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2 years ago

FIND X IF AB=X+12, BC = x + 12₁ And AC = 14

Mathematics

1 answer:

MissTica2 years ago

3 0

Given that B is a point between point A and C, the numerical value of x is -5.

<h3>What is the numerical value of x?</h3>

An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.

Given the data in the question;

B is a point between point A and C
Segment AC = 14
Segment AB = x + 12
Segment BC = x + 12
Numerical value of x = ?

Since B is a point between point A and C.

Segment AC = Segment AB + Segment BC

Plug in the given values and solve for the value of x

Segment AC = Segment AB + Segment BC

14 = (x + 12) + (x + 12)

14 = x + 12 + x + 12

14 = 2x + 24

2x = 14 - 24

2x = -10

x = -10/2

x = -5

Given that B is a point between point A and C, the numerical value of x is -5.

Learn more about equations here: brainly.com/question/9236233

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Find the constant of proportionality for the table and write in the form y = kx.

atroni [7]

Answer:

y=4x

Step-by-step explanation:

it's enough to use first column (x=6, y=24). Inserting this data into equation y=kx, we can calculate k.

24=k*6

6k = 24

k = 24/6

k = 4

6 0

4 years ago

Can someone pleaseee help me!!

Cloud [144]

Answer:

121

Step-by-step explanation:

180°-74° = 106°

106°= x-15°

106+15= X

x= 121

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8 0

3 years ago

Write the slope-intercept form of the equation of each line 13x-2y=14

HACTEHA [7]

Answer:

Step-by-step explanation:

First, lets put this into y=mx+b form.

You can bring the 13x over to the 14, by subtracting and you get -2y=14-13x, or also -2y = -13x + 14

Then you can divide both sides by -2 to get y, and you get

-2y/-2 = -13x/-2 + 14/-2 which is simplified to y=13/2x + (-7) which is

y=13/2x-7

{[( IMPORTANT )]}

THIS HAS THE SLOPE IN A IMPROPER FRACTION... CHECK IF YOU USE MIXED NUMBERS OR IMPROPER FRACTIONS

the mixed number form is y = 7 1/2 x -7

Hope this helps!

7 0

3 years ago

Gabrielle's age is three times Mikhail's age. The sum of their ages is 56, what is Mikhail’s age?

4vir4ik [10]

Gabrielle's age is 3x (in which x is mikhail's age)
the sum is 56 so 3x+x=56

3x+x=56
4x=56
x=14

since x was mikhail's age, mikhail is 14 years old

6 0

3 years ago

Suppose that the amount of time T a customer spends in a bank is exponentially distributed with an average of 10 minutes. What i

Bad White [126]

Answer:

The probability that a customer will spend more than 15 minutes total in the bank, given that the customer has already waited over 10 minutes is 0.6065.

Step-by-step explanation:

The random variable T is defined as the amount of time a customer spends in a bank.

The random variable T is exponentially distributed.

The probability density function of a an exponential random variable is:

$f(x)=\lambda e^{-\lambda x};\ x>0$

The average time a customer spends in a bank is β = 10 minutes.

Then the parameter of the distribution is:

$\lambda=\frac{1}{\beta}=\frac{1}{10}=0.10$

An exponential distribution has a memory-less property, i.e the future probabilities are not affected by any past data.

That is, P (X > s + x | X > s) = P (X > x)

So the probability that a customer will spend more than 15 minutes total in the bank, given that the customer has already waited over 10 minutes is:

P (X > 15 | X > 10) = P (X > 5)

$\int\limits^{\infty}_{5} {f(x)} \, dx =\int\limits^{\infty}_{5} {\lambda e^{-\lambda x}} \, dx\\=\int\limits^{\infty}_{5} {0.10 e^{-0.10 x}} \, dx\\=0.10\int\limits^{\infty}_{5} {e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10}|^{\infty}_{5}\\=[-e^{-0.10 \times \infty}+e^{-0.10 \times 5}]\\=0.6065$

Thus, the probability that a customer will spend more than 15 minutes total in the bank, given that the customer has already waited over 10 minutes is 0.6065.

8 0

3 years ago