = 2*3 + 6

AB = 6 + 6

AB = 12

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a super fast chess computer can perform 200,000,000 calculations per second how many calculations can it preform in the 3 minute

satela [25.4K]

3×60=180 seconds (60 seconds in 1 minute)
180×200,000,000= 36,000,000,000 calculations

3 0

4 years ago

An entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the

notsponge [240]

Answer:

We conclude that the daily average revenue was actually $675.

Step-by-step explanation:

We are given that the current owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75.

A sample of 30 days reveals a daily average revenue of $625.

Let $\mu$ = daily average revenue.

So, Null Hypothesis, $H_0$ : $\mu$ = $675 {means that the daily average revenue was $675}

Alternate Hypothesis, $H_A$ : $\mu$ $\neq$ $675 {means that the daily average revenue was different from $675}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample daily average revenue = $625

$\sigma$ = population standard deviation = $75

n = sample of days = 30

Since, we are given that we have decided not to reject the null hypothesis which leads us to the conclusion that the daily average revenue was actually $675.

3 0

4 years ago

Explain the relationship between the legs and the hypotenuse of a right triangle.

podryga [215]

Answer:

According to the pythagorean theorem, a^2 + b^2 =c^2

c signifies the hypotenuse

a and b are the two legs

the sum of the two legs squared measures will equal the measure of the hypotenuse squared.

Step-by-step explanation:

6 0

4 years ago

Shelby mixes a 25% bleach solution with 5 cups of a 10% bleach solution, resulting in a 20% bleach solution. The table shows the

german

Answer:

Step-by-step explanation:

We will use a system of equations to solve this. We do not know how much of the 25% bleach solution is used; we will use x to represent this. We know that 5 cups of the 10% solution was used. We do not know how much of the resulting solution we have; we will use y to represent this. This gives us the equation

x+5 = y

Using the decimal forms of the percentages for each solution, we have 0.25x (25% solution for x cups), 0.1(5) (10% solution for 5 cups) and 0.2y (20% solution for y cups); this gives us the equation

0.25x+0.1(5) = 0.2y

This gives us the system

$\left \{ {{x+5=y} \atop {0.25x+0.1(5)=0.2y}} \right.$

To use elimination, we will make the coefficients of x the same by multiplying the top equation by 0.25:

$\left \{ {{0.25(x+5=y)} \atop {0.25x+0.5=0.2y}} \right. \\\\\left \{ {{0.25x+1.25=0.25y} \atop {0.25x+0.5=0.2y}} \right.$

We will now subtract the second equation from the first:

$\left \{ {{0.25x+1.25=0.25y} \atop {-(0.25x+0.5=0.2y)}} \right. \\\\0.75 = 0.05y$

Divide both sides by 0.05:

0.75/0.05 = 0.05y/0.05

15 = y

There were 15 cups of the resulting 20% solution. Substituting this into the first equation, we have

x+5=15

Subtract 5 from each side:

x+5-5=15-5

x = 10

7 0

3 years ago

Read 2 more answers

What is the product of 3*the square root of 6 and 5*the square root of 12 in simplest radical form

ira [324]

√
6
⋅
√
15
=
3
√
10

Explanation: By radical laws,
√
a
⋅
√
b
=
√
a
b
.
Using this law:
√6⋅√15
=√90

√90 has 9, a perfect square, as one of its factors, so it can be simplified.
√90
=√9⋅10
=√9⋅√10

=3√10

8 0

3 years ago