Find the value of x. Show your work congruent triangles

Answer:

705.5 ft^2

Step-by-step explanation:

a=πr²

a=π15²

a=π225

a=(3.14)(225)

a=705.5

[tex]x = - \frac{2(5 + 3y)}{5} [/tex]

[tex]y = - \frac{5(2 + x)}{6} [/tex]

[tex]x = \frac{2(y - 3)}{3} [/tex]

[tex]y = \frac{3(2 + x)}{2} [/tex]

Answer:

x>22

Step-by-step explanation:

Answer: D

because the other options actually make sense ;)

Answer:

D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

B) No 27 is a multiple of 3 alone.

C) No 43 is prime. If you replaced it with 42 all would be well.

D) N 53 is prime.

A) everything is divisible by 7.

Answer:

Slope 'm' = [tex]\frac{5}{2}[/tex]

And y-intercept = 2

Step-by-step explanation:

Slope-intercept form of a line is given by the equation,

y = mx + b --------(1)

Here, m = slope of the line

b = y-intercept

Given equation is,

5x - 2y = -4

2y = 5x + 4

y = [tex]\frac{5}{2}x+2[/tex]

By comparing this equation with equation (1),

Slope 'm' = [tex]\frac{5}{2}[/tex]

And y-intercept = 2

Answer:

9.48

Step-by-step explanation:

Answer:

3√10 or about 9.49 units.

Step-by-step explanation:

To find the distance between any two points, we may use the distance formula given by:

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

Let (3, 5) be (x₁, y₁) and (12, 2) be (x₂. y₂). By substitution:

[tex]d=\sqrt{(12-3)^2+(2-5)^2[/tex]

Evaluate:

[tex]d=\sqrt{(9^2)+(-3)^2[/tex]

Square:

[tex]d=\sqrt{81+9}[/tex]

Simplify:

[tex]d=\sqrt{90}=\sqrt{9\cdot10}=\sqrt{9}\cdot\sqrt{10}=3\sqrt{10}\approx9.49[/tex]

The distance between (3, 5) an (12, 2) is 3√10 or about 9.49 units.

Answer:

Sydney is 31 years old.

Step-by-step explanation:

LET age of Devon be x years

and let age of Sydney be y years

if x=y-5-------(i)

x+y= 57 (sum)

Using (i)

(y-5)+y=57

2y=62

y=31

Answer:

70

Step-by-step explanation:

180 - 52 - 58 = q

q = 70

hope this helps...

Answer:

2X = Y

Step-by-step explanation:

To determine the equation that will allow to establish the amount of souvenirs bought by Aubrey (Y), taking into account that for each day of vacation (X) buys 2 souvenirs, the following must be taken into account:

The number of days (X) must be multiplied by 2. Thus, if you buy 2 souvenirs per day and your vacation lasts 4 days, you will have bought 8 souvenirs (4 x 2). Thus, the value of Y is equal to 2X, that is:

2X = Y

Answer:

⅓

[tex] \frac{5}{9} \times \frac{3}{5} [/tex]

[tex] = \frac{1}{3} \times \frac{1}{1} [/tex]

[tex] = \frac{1}{3} [/tex]

[tex] \frac{1}{3} \div \frac{3}{5} [/tex]

[tex] = \frac{1}{3} \times \frac{5}{3} [/tex]

[tex] = \frac{5}{9} [/tex]

#CarryOnLearning

Hey there!

When you see the word “of” in mathematical statement, it usually means “multiply” (aka Multiplication)

“3/5 of 5/9”

3/5 • 5/9

MULTIPLY the NUMERATORS (TOP NUMBERS) from each other & also MULTIPLY the DENOMINATORS (BOTTOM NUMBERS) from each other!

3(5) / 5(9)

3(5) = 15 ⬅️ NUMERATOR

5(9) = 45 ⬅️ DENOMINATOR

15/45

The GCF (Greatest Common Factor) for both of your numbers is: 15.. so DIVIDE both the NUMERATOR and DENOMINATOR from 15

15 ÷ 15 / 45 ÷ 15

15 ÷ 15 = 1 ⬅️ NUMERATOR

45 ÷ 15 = 3 ⬅️ DENOMINATOR

Answer: 1/3 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

Step-by-step explanation:

C

Answer:

9h - 9

Step-by-step explanation:

9(h - 1)

distribute

(9 * h) + (9 * - 1)

9h + (9 * - 1)

9h + -9

9h - 9

Answer:9h-9

Step-by-step explanation:

Answer:

There isn't a clear answer

Step-by-step explanation:

Answer:

The square root is 371293.

Step-by-step explanation:

We solve this question using properties of exponents.

The square root of 169 is 13, so the exponent given can be written as:

[tex]169^{5} = (13^{2})^5 = 13^{10}[/tex]

The square root of [tex]13^{10}[/tex] is given by:

[tex]\sqrt{13^{10}} = 13^{\frac{10}{2}} = 13^5 = 371293[/tex]

The square root is 371293.

Answer:

Help with what....????

Step-by-step explanation:

Step-by-step explanation:

Effective resistance in the 30Ω and 40Ω parallel circuit = 1 / (1/30 + 1/40) = 120/7 Ω.

20Ω + 10Ω = 30Ω

Effective resistance in the 50Ω and (20Ω + 10Ω) parallel circuit = 1 / (1/50 + 1/30) = 75/4 Ω.

Now we can add the resistances up:

Effective resistance for circuit

= 120/7 Ω + 75/4 Ω = 1005/28 Ω.

Hence I = V / R

= 9.0V / (1005/28 Ω) = 0.25A. (2s.f.)

Answer:

f(-121) = -5

f(31) = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = ∛(x - 4)

f(-121) is x = -121

f(31) is x = 31

Step 2: Evaluate

f(-121)

f(31)

Answer:

1,2,4,29,58,116

Step-by-step explanation:

Prime factorization 116=2x2x29

Answer:

y=17

Step-by-step explanation:

y=4x+5

change x to 3

y=4(3)+5

y=12+5

y=17

The required value of y is 17 when x=3 for the given equation y = 4x + 5.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

The equation of function is given in the question, as follows:

y = 4x + 5

We have to determine the value of y when x=3 for the above equation.

As per the question, we have

y = 4x + 5

Substitute the value of x = 3 in the above equation,

y = 4(3) + 5

y = 12 + 5

y = 17

Thus, the required value of y is 17.

Learn more about the equations here:

brainly.com/question/10413253

#SPJ6

Answer:

A.

mean = 724.2

Median = 715

Mode = 768

B.

Range = 85

Standard deviation = 29.30

C.

Interval = [665.6, 782.8]

Step-by-step explanation:

Number of samples n = 25

Summation X= 769 + 691 + 699 +730+711+ 765+ 702 718 +719 +712+ 768 +688 +757+695 768 +735 +709 +758 +708+ 693 +736 700+ 687 +772 +715 = 18105

A.

1. Mean = 18105/25

= 724.2

2. Median is the middle value when arranged from the least value to the highest = 715

3. Mode is the number with the highest frequency = 768 (occured two times)

B.

1. Range = highest value - lowest value

Highest value = 772

Lowest value = 687

772-687 = 85

2. Standard deviation = √(X-barX)²/n-1

= √20604/25-1

=√858.5

= 29.30

Please check attachment for the full calculation of the standard deviation

C.

Interval

[Mean - 2(sd), mean + 2(sd)]

= [724.2-2x29.3, 724.2+2x29.3]

=[665.6, 782.8]

Answer:

D. 1.91

(got it right on edmentum)

Step-by-step explanation:

The standard error is 1.91.

For a data set the standard error is calculated by the ratio of standard deviation and square root of the sample size.

[tex]\rm Standard \; Error= \dfrac{ \sigma}{\sqrt{n}}[/tex]

Substituting the values

Standard Deviation = 25.29

Sample size = 175

Standard Error = 25.29 / √175

Standard Error = 1.91

Therefore the standard error is 1.91.

To know more about Standard Error

https://brainly.com/question/13179711

#SPJ2

Answer:

Answer:

2/3

Step-by-step explanation:

Given:

Number of eclairs = 3

Number of humbugs =2x+6=2(x+3)  

Number of mints =  x

Therefore, total number of sweets in the jar is,

s=3+2x+6+x=3x+9=3(x+3)

Now, probability of selecting a sweet to be humbug is given as:

 p(humbug)= number of humbugs/number of sweets

p(humbug)=2(x+3)/3(x+3)=2/3

Therefore, the probability that it is a humbug is 2/3

Step-by-step explanation:

Answer   A is 28

Step-by-step explanation:

Answer:

oop

Step-by-step explanation:

Answer:

Length, L = 9 feet.

Width, W = 11 feet.

Step-by-step explanation:

Given the following data;

Perimeter = 40 feet

Length = 3x

Width = 2x + 5

The perimeter of a rectangle is given by the formula;

P = 2(L + W)

40 = 2(3x + 2x +5)

40 = 2(5x + 5)

40 = 10x + 10

10x = 40 - 10

10x = 30

x = 30/10

x = 3

Now, to find the length;

Length, L = 3x

Substituting into the equation, we have;

Length, L = 3*3

Length, L = 9 feet

To find the width;

Width, W = 2x + 5

Substituting into the equation, we have;

Width, W = 2(3) + 5

Width = 6 + 5

Width, W = 11 feet.

Answer:

the amount of leaves that fall of the tree in one day

Step-by-step explanation:

n is the amount of days

f is the amount of leaves that fall in a day

Answer:

a total of 56 atoms

Step-by-step explanation:

Aluminum carbonate is the compound

Yes, you multiply what is inside the parentheses times 4 and also times 3. That is:

8 atoms of Al

36 atoms of Oxygen

and

12 atoms of Carbon

giving a total of 56 atoms

Answer:

3 trops

11 bops

Step-by-step explanation:

3×3=9

11×2=22

22+9=31