find the value of x.

The ∆ABC is an isosceles triangle and have the base angles m∠A and m∠C equal to 51° and the angle m∠B is equal to 78°.

An isosceles triangle have the measure of its base angles to be equal, and the sum of the interior angles sum up to 180°.

Given that sides AB ≅ BC, then the triangle ∆ABC has two sides with similar length and base angles so;

angles m∠A and m∠C are the base angles are both equal to 51°

m∠B = 180° - (51 + 51)° {sum of interior angles of a triangle}

m∠B = 180° - 102°

m∠B = 78°

Therefore, the isosceles triangle ∆ABC have the base angles m∠A and m∠C equal to 51° and the angle m∠B is equal to 78°.

Read more about Isosceles triangle here:https://brainly.com/question/1475130

#SPJ1

Answer:

decimal 0.13

percent is 13

Step-by-step explanation:

Answer:

Decimal: 13

Percent: 13%

Step-by-step explanation:

Sorry if it wrong

Answer:

156°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 15 , then

sum = 180° × 13 = 2340°

interior angle = \(\frac{sum}{n}\) = \(\frac{2340}{15}\) = 156°

Answer:

2 cups left in the ceral box!

Step-by-step explanation:

please just trust me i worked it out and got the answer and you just have to trust me please! MAY I HAVE BRAINLIEST IF ITS RIGHT? HAVE A GREAT DAY!!!

Answer:

where is the figure

Step-by-step explanation:

u should upload the figure too

Answer:

C. 130

Step-by-step explanation: Hope it helps ^w^

a. An absolute value inequality to represent the water temperature is |T - 58| ≤ 15.

b. A graph of the inequality is shown below and the solution set represent the range of water temperature that the fish can tolerate.

c.  An absolute value inequality to represent the population of fish is |P - 200| ≤ 10.

In order to write and solve an absolute value inequality that represents the water temperature, we would assign the variable T to the water temperature. Therefore, the required absolute value inequality can be written as follows;

|T - 58| ≤ 15

-15 ≤ T - 58 ≤ 15

-15 + 58  ≤ T - 58 + 58 ≤ 15 + 58

43 ≤ T ≤ 73

Part b.

In this scenario and exercise, we would plot the water temperature on the x-axis of a cartesian coordinate by using an online graphing tool as shown in the image attached below.

Additionally, the solution set (43, 0) and (73, 0) is the shaded portion of the graph and it represents the range of water temperature that this population of fish can tolerate.

Part c.

In order to write and solve an absolute value inequality that represents the population of fish, we would assign the variable P to the population of fish. Therefore, the required absolute value inequality can be written as follows;

|P - 200| ≤ 10

-10 ≤ P - 200 ≤ 10

-10 + 200  ≤ P - 200 + 200 ≤ 10 + 200

190 ≤ P ≤ 210

In conclusion, the solution set (190, 0) and (210, 0) is the shaded portion of the graph and it represents a safe environment for the population of fish.

Read more on inequality here: https://brainly.com/question/30665021

#SPJ1

Answer:

Step-by-step explanation:

x + 2y = -5

-3x - 6y = -1

3x + 6y = -15

-3x - 6y = -1

0 ≠ -16

no solution

Using the Minimization of Area,

The dimensions of rectangular box are 20 and 40.

We have given that,

Volume of rectangular box = 32,000cm³

Assume b is the side of square base and h is the height of the box.

The formula to find the volume is equal to product of area of base and height

V = b²h

=> h = V/b² --(1)

The formula for the surface area is

A = b×b + 2b×h +2b×h = b² + 4bh

using equation (1) we get,

=> A = b² + 4V/b

differentiating Area (A) with respect to b

to find the minima and putting dV/db = 0

dA/db = 2b - 4V/b²

=> 2b - 4V/b² = 0

=> b³ = 4V/2

Plunging the value of volume in above equation we get,

b³ = 4 (32000)/2

=> b = 40 and

h = 32000/ 40×40 = 20

Thus , the dimensions of the rectangular box are 40 and 20.

To learn more about Minimization of area, refer:

https://brainly.com/question/17173355

#SPJ4

An estimate for the total volume of food and water you've ingested in the last day is 3000-5000 milliliters. On average, the heart pumps about 5 liters of blood per minute. 10-20% or more error I'm expecting. Calculating heart blood volume compared to food and drink consumption is crucial for understanding circulation and liver function.

D.1 Estimating the amount of food and water consumed in a day can be difficult without specific measurements, but a rough estimate can be made based on typical intake amounts. On average, a person may consume 2-3 liters of water and 1000-2000 calories per day, resulting in an estimated total volume of 3000-5000 milliliters.

D.2 The amount of blood pumped by the heart varies from person to person and depends on factors such as heart rate and overall health. On average, the heart pumps about 5 liters of blood per minute, which is much larger than the estimated volume of food and water intake.

D.3 Estimating food and water intake and blood flow is prone to error due to variability and uncertainties in personal measurements. Individuals' habits, health, and physical activity levels can affect these estimates, potentially resulting in a significant error of 10-20% or more.

D.4 The calculation of the heart's blood volume compared to food and drink consumption is crucial for understanding the circulation system and liver role.

The liver processes nutrients, detoxifies, and produces blood components, while the heart is responsible for circulating blood throughout the body. The vast difference in volume between the two is emphasized, emphasizing the heart's crucial role in maintaining circulation.

To know more about blood refer here:

https://brainly.com/question/30828552#

#SPJ11

Answer:

12

Step-by-step explanation:

We know that 1/3 of a pizza is cheese meaning that 6 pizzas are made of cheese and there are only two leaving the rest pepperoni and 12 are left if we subtract the cheese pizzas minus the 18 pizzas we have 12 which are pepperoni.

Answer:

Go to the nether

Step-by-step explanation:

Go to the nether and make sure you have a shield and a fire resistance potion  and make sure you have a bow to shoot them while they fly also make sure you have a good sword and armor cuz the nether is dangerous

Answer:

132 chocolates

Step-by-step explanation:

We know that after Ramesh arranges his chocolates in rows, the number of rows multiplied by the number of chocolates in each row will give us the total number of chocolates, 17424.

Let the number of rows be x.

From the question, the number of chocolates in each row will also be x.

\(=> x * x = 17424\\\\x^2 = 17424\\\\=> \sqrt{x^2} = \sqrt{17424} \\\\x = 132\)

Therefore, he placed 132 chocolates in each row.

The prices of the two stocks will be the same in 3:27:30 hours, at 12:27:30 PM.

Since the price of stock A at 9am was $ 15.95, and since then, the price has been increasing at the rate of $ 0.13 each hour, and at noon the price of stock B was $ 16.45, and it begins to decrease at the rate of $ 0.11 each hour, to determine, if the two rates continue, in how many hours will the prices of the two stocks be the same, the following calculation must be performed:

Therefore, the prices of the two stocks will be the same in 3:27:30 hours, at 12:27:30 PM.

Learn more about maths in https://brainly.com/question/25808345

The simplest way to perform a division is long division and synthetic division.

What is division?

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.

There are two methods to perform division:

Long division: The mathematical procedure for splitting big numbers into more manageable groups or sections is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions.

Synthetic division: In algebra, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the approach can be applied to division by any polynomial, it is often taught for division by linear monic polynomials.

To learn more about division, click on below link:

https://brainly.com/question/11781269

#SPJ4

Answer:

c.6

Step-by-step explanation:

I would estimate 6.12 to 6 and 38.064 because I know 36 is a common denominator of 6. 36/6=6

Hope this helps.

Answer:

It will be $85,  34÷ 4

will give you 8.5 then you multiply it by 10,× 10=85

Answer:

272

Step-by-step explanation:

56:7=8 (she earns 8$ in 1 hour)

8×34=272

Okay, according with the identities of parallelograms we have: AE=CE and BE=DE.

Replacing we obtain:

AE=CE

2x=x+2

2x-x=2

x=2

BE=DE

y+10=4y−8

10+8=4y-y

18=3y

y=18/3

y=6

And considering that BD=BE+DE, we got:

BD=(y+10)+(4y-8)=(6+10)+(4*6-8)=(16)+(24-8)=16+16=32

So, finally we obtain that the length of BD is 32 units.

The given initial value problem's exact solution: y(t) = 1, and thus y(1) = 1. The Euler approximation of y(1) using a step-size h = 0.5 i: y(1) ≈ 1. Given the initial value problem:

y' = ty ' (0)

 = 0

We are to determine the exact solution y(t) and compute y(1), and also find the Euler approximation of y on the interval [0, 1] using a step-size h = 0.5 (half step size).

(a) The given initial value problem is a first-order linear differential equation, whose standard form is:

y' + P(t)y = Q(t), where P(t) = 0 and Q(t) = 0. Thus, the integrating factor is:

I(t) = e^∫ P(t)dt

      = e^∫ 0 dt

      = 1.

The exact solution y(t) is obtained by multiplying both sides of the differential equation by the integrating factor,

I(t) = 1, and integrating:

y' + P(t)y = Q(t) becomes

y' + 0y = 0, which implies

y' = 0.

Hence, y(t) = Ce^0 = C, where C is a constant determined using the initial condition y(0) = 1. Therefore, we have:

C = y(0) = 1.

Hence, the initial value problem's exact solution is y(t) = 1, and thus y(1) = 1.

(b) Euler Approximation of y using step-size h = 0.5We have h = Δt = 0.5, t0 = 0, tn = 1. The number of steps, n, is given by:

n = (tn - t0)/h

n = (1 - 0)/0.5

n = 2.

Therefore, we have two grid points:

t0 = 0, and

t1 = 0 + 0.5

  = 0.5

For the Euler approximation of y on [0, 1], we use the formula:

yi+1 = yi + h * f(ti, yi), for i = 0, 1, 2, ..., n - 1, where

f(ti, yi) = tiyi

= (0)(yi)

= 0, for i = 0, 1, 2, ..., n - 1.

Hence, we have:

y0 = y(0) = 1, and

y1 = y0 + h * f(t0, y0)

= y0 + h * 0

= 1 + 0

= 1

Therefore, the Euler approximation of y(1) using a step-size h = 0.5 is: y(1) ≈ y1 = 1. Therefore, y(1) ≈ 1. The exact solution of the given initial value problem is: y(t) = 1, and thus y(1) = 1. The Euler approximation of y(1) using a step-size h = 0.5 is: y(1) ≈ 1.

To know more about the  Euler approximation, visit:

brainly.com/question/30050848

#SPJ11

Answer:

99+1

Step-by-step explanation:

Answer:

28936

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Twenty-Six is not a multiple of three so you know it won't be 26. Counting by threes goes 3, 6, 9, 12, 15, 18, 21, 24, 27, 30. Twenty-seven is the closest number to 26 which is higher than 26. Twenty-six + 1 = 27. That means that 1 is the answer.

Answer:

1 bottles and the last day

Answer:

Well it will be 7+5=12 and 6+6=12

Step-by-step explanation:

The two factors of 12 whose sum is 7 are 4, 3.

Those numbers which can completely divide a number such that the remainder is zero are called factors of the number they divide.

The number given is

12

The factors of 12 are 1, 2, 3, 4, 6, 12.

The two factors of 12 whose sum is 7 are 4, 3

4+3 = 7

Therefore ,The two factors of 12 whose sum is 7 are 4, 3.

To know more about Factors

https://brainly.com/question/24182713

#SPJ2

Answer:

x = 25

Step-by-step explanation:

total interior angles in 360

4x - 20 + 100 = 180

4x = 100

x = 25

The total amount of stockholders' equity that will be presented in the balance sheet is $1,340,000.

To determine the total amount of stockholders' equity presented on Ladder Distributors' March 31, 2020, balance sheet, we need to account for the reacquisition of 4,000 shares of common stock.

Initially, the balance sheet showed 20,000 shares issued and outstanding at a par value of $30 per share. This translates to a common stock balance of 20,000 shares * $30 par value = $600,000.

The balance sheet also indicated a paid-in capital in excess of par value of $240,000 and retained earnings of $700,000, resulting in a total stockholders' equity of $1,540,000.

On March 1, 2020, the company reacquired 4,000 shares of its common stock for $50 per share. The cost of this reacquisition is calculated as 4,000 shares * $50 per share = $200,000.

To determine the new stockholders' equity on the March 31, 2020, balance sheet, we subtract the cost of reacquisition ($200,000) from the total stockholders' equity on December 31, 2019 ($1,540,000). This gives us $1,540,000 - $200,000 = $1,340,000.

Therefore, the total amount of stockholders' equity that will be presented on Ladder Distributors' March 31, 2020, balance sheet is $1,340,000.

To know more about equity, refer here :

https://brainly.com/question/31458166#

#SPJ11

The ordered pair (2,3) is not a solution of the system

From the question, we have the following parameters that can be used in our computation:

−8x + 4y > 3

6x - 7y < −5

The solution is given as

(2, 3)

Next, we test this value on the system

So, we have

−8(2) + 4(3) > 3

-4 > 3 --- false

This means that (2,3) is not a solution of the system

Read more about inequality at

https://brainly.com/question/32124899

#SPJ4

Step-by-step explanation:

I have done this one thing and i m confused weather i shall regret or let it be it or what ,... can anyone advice ?

The system of equations that model the situation are:

8x + 3y = 73

4x + 3y = 53

(option b)

The duration of the singing act is 5 minutes.

The duration of the dance act is 11 minutes.

The form of the simultaneous equation is:

(number of singing acts at the first show x number of minutes they perform) + (number of dance acts at the first show x number of minutes they perform) = total number of minutes equation 1

(number of singing acts at the second show x number of minutes they perform) + (number of dance acts at the second show x number of minutes they perform) = total number of minutes equation 2

8x + 3y = 73 equation 1

4x + 3y = 53 equation 2

In order to determine the duration of each act, the elimination method would be used:

Multiply equation 2 by 2

8x + 6y = 106 equation 3

Subtract equation 1 from equation 3 :

3y = 33

Divide both sides of the equation by 3

y = 33 / 3

y = 11 minutes

Substitute for y in equation 1: 8x + 3(11) = 73

8x + 33 = 73

8x = 73 - 33

8x = 40

x = 40 / 8

x = 5 minutes

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

#SPJ1

Surface area of cuboid  is = 312 ,With dedication and effort, you can succeed in your geometry test and feel confident about your understanding of the subject.

Surface area of a cuboid is = 2lw + 2lh + 2 hw

where ; l= length

w= width.

h = height

= 2(10×6)+2(10×6)+2(6×6)

=2(60)+2(60)+2(36)

=120+120+72

=312

Geometry can be challenging, but with the right mindset and approach, you can do well. To start, make sure you understand the basic concepts and definitions.

Then, practice solving problems and applying those concepts. Don't be afraid to ask questions or seek help when you need it. Utilize resources such as textbooks, online tutorials, and practice worksheets.

Also, try to relate geometry to real-life situations to make it more interesting and relevant. Remember to take breaks and stay organized to avoid feeling overwhelmed.

To learn more about : geometry test

https://brainly.com/question/30902501

#SPJ8

Answer:

\( \frac{8 {x}^{2} y}{6 {x}^{2} {y}^{2} } \\ = \frac{8×3}{6 {y}^{2} } \\ = \frac{24}{6 \times {3}^{2} } \\ = \frac{4}{9} \)

Answer:

A.) $0.89

Step-by-step explanation:

2(4x+3y=7.43)

-3(5x+2y=7.03)

8x+6y=14.86

-15x-6y=-21.09

add the two equations

-7x=-6.23

divide by -7

x=.89

Answer:$0.89

Step-by-step explanation:

Solution by substitution method

4n+3p=7.43

5n+2p=7.03

Suppose,

4n+3p=7.43→(1)

5n+2p=7.03→(2)

Taking equation (1), we have

4n+3p=7.43

⇒4n= -3p+7.43

⇒n = -3p+7.43/4

→(3)Putting n= -3p+7.43/4 in equation (2), we get

= 5n+2p=7.03

= 5(-3p+7.43/4)+2p=7.03

⇒-15p+37.15+8p=28.12

⇒-7p + 37.15=28.12

⇒-7p=28.12 - 37.15

⇒-7p=-9.03

⇒p=9.03/7

⇒p= 1.29→(4)

Now, Putting p=1.29 in equation (3), we get

n=-3p+7.43

n= -3(1.29)+7.43 / 4

⇒n= -3.87+7.43 / 4

⇒n= 3.56 / 4

⇒n=0.89

∴n= $0.89 and p=1.29