PLS HELP 20 points
Triangle ABC is a right triangle with right angle B and altitude BD. If DC =54, AC=60, find AB (x) and BD (y)

Answer:

A. X∪Y = {25, 36, 49}

B. X∩Y = ∅ i.e empty set

C. X' = {21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48}

D. X′∩Y∩Z = ∅

Step-by-step explanation:

We'll begin by determining the universal set (ε), set X, set Y and set Z.

This can be obtained as follow:

ε = {whole numbers less than 50 but greater than 20}

ε = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49}

X = {perfect squares}

X = {25, 36, 49}

Y = {factors of 12}

Y = ∅ i.e empty

Z = {prime numbers}

Z = {23, 29, 31, 37, 41, 43, 47}

A. Determination of X∪Y

X = {25, 36, 49}

Y = ∅

X∪Y =?

X∪Y => combination of elements in set X and Y without repeating any element in both X and Y.

X∪Y = {25, 36, 49}

B. Determination of X∩Y

X = {25, 36, 49}

Y = ∅

X∩Y =?

X∩Y => elements common to both set X and Y

X∩Y = ∅ i.e empty

C. Determination of X′

ε = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49}

X = {25, 36, 49}

X' =?

X' => elements in the universal set but not found in set X.

X' = {21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48}

D. Determination of X′∩Y∩Z

X' = {21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48}

Y = ∅

Z = {23, 29, 31, 37, 41, 43, 47}

X′∩Y∩Z =?

X′∩Y∩Z => elements common to set X', Y and Z

X′∩Y∩Z = ∅

Answer:

390.7ft³ is the answer

Answer:

LM = 15 units

Step-by-step explanation:

Vertices of ΔLMN are,

L(9, 7), M(9, -8), N(1, 7)

By using formula to get the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Therefore, distance between vertices L and M,

LM = [tex]\sqrt{(9-9)^2+(7+8)^2}[/tex]

LM = 15 units

Answer:

Sample Response: The closure property of multiplication for rational expressions states that the product of two rational expressions is a rational expression. Since the variable in a rational expression just represents a number, and the closure property holds true for multiplication of rational numbers, it also holds true for multiplication of rational expressions for values for which the expressions are defined.

Step-by-step explanation:

Answer:

XY = 13 cm

Step-by-step explanation:

Area of a triangle formula:

area = base × height / 2

a = bh / 2

Plug numbers into equation:

32.5 = b × 5 / 2

Multiply both sides by 2 to isolate the variable

65 = b × 5

Divide both sides by 5 to isolate the variable

13 = b

Check your work:

32.5 = 13 × 5 / 2

32.5 = 65 / 2

32.5 = 32.5

Correct

Answer:

13

Step-by-step explanation:

Area=½×b×h

32.5=½×b×5

32.5=5/2b

To get be multiply each side by reciprocal of 5/2 which is 2/5

b =13

2p-4+16=5p-9

-3p-4+16=-9

-3p-4=16+-9

And if you can solve from there cuz that's a lot of mental math for me. if u see these:() always distribute whatever is before it.

Answer:

197.095

Step-by-step explanation:

Mean, m = 219 ft²

Standard deviation, s = 32.5 ft²

For a bedroom to be among the smallest 25%

P(x < Z) = 0.25

From Z probability calculator, this corresponds to a Zscore of - 0.674

Recall :

Zscore = (x - m) / s

x = bedroom size

-0.674 = (x - 219) / 32.5

-0.674 * 32.5 = x - 219

-21.905 = x - 219

x = - 21.905 + 219

x = 197.095

Hence, the largest a bedroom can be and still be among the smallest 25% is 197.095

Answer:

Lily earns $225

y represents the amount that Lily earns

x represents the painting's price

Step-by-step explanation:

Answer:

y= -1/2x - 2

Step-by-step explanation:

To change standard form to slope intercept form, bring the -x to the other side of the equation.

You'll have 2y=-4-x. Since there is no number on the -x, put a 1 on the front of it. (Not necessary). You'll have 2y= -4 -1x

Make y stand on its own. Divide the other side by 2.

You will end up with y= -1/2x -2

Answer:

1/16 hope this helps you

Answer:

Sample space: {Black, Red, Blue, Brown, Purple, Yellow, Green}

Simple event

Step-by-step explanation:

Sample space is a list of all the possible outcomes.

This is a simple event because you are only doing one event, such as choosing marbles from a bag.

A compound event would be multiple simple events, such as flipping a coin and rolling a dice.

Answer: City A, [tex]0.28^{\circ}C[/tex]

Step-by-step explanation:

Given

The temperature of city A is [tex]86.7\ ^{\circ}F[/tex]

The temperature of city B is [tex]30.1^{\circ}C[/tex]

We know, [tex]32^{\circ}F=0^{\circ}C[/tex]

So, [tex]86.7^{\circ}F=30.38^{\circ}C[/tex]

[tex]30.38>30.1[/tex]

Clearly, the average temperature of city A is more than city B

The difference in temperature is [tex]30.38-30.1=0.28^{\circ}C[/tex]

Answer:

The answer should be that Q is (-3,-2)

Step-by-step explanation:

Answer:

153.86 mm²

Step-by-step explanation:

Radius of circle = diameter/2 = 14/2 = 7mm

Area of circle = πr² = (3.14)(7mm)²

= 3.14 x 49 mm²

= 153.86 mm²

Answer:

Thank youuu !

Step-by-step explanation:

Answer:

Thank you

Step-by-step explanation:

Answer:

29 degrees

Step-by-step explanation:

Both angles are the same.

Answer:

the answer is 70

Step-by-step explanation:

Because I'm in collage I know this stuff just trust me here

Answer=53

Step-by-step explanation:

Answer:

8 bags

Step-by-step explanation:

You divided them by 20 which gives you 4. So you take the 3 and multiply by 4 which is 12 bags. And then you do the same for your bags which makes you do 2 times 4 which gives you 8. You take 20 - 12 and that leaves you with 8.

Answer:

1:20:500

Step-by-step explanation:

2m:8cm:4mm

Convert the three to a single unit, take mm giving 2000:80:4

In its simplest form 500:20:1=1:20:500

Answer:

1/3 of the pizza remains.

Step-by-step explanation:

Matthew eats 1/3 of 1/2 of the pizza, which is (1/3)*(1/2) = 1/6 of the pizza.  The amount of pizza left is

1/2 - 1/6 = 3/6 - 1/6 = 2/6 = 1/3

1/3 of the pizza remains.

Answer:  502.4 m

Step-by-step exp

Answer: C or 502.04

Step-by-step explanation: took the practice got 100%

Answer:

she might go 50mph

Step-by-step explanation:

Answer:

(1,-2)

Step-by-step explanation:

The pic above the answer is how I got my answer. if you need to show your work you can use that

Answer:

option b 66.5u square is the correct ans

Answer:

what if i took the 4 other ones??

Answer:

4 kids

Step-by-step explanation:

6 minus 2 equals 4. it one easy qusation