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NARA [144]
3 years ago
8

Solve Similar triangles Solve for x. x=?

Mathematics
1 answer:
Julli [10]3 years ago
7 0

Answer:

x = 2

Step-by-step explanation:

AB/BC = AD/DE

\frac{2}{1} = \frac{2+x}{2}

cross-multiply:

2+x = 4

x = 2

You might be interested in
Which list gives all of the line segments in the figure
aalyn [17]

Answer:

A. AB, BC, CD, AD, AC, BD

the first option! it has complete list of the line segments.

4 0
3 years ago
Read 2 more answers
) The manager of a local Gap store estimates that on average the probability of a customer entering the store and will purchase
xeze [42]

Answer: 1. 0.0256

2. 0.4096

Step-by-step explanation:

Binomial probability formula , to find the probability of getting x successes:

P(x)=^nC_xp^x(1-p)^{n-x} , where n= Total number of trials

p= Probability of getting success in each trial.

Let x be the number of customers will make purchase.

As per given , we have

p= 0.20

n= 4

1. The probability that 3 of the next 4 customers will make a purchase will be:-

P(x=3)=^4C_3(0.20)^3(1-0.20)^{4-3}

P(x=3)=(4)(0.20)^3(0.80)^{1}\ \ [\because\ ^nC_{n-1}=n]

P(x=3)=(4)(0.008)(0.80)=0.0256

Hence, the probability that 3 of the next 4 customers will make a purchase = 0.0256

2. The probability that none of the next 4 customers will make a purchase will be :

P(x=0)=^4C_0(0.20)^0(1-0.20)^{4-0}

P(x=0)=(1)(0.80)^{4}\ \ [\because\ ^nC_{0}=1]

P(x=0)=0.4096

Hence, the probability that none of the next 4 customers will make a purchase= 0.4096

5 0
3 years ago
If the student is a domain/inout and the hair color is the range/output how is these two set of relation not a function?
IRINA_888 [86]

Answer:

A function is a relation that maps inputs from a set called the domain, into outputs from a set called the range.

Such that each input can be mapped into only one output.

So for example, if we have a relation that maps the input 2 into two different values:

f(2) = 4

f(2) = 8

Then this is not a function.

In the case of the problem, we have a student as the input, and the hair color as the output.

So we will have something like:

f(student) = blond

And if this student decides to change his/her hair color to red?

Then the function becomes:

f(student) = red

So for the same input, we had two different outputs, which means that this is not a function.

We also could have the case where a given student has two colors (Californian for example)

Where again, we would see two different outputs for one single input.

6 0
2 years ago
Does anyone know how to do this (#2) PLZZZZ HELPPPPPPPP
timurjin [86]

Answer:

a.- slope= 36

Interpretation : The cable car travels 36 meter per minute

b.- y = 36x + 100

c.- 640 meters

Step-by-step explanation:

a.-

Find slope using the slope formula : \frac{y2-y1}{x2-x1}

Plug in the two given points: \frac{1000-100}{25-0}

Subtract the numbers : \frac{900}{25}

Reduce the fraction : 36

b.-

Using the given y-interspet (100) and the slope create an equation: y = 36x + 100

c.-

Using the equation you created plug in 15 for x to find the

distance: y = 36 (15) + 100

Multiply the numbers : y = 540 + 100

Add the numbers : y = 640

8 0
3 years ago
Problem Page A principal of $2100 is invested at 7.75% interest, compounded annually. How much will the investment be worth afte
just olya [345]

Answer:

After 12 years the investment will be worth $5145.

Step-by-step explanation:

The formula used for compounded interest is:

A = P(1+r/n)^nt

where,

A = future value

P = Principal Amount

r = interest rate

n = no of times interest is compounded

t = time

In the question given:

A=?

P = $2100

r = 7.75% or 0.0775

n = 1

t= 12

A= 2100*(1+0.0775/1)^1*12

A= 2100 *(1+0.0775)^12

A= 2100 *(1.0775)^12

A= 2100 * 2.45

A= 5145

So, after 12 years the investment will be worth $5145.

6 0
2 years ago
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