A card is drawn from an ordinary deck of cards. What is the probability that the card is a king given that the card is red?

A. P(K|R) = 0.8
B. P(K|R) = 0.2
C. P(K|R) = 0.92
D. P(K|R) = 0.08

Answer:

HL Postulate

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HL Postulate(Hypotenuse - Leg) or RHS theorem -> If any two right angles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.  

AC ≅ DF , BC ≅ EF and ∠B ≅ ∠E ( both 90 0 )

∴ Δ ABC ≅ Δ DEF by RHS theorem

Theorem : Prove RHS theorem or postulate.

Given : AC = DF , BC = EF and ∠B = ∠E = 90 0

Prove that : ΔABC ≅ ΔDEF

Construction : Extend DE to G so that EG = AB. Join GF.

Statements

Reasons

1) AB = GE 1) Construction

2) ∠B = ∠FEG 2) Each 900

3) BC = EF 3) Given

4) ΔABC ≅ ΔGEF 4) By SAS postulate

5) ∠A = ∠G 5) CPCTC

6) AC = GF 6) If the two angles are congruent then angle opposite to them are equal

7) AC = DF 7) Given

8) DF = GF 8) By transitive property

9) ∠D = ∠G 9) Angles opposite to equal sides in ΔDGF are equal

10) ∠A = ∠D 10) From (5) and (9)

11) ∠B = ∠E 11) Given

12)∠A+∠B=∠D+∠E 12) Adding (10) and (11)

13) ∠C = ∠F 13) ∠A + ∠B + ∠C = 180

and ∠D + ∠E + ∠F = 1800

14) ΔABC ≅ ΔDEF 14) By SAS postulate and from (3) (7) and (13)

Step-by-step explanation:

Answer:

Step-by-step explanation:

HL is the the Hypothenuse Leg Postulate that sais that

If the hypotenuse and leg of one triangle are congruent

to the hypotenuse and leg of another triangle

then the triangles are congruent.

Answer:

A, she read 3 book in the first 2 months

Step-by-step explanation:

I hope this helps :)

The answer is 6.

9 times 6 = 54.

Answer: V^3

V times V times V

Step-by-step explanation:

I think?

Answer:

length of each is 51

Step-by-step explanation:

they are congruent triangles so they are equilateral

therefore, you can set 7x - 5 and 5x + 11 equal to each other and solve for 'x'

2x = 16

x = 8

Substitute 8 into each expression and both come out to be 51

Answer:

3/2y-3/8z

Step-by-step explanation:

-3/8(-4y)-3/8z

Answer:

All Real Numbers

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

If we graph the function, we see that the line stretches out from negative infinity to infinity for both x-values and y-values.

If that is the case, then that means that there is no restrictions on the y-values.

Therefore, our range is (-∞, ∞) or All Real Numbers.

Answer:

x>20/3

Step-by-step explanation:

Answer:

The correct answer is...

Fernando incorrectly found the product of –2 and –5.

I hope this helps! Have a nice day!

Answer:

e value = 6

i value = 1

Step-by-step explanation:

The system of equation are;

e - i = 5...(1)

e + 3·i = 9...(2)

Making e the subject of equations (1) and substituting the value of e equation (2) gives;

From equation (1), e - i = 5, we have, e = 5 + i

Substituting the value of e in equation (2), e + 3·i = 9 gives;

e + 3·i = (5 + i) + 3·i = 5 + 4·i = 9

4·i = 9 - 5 = 4

i = 4/4 = 1

i = 1

From e = 5 + i, we have;

e = 5 + i = 5 + 1 = 6

e = 6

Therefore;

e value = 6

i value = 1

Answer:

y=5x-10

Step-by-step explanation:

Answer:

It would be C, Y=x-7

Step-by-step explanation:

Each X in the left column is 7 more than Y in the right column.

Everytime theres an X, you subtract 7 to get Y, making the equation y=x-7

Answer:

the answer would be 64 hours

Step-by-step explanation:

You just had to divide 768 by 12

Answer:

$2800.00

Step-by-step explanation:

A total accrued amount 800 = principal (P) $2000 + interest (I)

R Rate of interest per year decimal - 0.08

X Rate of interest per year percentage - 8%

T time period months or years - 5 years

Equation will be A = P (1 + RT)

first convert X to R = percentage to decimal

X = R/100 = 8%/100 = 0.08 per year

Solving:

A = 2000 (1 + (0.08 x 5)) = 2800

A = $2800

Answer:

uh

Step-by-step explanation:

Answer:

[tex] \widehat {DC} [/tex]

Step-by-step explanation:

Since, DC is the diameter of the circle.

Therefore,

[tex]m\widehat{DC} = 180\degree [/tex]

Answer:

True

Step-by-step explanation:

The discriminant is the part of the quadratic formula that is inside the square root, b²-4ac. If b²-4ac is 32, a positive number, then the solutions will be rational numbers. If this discriminant was a negative value, then you would get imaginary numbers (non rational).

Answer:

The mean is the most common measure of center. It is what most people think of when they hear the word "average". However, the mean is affected by extreme values so it may not be the best measure of center to use in a skewed distribution. The median is the value in the center of the data.

Step-by-step explanation:

hope this helps

Answer:

$7.65

Step-by-step explanation:

Given that:

Money used for buying the four salmon steaks = $22.95

Weights of steaks in pounds = 0.68, 0.74, 0.77, and 0.81

To find:

Price of salmon steak per pound, to the nearest cent = ?

Solution:

Total weight of all 4 steaks = 0.68 + 0.74 + 0.77 + 0.81 = 3

Here, to find the price of salmon steak per pound we need to divide the total money used to buy salmon steaks with the total weight of salmon steaks in pounds.

Price of salmon steak per pound = [tex]\frac{22.95}{3} = \$7.65[/tex]

Answer:

10

Step-by-step explanation:

9(10-1)=81

Answer:

wait wut!!!?????????

Answer:

9x + 2y

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

9x - 3y + 5y

Step 2: Simplify

Answer: (1, -2) (4, -8) (-5, 10) ( 3, -6)

Step-by-step explanation:

You solve all of them by inputting the x value's into the x in the equation

Here:

y= -2(1)   x=1 y= -2

y= -2(4)   x=4 y= -8

y= -2( -5)  x= -5 y= 10

y= -2(3)   x= 3    y= -6

Answer:

[tex]c=5d+50[/tex]

Step-by-step explanation:

Given that:

Supplies of the lemonade bought at price = $50

Money paid per day to setup lemonade stand at the park = $5

To find:

Equation of her total cost.

Solution:

Let the number of days = [tex]d[/tex]

Per day cost of setting up the lemonade stand is given as $5.

If the number of days are [tex]d[/tex], then the cost of [tex]d[/tex] days can be found by multiplying the per day cost with the number of days.

Therefore, the expression for cost for [tex]d[/tex] number of days = [tex]\$5d[/tex]

Total cost for [tex]d[/tex] number of days can be found by adding the cost of supplies and cost for [tex]d[/tex] number of days for setting up the stand:

[tex]c=5d+50[/tex]

Answer:

x = -4  y = -2(-4) - 4 = -12

x = -2  y = -2(-2) - 4 = 0

x = 0  y = -2(0) - 4 = -4

x = 2  y = -2(2) - 4 = -8

Hope this helps! ;)

Final Answer: [tex]b = -1[/tex]

Steps/Reasons/Explanation:

Question: [tex]7b - 2/5 = 6b - 7/5[/tex] equations with variables on both sides: decimals & fractions.

Step 1: Subtract [tex]6b[/tex] from both sides.

[tex]7b - \frac{2}{5} - 6b = -\frac{7}{5}[/tex]

Step 2: Simplify [tex]7b - \frac{2}{5} - 6b[/tex] to [tex]b - \frac{2}{5}[/tex].

[tex]b - \frac{2}{5} = -\frac{7}{5}[/tex]

Step 3: Add [tex]\frac{2}{5}[/tex] to both sides.

[tex]b = -\frac{7}{5} + \frac{2}{5}[/tex]

Step 4: Simplify [tex]-\frac{7}{5} + \frac{2}{5}[/tex] to [tex]-1[/tex].

[tex]b = -1[/tex]

~I hope I helped you :)~

Answer:

a and c

Step-by-step explanation:

Answer:

Step-by-step explanation:

1S. JM bisects ∠ KJL and  ∠JMK ≅ ∠JML

1R. Given

2S. ∠KJM ≅ ∠LJM

2R. Angle bisectors form ≅ ∠s

3S. JM≅JM

3R. Reflexive Propriety ( segment is ≅ with itself)

4S. ΔJMK ≅ΔJML

4R. ASA theorem of congruency

5S. JK≅JL

5R. Coresponding parts of congruent Δs are congruent (CPCTC)

Answer:

Subtraction

Step-by-step explanation:

Answer:

Radius length: √5

Standard Form (Equation): (x + 4)^2 + y^2 = 5

Step-by-step explanation:

First we will determine the radius;

Center: (-4, 0)

Point on Circumference: (-2, 1)

d = √(-2 - (-4))^2 + (1 - 0)^2 = √(2)^2 + (1)^2

= √4 + 1 = √5

Therefore the radius is of length √5

Now the equation of a circle is in the form ((x - h)^2 + (y - k)^2) = r^2. The center is in the form (h,k) and r is the radius. Given this our equation would be (x - (-4))^2 + (y - 0)^2 = (√5)^2, or [simplified] (x + 4)^2 + y^2 = 5.

Answer:

its C. (x + 4)² + y² = 5

Step-by-step explanation:

edge