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2 years ago

If point D is placed on AC, how will the measure of DAB relate to the measure of CAB?

Mathematics

1 answer:

xeze [42]2 years ago

6 0

Answer:angle DAB will be equal to angle CAB

Step-by-step explanation:

AC is a straight line and forms one of the sides of triangle ABC. If point D is placed on line AC, angle DAB would remain equal to angle CAB since they are on the same line the angle formed with line AB remains the same.

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Solve for x in the equation x squared minus 12 x + 59 = 0. x = negative 12 plus-or-minus StartRoot 85 EndRoot x = negative 6 plu

fgiga [73]

Value of x is: $x=6\pm\sqrt{23}i$

Option B is correct option.

Step-by-step explanation:

We need to solve the equation $x^2-12x+59=0$ and find value of x.

Using quadratic formula:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Putting values of a, b and c and finding the value of x

a=1, b=-12 and c=59

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-12)\pm\sqrt{(-12)^2-4(1)(59)}}{2(1)}\\x=\frac{12\pm\sqrt{144-236}}{2}\\x=\frac{12\pm\sqrt{-92}}{2}\\x=\frac{12\pm\sqrt{92}i}{2}\\We\,\,know\,\sqrt{-1} \,\,is\,\,i\\x=\frac{12\pm2\sqrt{23}i}{2}\\x=\frac{2(6\pm\sqrt{23}i)}{2}\\x=6\pm\sqrt{23}i$

So, value of x is: $x=6\pm\sqrt{23}i$

Option B is correct option.

4 0

2 years ago

Read 2 more answers

1. Which situation does NOT represent a functional relationship?

Alex

Answer:

1. D
2. C

Step-by-step explanation:

1. .....................................................................................................

A. This is a functional relationship as the number of workers depend on the number of job sites.

y = 5x

B. This is a functional relationship as the amount of money is dependent on the number of withdrawals

y = 2500 - 200x

C. This is a functional relationship as the number of vitamins depend on the number of monkeys

y = 3x

D. This is NOT a functional relationship as the output is a fixed value. The performance and scoring may repeat.

2. .....................................................................................................

<h3>Given</h3>

A = 62x -100
B = 2x - 3

<h3>Solution</h3>

A/B =
(62x - 100)/(2x - 3) =
(31*2x - 31*3 - 7)/(2x - 3) =
(31(2x - 3) -7)/(2x - 3) =
31 - 7/(2x - 3)

Correct option is C.

7 0

2 years ago

The geometric sequence a i a i a, start subscript, i, end subscript is defined by the formula: a 1 = 8 a 1 =8a, start subscr

frozen [14]

Question:

The geometric sequence ai is defined by the formula: a₁ = 8, aᵢ = aᵢ₋₁(-1.5 ).

Find the sum of the first 20 terms in the sequence. Choose 1 answer:

Answer:

The sun of 20 terms of the progress is -10,637.621536256

Step-by-step explanation:

Given

Geometric Sequence

a₁ = 8

aᵢ = aᵢ₋₁(-1.5 )

First, the common ratio needs to be calculated.

The common ratio is the ratio of a term to its previous term.

In other words,

Ratio = 2nd term ÷ 1st term or 3rd term ÷ 2nd term, ...... Etc.

We can calculate the common ratio from aᵢ = aᵢ₋₁(-1.5 ) by dividing both sides by aᵢ₋₁. This gives

aᵢ / aᵢ₋₁ = aᵢ₋₁(-1.5 ) / aᵢ₋₁

aᵢ / aᵢ₋₁ = -1.5

So, the common ratio, r = -1.5

Now that we've had the common ratio and first term to be -1.5 and 8 respectively, the sum of 20 terms can then be calculated using the sum of n terms formula.

Sₙ = a(1 - rⁿ)/(1 - r)

We're making use of this formula because r is less than 1

Where n = 20

a = first term = 8

r = -1.5

By substituting these values; we get

S₂₀ = 8(1 - (-1.5)²⁰)/(1 - (-1.5))

S₂₀ = 8(1 - (-1.5)²⁰)/(1 + 1.5))

S₂₀ = 8(1 - (3325.25673008

))/(2.5)

S₂₀ = 8(1 - 3325.25673008

)/(2.5)

S₂₀ = 8(-3324.25673008

)/(2.5)

S₂₀ = -10,637.621536256

5 0

1 year ago

Which is the domain of the function f(x) = Negative five-sixths (three-fifths) Superscript x?

amm1812

Answer:

All real numbers less than 0

Step-by-step explanation:

I think it's this one because greater than 0 is wrong

8 0

1 year ago

The random variable X is exponentially distributed, where X represents the waiting time to see a shooting star during a meteor s

faltersainse [42]

Answer:

The parameters of the exponential distribution is 0.0133.

Step-by-step explanation:

Exponential distribution is a continuous probability distribution.

The density function of exponential distribution is,

$f _{X}(x)=\theta \cdot e^{-\theta\cdot x},\ x\geq 0$

Here the parameter θ is the reciprocal of the mean of the random variable <em>X</em>.

The random variable <em>X</em> has an average value of 75 seconds.

Compute the parameters of the exponential distribution as follows:

$\theta=\frac{1}{\mu}\\\\$

$=\frac{1}{75}\\\\=0.013333333333\\\\\approx 0.0133$

Thus, the parameters of the exponential distribution is 0.0133.

3 0

1 year ago