Given: segment BD bisects angle ABC and segment BD bisects angle ADC. Prove: segment AD is congruent to segment CD

[tex]y= - \frac{1}{3} z +2[/tex] is slope intercept form of given equation.

Given liner equation :

[tex]\frac{1}{3} z + y = 2[/tex]

[tex]y = 2 - \frac{1}{3} z[/tex]

[tex]y= - \frac{1}{3} z +2[/tex]

To learn more about slope intercept form refer,

https://brainly.com/question/1884491

#SPJ1

Consequently, it would take roughly 690,64 years for the disintegrations to disappear.

Disintegration occurs when a whole entity breaks up into smaller pieces or simply vanishes. Disintegration is the breakdown, fragmentation, or spontaneous disintegration of something. Knowing that integration brings things or people together will help you to understand that disintegration refers to things breaking apart.

Here,

The formula for this is Activity = decay constant x atoms.

1238 = 2.64 x 1010 times the decay constant

decay constant is equal to 4.76 x 10-8 min-1.

Currently, the disintegrations are being slowed to 809 disintegrations per minute.

Ln(809) = Ln(2.64 x 1010) - Ln(4.76 x 10-8 x t)

t=3.63x108min = 690.64y

Consequently, it would take roughly 690,64 years for the disintegrations to disappear.

To know more about disintegrations ,visit

https://brainly.com/question/7140420

#SPJ4

[tex]m = \frac{200000.1/3}{1-(2/3)^{-240} }[/tex] is the monthly payment

What is Compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

According to given question:

Principle Amount (P) = $200, 000

Rate(r) = 4% yearly

Rate(r) = 4/12 % Monthly

Rate(r) = 1/3 % Monthly

Time = 20 years = 240 months

⇒ 240 is the number of payment needed to pay

n = 240

Therefore, the monthly payment needed to pay

⇒         [tex]m = \frac{P.r}{1-(1-r)^{-n} }[/tex]

  ⇒     [tex]m = \frac{200000.1/3}{1-(1-1/3)^{-240} }[/tex]

   ⇒    [tex]m = \frac{200000.1/3}{1-(2/3)^{-240} }[/tex]

To learn more about Compound interest , check out

https://brainly.com/question/14295570

#SPJ1

The equivalent expression will be;

⇒ 34p + 6q

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 7p + 3 (2q + 9p)

Now,

Since, The expression is,

⇒ 7p + 3 (2q + 9p)

Hence, Solve for equivalent expression as;

⇒ 7p + 3 (2q + 9p)

⇒ 7p + 6q + 27p

⇒ 34p + 6q

Thus, The equivalent expression is find as,

⇒ 34p + 6q

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Two more times company B charge per snack than company A

A ratio in mathematics displays the multiplicative relationship between two numbers. In a bowl of fruit, for instance, the proportion of oranges to lemons is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3). In a similar vein, the proportion of oranges to the overall amount of fruit is 8:14, and that of lemons to oranges is 6:8 (or 3:4). (or 4:7).

A ratio can have any number of numbers as its components, including counts of people or things, weights, lengths, and times, among other values.

From the two tables,

0.5/0.25=2

1/0.5=2

1.5/0.75=2

2/1=2

Therefore, 2 more times company B charge per snack than company A

To know more about ratio, visit:

https://brainly.com/question/13419413

#SPJ1

The option C is correct

What is the mathematical ratio?

Definitions: When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage. For instance, you could express the ratio as 1: 3 if there is 1 guy and 3 girls 

Given that:

Everglades Elementary school Purchases 125 fourth grade math's textbooks and 191 fifth grade math's textbooks

Total textbooks = 125 + 191 = 316 books

A box can contain maximum = 28 books

so the ratio of books and box will be = 316/28 = 11 box and 8/28

So total box will be 11 completely filled and the last one will be filled by 8/28

Learn more about ratio

https://brainly.com/question/12024093

#SPJ1

Step-by-step explanation:

cost of business card - $.75 ( per card )

I want to print 50

So we will multiply 75 × 50

75

×50

00

355×

=375

$.375 will be the cost of the same

41% of the math team's total members are brand-new recruits.

It is the ratio of two integers expressed as a decimal fraction of a whole number. It is a statistic for contrasting two sets of data, and the % sign is used to describe it as a percentage.

Percentages are often and creatively used. For instance, a lot of data is published as percentages in the media, including bank interest rates, retail discounts, and inflation rates. Percentages are essential for grasping the financial aspects of daily living.

The percentage of the entire membership that the number of new members represents is determined to be

=(14/34)×100

=41 %

0.41 x 100 = 41%

This means that 41% of the club is new members!

Thus, the number of new members is 41% of the total membership of the maths team.

Learn more about the percentage here:

brainly.com/question/26352729

#SPJ1

Increases in tolerable misstatement will decrease sample size and assessed level of control risk will Increase sample size in a substantive test of details.

Sample size will be decreased when there is an increase in tolerant misstatement because there is a deviation that does not impact the financial statement. An increase in the assessed level of control risk, on the other hand, will increase sample size because the risk of material misstatements has also increased.

Complete question:-

How would increases in tolerable misstatement and assessed level of control risk affect the sample size in a substantive test of details?

a. Increase in Tolerable Misstatement = Decrease sample size. Increase in Assessed Level of Control Risk = Decrease sample size

b. Increase in Tolerable Misstatement = Decrease sample size. Increase in Assessed Level of Control Risk = Increase sample size

c. Increase in Tolerable Misstatement = Increase sample size. Increase in Assessed Level of Control Risk = Decrease sample size

d. Increase in Tolerable Misstatement = Increase sample size. Increase in Assessed Level of Control Risk = Increase sample size

To know more about sample size visit: brainly.com/question/25894237

#SPJ4

Answer: 32 females

Step-by-step explanation:

28 divided by 7 = 4

so, multiply 8 by 4 as well.

Answer: 32 females are at the movie

Step-by-step explanation:

8(females):7(males)

x:28

28/7= 4

x=4x8

x=32

There are 32 females

The ordered pair is located at the x-y coordinate at (- 10, 0).

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

Pair in Order = (x, y)

x is the abscissa, the distance measure of a point from the primary axis x

y is the ordinate, the distance measure of a point from the secondary axis y

Given, A point is located on the x-axis which is y = 0, and 10 units to the left of the y-axis which is x = - 10.

So, The location of the ordered pair (x, y) is (- 10, 0).

learn more about ordered pairs here :

https://brainly.com/question/28874341

#SPJ1

Answer:

on the value of the root may produce a value of the polynomial at the approximate root that is of the order of. For avoiding these problems, methods have been elaborated, which compute all roots simultaneously, to any desired accuracy. Presently the most efficient method is Aberth method.

The two sentences meant to persuade are the following:

"This is something no other computer can do at present.

"This is the best buy on the market".

It should be noted that persuasion is used to make someone agree to a particular point. From the information, at the latest launch by the computer manufacturer Mintel Corporation, they demonstrated the latest smart technology in their new computer.

The computer has voice recognition software that can adapt the user's experience to his or her preferences. This is something no other computer can do at present.

Learn more about persuasion on:

https://brainly.com/question/3764126

#SPJ1

The theorem that proves <DAE=<BAC is Pythagoras theorem.

To learn more about Pythagoras theorem refer to:

https://brainly.com/question/343682

#SPJ1

Answer:

the lenth of the court is 78 feet

The first graph shows how many of each order could fit into a bag that was hanging from a hook. First, a detailed explanation: * Let's discuss the issue's solution.

The quantity of orders of paperclips is x, and the weight of the order of jumbo paperclips is 2 pounds. The order of paperclips weighs 2 x = 2 x, the order of packing tape weighs 3 lbs., and the quantity of orders of packing tape is y. The weight of the tape order is 3 y = 3 y, the weight of the entire order is 2 x + 3 y, and the hook can only support a maximum weight of 6 y. 2x + 3y ≤ 6

The graph that depicts this inequality, Any line's equation is y = mx + c, where m represents its slope.

The y-intercept indicates to replace x in the equation by 0; the x-intercept indicates to replace y in the equation by 0; 2x - 3y 6 is the inequality. 2x + 3y = 6 is the equation for the line.

- Subtract 2x from both sides: 3y = 6 - 2x; - Divide both sides by 3: y = 6/3 - 2/3 x; - Locate the y-intercept: x = 0; y = 2;

The line crosses the y-axis at position (0 , 2)

– Locate the x-intercept.

∵ y = 0

∴ 0 = 2 - 2/3 x

- Adjust both sides by 2/3x.

∴ 2/3 x = 2

Increase both sides by 3.

Divide all sides by 2 to get the answer.

∴ x = 3

The line crosses the x-axis at position (3 , 0)

First and second from the figure.

To learn more about Graph refer to:

https://brainly.com/question/19040584

#SPJ1

The second price means how much the chips cost per gram. That's what the "/g" part means. Divided by gram. So, the second price of 1000 grams of Nameless chips gets you more chip per cent, because the bag charges $0.002 per gram instead of $0.003 per gram as the other does.

Answer:

25

Step-by-step explanation:

make 1/5 and 3/10 with equivalent denominator which will give us 2/10 and 3/10 now add them and we get 5/10 5 is the half of ten so we will divide 50 over 2 and we will get 25

The equation of a parabola is y²+12x=0.

A parabola is a U-shaped plane curve in which any point is an equal distance from both a fixed point (known as the focus) and a fixed straight line (known as the directrix).

Parabola functions are classified into three types: standard form, vertex form, and intercept form (also known as factored).

as per the given question:

We have a vertex at (0,0) and the directrix is x = 3, a line parallel to the y-axis, it must have a focus at (3,0).

The parabola equation represents the locus of a point (x, y) that moves so that its distance from x=3 and (3,0) is equal. As a result, the parabola equation is, An equation of the parabola represents the locus of a point (x, y), which moves so that its distance from x=3 and (−3,0) are equal. Hence, the equation of a parabola is

(x−(−3))² + (y−0)² = (x−3)²

or (x+3)² + y² = (x−3)²

or x² + 6x + 9 + y² = x² − 6x + 9

or y² + 12x =0

Hence, The equation of a parabola is y²+12x=0.

To know more about the equation of parabola visit:

https://brainly.com/question/11911877

#SPJ1

Answer:

The value of x is (y + 3)/2

Step-by-step explanation:

y = 2x - 3

y + 3 = 2x - 3 + 3

y + 3 = 2x

2x/2 = (y + 3)/2

x = (y + 3)/2

Thus, The value of x is (y + 3)/2

Answer:

x = (y + 3)/2

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ y = 2x - 3

Then the value of x will be,

→ y = 2x - 3

→ 2x - 3 = y

→ 2x = y + 3

→ x = (y + 3)/2

→ x = (y/2) + (3/2)

Hence, answer is x = (y + 3)/2.

Maximum = 28, Minimum = 1, Lower Quartile = 3, Median = 5, and Upper Quartile = 16

The minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum make up the five-number summary. The median is the middle value; Q1 is the median of the first half of the data, and Q3 is the median of the second half. The lowest is the smallest number, the maximum is the highest, the median is the intermediate value.

The 5 digit summary definition

minimal is a smaller number.

lower quartile: First-half median of the data.

median

upper quartile :Median of the second half of data

greatest number is maximum

The numbers are 1 1 1 1 3 3 3 4 4 4 5 5 5 5 6 6 6 13 13 16 16 16 21 22 24 28 28

minimum = smallest number = 1

lower quartile = Median of the first half of data = 1 1 1 1 3 3 3 4 4 4 5 5 5 = 3

median = median( middle value) = 5

upper quartile = Median of the second half of data = 6 6 6 13 13 16 16 16 21 22 24 28 28 = 16

maximum = largest number = 28

To know more about 5 number summary click the link:

brainly.com/question/29107036

#SPJ1

Answer:

290

Step-by-step explanation:

210 x 2 = 420

420 - 130 = 290

The probability that the students will have a pop quiz on a randomly selected day will be A. 0.25.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1. In this case, 0 denotes the impossibility of the event and 1 represents certainty.

From the information, the probability that students will not have a quiz is 75%. The probability that the students will have a pop quiz on a randomly selected day will be:

= 1 - 75%

= 0.25

Learn more about probability on

brainly.com/question/24756209

#SPJ1

Complete question

The probability that students will not have a quiz is 75%. What is the probability that the students will have a pop quiz on a randomly selected day? a. 0.25 b. 0.52 c. 0.77 d. 0.90

The linear equation that is parallel to 8x - 10y = -2 and contains (1, -2) is:

4x - 5y = 14

So the last option is the correct one.

Remember that two linear equations are parallel only if both lines have the same slope (or coefficients if it is written in standard form) and different y-intercept.

Here our line is:

8x - 10y = -2

If we divide all the equation by 2, we will get:

(8x - 10y)/2 = -2/2

4x - 5y = -1

So any equation of the form:

4x - 5y = c, where c ≠ -1

Is parallel to 8x - 10y = -2

Now we want our line to pass through (1, -2), replacing these values in our line we get:

4x - 5y = c

4*1 -  5*-2 = c

4 + 10 = c

14 = c

Then the linear equation is:

4x - 5y = 14

So the correct option is the last one.

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

The time at which the object is 6 inches above the rest position will be 4.62 seconds.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

An item is connected to a spring that is extended and delivered. The condition d= - 8cos [(π/6) t] the distance, d, of the item creeps above or underneath the rest position as an element of time, t, in a flash.

d= - 8cos [(π/6) t]

If d = 6, then the value of the variable 't' is calculated as,

6 = - 8cos [(π/6) t]

- 3/4 = cos [(π/6) t]

cos [(77/100)π] = cos [(π/6) t]

Compare the angle, then we have

(π/6) t = (77/100)π

t / 6 = 77 / 100

t = 4.62 seconds

The time at which the item is 6 crawls over the rest position will be 4.62 seconds.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

Answer:

288 m^2

Step-by-step explanation:

each side of the room is  8 m       ( 8x8 = 64)

So you have FOUR walls of widht 8 and height 9

   area =   FOUR * ( 9 *8) = 288 m^2

The system of equations with the same solution set as the system of equations given is presented as follows:

The system of equations for this problem is presented as follows:

Another system of equations will have the same solution set as the system given when it's equations are multiples of the equations in this problem.

This holds true for the first option, as:

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1