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1 year ago

7

Geometry: complete this proof, ASAP!!!

1 answer:

Tresset [83]1 year ago

3 0

Answer:

By definition, angles A and 1 are corresponding angles and angles B and 1 are consecutive angles. By the corresponding angles postulate, angles A and 1 are congruent, and by the consecutive angles theorem, angles B and 1 are supplementary. By the definition of supplementary angles, measures of angle B and 1 add up to 180 degrees (m<B + m<1 = 180). By definition of congruent angles, angles A and 1 have same measurement (m<A = m<1). By substitution property of equality, measures of angles A and B add up to 180 degrees (m<A + m<B = 180). By definition of supplementary angles, angles A and B are supplementary.

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What is the equation<br> example:: y=3/1x-6

hichkok12 [17]

Answer:

y = 4/6x - 4

Step-by-step explanation:

y = mx + b, m = slope and b = y intercept

Rise over run

Rise = +4

Run = +6

This means the slope is 4/6.

The y intercept is at -4.

Now, plug in the numbers for y = mx + b

y = 4/6x - 4

4 0

3 years ago

Of 340 male and 270 female employees at the home office of Gibraltar Insurance Company, 170 of the men and 180 of the women are

sineoko [7]

Answer:

The correct answer is 0.486.

Step-by-step explanation:

Total number of employees at the home office of Gibraltar Insurance Company is 270 + 340 = 610

Number of employees on flex time are 350, out of which 170 are men and 180 are women.

We need to find the probability that out of the given employees, a randomly chosen one is on flex time and is a man.

Favorable outcomes are 170 and total outcome is 350.

Thus the probability is given by $\frac{170}{350}$ = 0.4857≈ 0.486

5 0

3 years ago

An electronic system has each of two different types of components in joint operation. Let X and Y denote the lengths of life, i

AURORKA [14]

Answer:

a

The average cost is $E(C) = 66$

b

The standard deviation of cost is $\sigma = 9.798$

Step-by-step explanation:

From the question we are told that

$E(X) = 4$

$E(Y) = 2$

$E(X^2) = 24$

$E(Y^2) = 8$

The cost of replacing the two component is C = 50 + 2 X + 4 Y

The variance of X is mathematically represented as

V(X) = $E(X^2) - [E(X)]^2$

Substituting values

$V[X] = 24 - 4^2$

$V[X] =8$

The variance of Y is mathematically represented as

V(Y) = $E(Y^2) - [E(Y)]^2$

Substituting values

$V[Y] = 8 - 2^2$

$V[X] =4$

The average of replacing the two component is

$E(C) = 2 * E(X) + 4* E(Y)$

substituting value

$E(C) = 50 + 2 * (4) + 4* (2)$

$E(C) = 66$

The variance of replacing the two component is

$V(C) = V(50 + 2X +4Y)$ Note: The variance of constant is zero

and X and Y are independent

=> $V(C) = 2^2 * V(X) + 4^2 * V(Y)$

substituting values

=> $V(C) = 4 * 8 + 16 * 4$

=> $V(C) = 32 + 64$

=> $V(C) = 96$

The standard deviation is

$\sigma = \sqrt{V(C)}$

substituting values

$\sigma = \sqrt{96}$

$\sigma = 9.798$

6 0

2 years ago

How to solve for f(x)=9??? Help please

Alinara [238K]

There is nothing to solve for. You stated a constant function, where f(x) will always be 9.

8 0

3 years ago

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Molodets [167]

Answer:

x=5

Step-by-step explanation:

15-3x=0

15-3*5=0

15-15=0

7 0

3 years ago

Read 2 more answers