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3 years ago

Name a theorem or postulate that lets you conclude ΔABD≅ΔCBD

Mathematics

1 answer:

Arturiano [62]3 years ago

5 0

Answer:

AAS

Step-by-step explanation:

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One of the wagers in roulette is to bet that the ball will stop on a number that is a multiple of 3. (Both 0 and 00 are not incl

Arlecino [84]

Answer:

The players expectation is -0.1052

Step-by-step explanation:

Consider the Roulette numbers to from 1-36, also the two green zeroes 0 and 00,

Thus, there are 38 places on which the ball can land.

On first 36 numbers, 12 of them are divisible by 3. Also there are 26 numbers which are not divisible by 3.

The probability of a wager winning is: 12/38 or 6/19

Now the probability of a wager to loss is: 26/38 or 13/19

So for a 6/19 chance of winning $4 and a 13/19 chance of losing $2.

Therefore, the expected outcome is:

4 × 6/19 + -2 × 13/19 = 1.2632 - 1.3684 = -0.1052

The expected value comes up with a negative sign. Hence, he will lose money.

The players expectation is -0.1052

8 0

3 years ago

Find the value of cos E rounded to the nearest hundredth, if necessary. please help thanks

bonufazy [111]

Answer:

cos(E)=0.8

Step-by-step explanation:

cos(E)=adjacent/hypotenuse

Using a common pythagorean triple, we can find that side GE is 30 (18^2+24^2=30^2)

Then we just get cos(E)=24/30, which is 0.8

4 0

2 years ago

Find the equation of a line that passes through the points (-1,-5) and (-3,-4). Leave your answer in the form y=mx+c

MaRussiya [10]

Answer:

y = -1/2x - 11/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-4 - (-5) / -3 - (-1)

1/ -2

= -1/2

y = -1/2x + b

-5 = -1/2(-1) + b

-5 = 1/2 + b

-11/2 = b

8 0

3 years ago

A total of $37185 is invested at an annual interest rate of 2% compounded quarterly. Find the balance after 11 years.

vazorg [7]

A=37,185×(1+0.02÷4)^(4×11)
A=46,309.97

8 0

3 years ago

A building is 2 ft from a 7 - ft fence that surrounds the property . A worker wants to wash a window in the building 11 ft from

White raven [17]

<u>Answer:</u>

The height of the ladder is 14.491 feet

<u>Explanation</u>:

Given the height is 11 feet

Base = 7 + 2 = 9 feet

Consider the ladder to be the hypotenuse

Applying Pythagoras Theorem,

$H^2 = P^2 + B^2$

Substituting the values in the above formula,

$H^2$ = 112 + 92

$H^2$ = 121 + 81

$H^2$ = 210

H = sqrt(210)

H = 14.491

Therefore, the height of the ladder is 14.491 feet

3 0

3 years ago