ASAP ANSWER PLEASE

PolarNik [594]

Answer:

A two column proof is presented as follows;

Statement ${}$ Reason

1. AB ║ DE, BD bisects AE ${}$ Given

2. ∠BAE = ∠AED, ∠ABD = ∠BDA ${}$ Alternate ∠s are equal

3. $\overline {AC}$ = $\overline {EC}$ , $\overline {BC}$ = $\overline {CD}$ ${}$ ${}$ By definition of bisection of line AE by BD

4. ΔABC ≅ ΔEDC ${}$ By SAA, rule of congruency

Step-by-step explanation:

Step 1. AB ║ DE, BD bisects AE ${}$ Given

Step 2. ∠BAE , ∠AED, and ∠ABD, ∠BDA ${}$ are pairs of alternate angles formed by the parallel lines, AB and DE and are therefore, equal

Step 3. $\overline {AC}$ = $\overline {EC}$ , $\overline {BC}$ = $\overline {CD}$ The bisection of line gives two lines of equal length. The bisection of AE by BD gives, $\overline {AC}$ and $\overline {EC}$ where $\overline {AC}$ = $\overline {EC}$

Similarly, the bisection of BD by AE gives, $\overline {BC}$ and $\overline {CD}$ , where $\overline {BC}$ = $\overline {CD}$

Step 4. ΔABC ≅ ΔEDC ${}$ By the Side-Angle-Angle (SAA), rule of congruency, which states that two triangles having two angles and the corresponding non included sides of each triangle equal to the other, the two triangles are congruent.

6 0

3 years ago

Determine if this relationship forms a direct variation. Verify your answer.

leva [86]

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

so

we have

a) for x=1 y=0.50--------> y/x=0.50/1------> 0.50

b) for x=2 y=1--------> y/x=1/2-------> 0.50

c) for x=3 y=1.50--------> y/x=1.50/3-----> 0.50

d) for x=5 y=2.50--------> y/x=2.50/5----> 0.50

the value of k is equal to 0.50

so

the relationship forms a direct variation.

the equation is

y=0.50*x

Verify

for x=1

y=0.50*(1)------> y=0.50-----> is correct

for x=2

y=0.50*(2)------> y=1.00-----> is correct

for x=3

y=0.50*(3)------> y=1.50-----> is correct

for x=5

y=0.50*(5)------> y=2.50-----> is correct

4 0

2 years ago

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Consider dealing a hand of 8 cards from a well shuffled standard deck of playing cards. The expected value of the number of face

zzz [600]

Answer:

2 face cards

Step-by-step explanation:

By definition, there are 12 face cards (Kings, queens, and jacks) and 36 numbered cards (2's through 10's) in a standard deck of 52 cards. Aces are not considered face cards (no face on the card).

The ratio of face cards in a full deck is (12/52) or slightly over 23%.

The likelihood of a face card in a hand of 8 cards is:

(8 cards)*(12 face cards/52 cards) = 1.85 cards. We need to round to the nearest whole card, so the expected number of face cards in a hand of 8 is 2 cards.

8 0

1 year ago

Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of f(x)=x^2+2 for 0≤x≤5 about x

Irina18 [472]

For each x in the interval 0 ≤ x ≤ 5, the shell at that point has

• radius = 5 - x, which is the distance from x to x = 5

• height = x ² + 2

• thickness = dx

and hence contributes a volume of 2π (5 - x) (x ² + 2) dx.

Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:

$\displaystyle 2\pi \int_0^5 (5-x)(x^2+2)\,\mathrm dx=2\pi\int_0^5 (10-2x+5x^2-x^3)\,\mathrm dx=\boxed{\frac{925\pi}6}$

4 0

2 years ago

The three methods used to classify costs into their fixed and variable components includes:_____.

Allushta [10]

Answer:

a. high-low method.

b. scatter diagrams.

d. least-squares regression.

Step-by-step explanation:

Costing is a measurement of the cost of production of goods and services by assessing the fixed costs and variable costs associated with each step of production.

Fixed cost can be defined as predetermined expenses in a business that remain constant for a specific period of time regardless of the quantity of production or level of outputs. Some examples of fixed costs in business are loan payments, employee salary, depreciation, rent, insurance, lease, utilities etc.

On the other hand, variable costs can be defined as expenses that are not constant and as such usually change directly and are proportional to various changes in business activities. Some examples of variable costs are taxes, direct labor, sales commissions, raw materials, operational expenses etc.

In Financial accounting, the three methods used to classify costs into their fixed and variable components includes high-low method, scatter diagrams and least-squares regression.

The high-low method is a quick and easy way to estimate costs by using historical accounting information from a range of reporting periods.

A scatter diagram (scattergraph) estimate costs by considering all the data points and not just the lowest or highest point.

A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.

Generally, the sum of the residuals of a least squares regression line is always equal to zero.

4 0

3 years ago

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