Priya followed this set of instructions to make quadrilateral ACBD,
1. Draw 2 points: A and B.
2. Draw a circle centered at A with radius AB.
3. Draw a circle centered at B with radius AB
4. Label the intersection points of the circles C and D.
5. Draw segments AC, BC, AD, and BD.
Choose a description you can be sure is accurate for the shape she constructed.
OA) 2 congruent sides, but not all 4
O B) 4 congruent angles
O C) 4 congruent sides
OD) 4 congruent sides and 4 congruent angles

Answer:

261

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

\(|3d-3n|-4\)

Once we have an absolute value, we know that

\(|3d-3n| \geq 0\)

\(\text{For }n=2 \text{ and } d=3\)

\(|3(3)-3(2)|-4\)

\(|9-6|-4\)

\(|3|-4\)

\(3-4\)

\(-1\)

Answer:

Step-by-step explanation:

1. x - 2 = 10

x = 10 + 2 = 12

2. 40 = 5x

40/5 = x

x = 8

3. x/2 = 8

Multiply by 2 on both sides

x = 16

4. x + 14 = 24

x = 24 - 14 = 10

5. x + 2 = 10

x = 10 - 2 = 8

6. x/8 = 1

Multiply by 8 on both sides

x = 8

No 2 5 and 6 is the correct answer

The width cannot be negative, the width of the walkway is 6 feet. The total area of the garden and the walkway is given as 648 square feet. We know the area of the garden is length multiplied by width, which in this case is 12 feet by 15 feet, so the garden area is\(12 \times 15 = 180\) square feet.

To find the area of the walkway, we subtract the garden area from the total area. Therefore, the area of the walkway is 648 - 180 = 468 square feet.

The walkway surrounds the garden on all sides, so its length and width will be greater than the corresponding dimensions of the garden.

To calculate the width of the walkway, we can use the formula for the area of a rectangle, which is length multiplied by width. In this case, the length is 12 + 2x (twice the width of the walkway) and the width is 15 + 2x.

So, we have the equation\((12 + 2x) \times (15 + 2x) = 468\).

Expanding and rearranging the equation, we get\(4x^2 + 54x - 228 = 0.\)

Solving this quadratic equation using factoring, completing the square, or the quadratic formula, we find that x = 6 or x = -9/2.

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Answer:

Total weight of the three fishes is 7.8125 lb

Step-by-step explanation:

To solve this type of problem we must be aware about lb to ounce conversion. we know that

1 lb = 16 ounce(oz)

So, 2lb 10oz= (2×16+10)oz = 42 oz

Similarly for, 2lb 8oz = (2×16+8)oz = 40oz

and for, 2lb and 11oz = (2×16+11)oz = 43oz

now adding all 3, we can say total weight = (42+40+43)oz = 125oz

To convert oz to lb again we will divide it with 16 so we get

Total weight in lb= \(\frac{125}{16}\) = 7.8125 lb

Therefore total weight of three fishes in ounce is 125oz or 7.8125lbs

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Answer:

x=1

Step-by-step explanation:

5x+37=-6(1-8x)

Distribute

5x+37 = -6 +48x

Subtract 5x from each side

5x+37 -5x = -6+48x-5x

37 = -6+43x

Add 6 to each side

37+6 = -6+43x+6

43 = 43x

Divide by 43

43/43 = 43x/43

1 =x

Answer:

x=1

Step-by-step explanation:

5x+37=-6(1-8×)

5x+37=-6(-7)

5x+37=6 x 7

5x+37= 42

5x+37-37=42-37

5x=5

5x/5 = 5/5

x = 1

Hope it Helps !!

Answer:

\(\sqrt{61}\) units

Step-by-step explanation:

We are given that

\(P_1=(-2,5)\)

\(P_2=(4,0)\)

We have to find the distance d (P1, P2) between the points P, and P2

We know that

Distance between  two points (x1,y1) and (x2,y2)  i

=\(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Using the formula

The distance d (P1, P2) between the points P, and P2

=\(\sqrt{(4-(-2))^2+(0-5)^2}\)

The distance d (P1, P2) between the points P, and P2

\(=\sqrt{(4+2)^2+(-5)^2}\)

The distance d (P1, P2) between the points P, and P2

=\(\sqrt{6^2+25}\)

The distance d (P1, P2) between the points P, and P2

=\(\sqrt{61}\) units

5x = 12 + 3

5x = 15

\(x = \frac{15}{5} \\ \)

x = 3

Answer:

3

Step-by-step explanation:

5x-3=12

5x=12+3

5x=15

x=15/5

x=3

a. To create an exponential model for new cases in terms of days, we can use the formula: y = a * b ^ x, where y is the number of new cases, x is the number of days since the first observation, and a and b are constants that we need to determine. Using the two data points given, we can set up a system of equations:

235 = a * b ^ 0

395 = a * b ^ 10

Solving for a and b, we get:

a = 235

b = (395/235)^(1/10) = 1.067

Therefore, the exponential model for new cases in Milwaukee is:

y = 235 * 1.067 ^ x

b. To find the number of new cases on Oct. 31, 2020, we need to plug in x = 19 (since Oct. 31 is 19 days after Oct. 12) into the model:

y = 235 * 1.067 ^ 19 = 1018.5

Therefore, based on the exponential model, we would expect around 1019 new cases on Oct. 31, 2020.

c. The actual number of new cases on Oct. 31, 2020, was 1043. This is higher than the predicted value of 1019, but not by a huge margin. Overall, the model seems to fit the data reasonably well, especially considering that there are many factors that can affect the number of new cases in a given area, and that the model is based on only two data points. However, it is worth noting that the exponential model assumes that the growth rate of new cases remains constant over time, which may not be a realistic assumption in the long run.

Answer:

The discounted price is $21

The flour and sugar coral that will be use to make the cookies is 2 1/4 cups.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this situation, Tucker is making cookies the recipe called for 1/3/4 cups of flour and 1/2cup of sugar.

The flour and sugar coral that will be use to make the cookies will be:

= 1 3/4 + 1/2

= 2 1/4

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The mean of brothers and sisters = 3

From the attached data set of brothers and sisters we can write the data values (frequency) as:

1, 5, 4, 2

We need to find the mean of brothers and sisters,

We know that the formula for the mean of data.

mean(\(\bar{x}\)) = sum of all data values / total number of data values

First we find the sum of all data values.

1 + 5 + 4 + 2 = 12

and the total number of data values = 4

Using above formula of mean,

mean(\(\bar{x}\)) = sum of all data values / total number of data values

mean(\(\bar{x}\)) = 12 / 4

mean(\(\bar{x}\)) = 3

Therefore, the required mean is: 3

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Find the complete question below.

Step-by-step explanation:

2 hrs 45 min + 3 hrs 35 min

= 5 hrs 80 min

60 min = 1 hr

*80 min = 1 hr + 20 min

5hrs 80 min

= 5 hrs + 1 hr + 20 min

= 6 hrs 20 min

Answer:

6 hour 20 minutes

Step-by-step explanation:

Add the two time measurements separately.

2 hours  +  3 hours  =  5 hours

35 minutes  +  45 minutes  =  80 minutes

Now, simplify the measurements to the lowest terms.  You can simplify the minutes by subtracting 60 from the value.  60 minutes is 1 hour.  The number you get after subtracting is how many minutes there are.

80 - 60 = 20

80 minutes  =  1 hour 20 minutes

Now add the two measurements together.

5 hours  +  1 hour 20 minutes  =  6 hour 20 minutes

Answer: 3.6 is 5% of 72

Step-by-step explanation: If 3.6 is 5% then just multiply 3.6 by 95 to get 68.4 and add to get 72, Yw.

Given data:

The given equation is C(t)=7,000+500ln(t-1).

The graph of the given equation is,

Refere to both graph wheat production increases slowly then reached to stable amount.

Thus, option (B) is correct.

Taking the distance as d, we have that:

In this equation, it is expressed that he ran half the distance which is 1/2d, he swam a quarter of the distance, which is 1/4d and the remaining is xd, which is how far did he ride the bike (14 miles). Solve the equation for x:

It means that he ride the bike a quarter of the distance. We know that he ride the bike 14 miles, which means that 14 miles is a quarter of the distance, using this information we can find the total distance of the race:

Answer:

more context please :)

Step-by-step explanation:

Answer:

more context please

Step-by-step explanation:

The solution to the inequality expression 3x + 4 > 16 is x > 4

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

3x + 4 > 16

Subtract 4 from both sides of the expression

So, we have the following representation

3x > 12

Divide by 3

x > 4

Hence, the solution is x > 4

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Answer:

answer is 3 1/2

Step-by-step explanation:

Answer:

18/5 yard or 3 3/5 yard

Step-by-step explanation:

Length of fabric needed for 1 costume = 3/5 yard

Length of fabric needed for 6 costumes = (3/5)*6

= 18/5 yard

= 3 3/5 yard

The amount of money that each person would get for the three days of work is $92.

The first step is to add all the money earned on the three days together. Addition is the process of determining the sum of two or more values.

Total amount earned in the 3 days = amount earned on the first day + amount earned on the second day + amount earned on the third day

= $93 + $75 +$108  =$276

The next step is to divide the total amount of money earned in the three days by the total number of people that would share the money. Division is the process of determining the quotient of a number.

The amount of money gotten by each person = total earnings / total number of people

$276 / 3 = $92

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Now we know PR∥QX , according to construction with transversal line TX.

∠PTS=∠QXS (Alternate angle)

In △PTS and △QSX

∠PTS=∠QXS (Alternate angle)

∠PST=∠QSX(vertically opposite angles)

PS=SQ(S is mid point of PQ)

△PTS≅△QSX(AAS rule)

So, TP=QX(CPCT)

As we know, TP=TR (T is midpoint)

Hence, TR=QX

Now, in quadrilateral TSQR

TS∥QR

Hence proved.

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The solution is, 0.75 can be written as fraction = 3/4.

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

here, we have,

A terminating decimal, such as 0.75, has an exact number of nonzero digits.

so, it can be written as fraction

0.75

=75/100

=3/4

Hence, The solution is, 0.75 can be written as fraction = 3/4.

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Answer:

F

Step-by-step explanation:

Answer:

the coifficent is 4/3

Step-by-step explanation:

hope this helps :)

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

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Answer:

8 feet

Step-by-step explanation:

Ladder = hypotenuse

bottom of ladder to tree = leg

x, 6, 10

Clear 3-4-5 triangle so,

x=8

Answer:

The length of segment QA when Q(-7,10) and A(3,4) is √136 or 11.66 units

Step-by-step explanation:

Given points are:

Q(-7,10) and A(3,4)

Here

\((x_1,y_1) = (-7,10)\\(x_2,y_2) =(3,4)\)

The distance between two points is the length of the segment formed by those two points. The distance between 2 points is given by:

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

Putting the values

\(d = \sqrt{(3-(-7))^2+(4-10)^2}\\d = \sqrt{(3+7)^2+(-6)^2}\\d = \sqrt{(10)^2+(-6)^2}\\d = \sqrt{100+36}\\d = \sqrt{136}\\d= 11.66\ units\)

Hence,

The length of segment QA when Q(-7,10) and A(3,4) is √136 or 11.66 units