By which rule are these triangles congruent?

A) AAS

B) ASA

C) SAS

D) SSS

Answer:

$1150 amount of the meals that Sarah served.

Step-by-step explanation:

As given

Sarah works as a waiter.

She earns 15% in tips on meals served.

This weekend, Sarah earned $172.50 in all.

Let us assume that the x dollar amount of the meals that Sarah served .

15% is written in the decimal form.

[tex]= \frac{15}{100}[/tex]

= 0.15

Than the equation becomes

x × 0.15 = 172.50

Solving the above equation

[tex]x = \frac{172.50}{0.15}[/tex]

x = $1150

Therefore $1150  amount of the meals that Sarah served.

Answer:  Yes, there is something missing.

Step-by-step explanation:  Given that Charlie gathers apples pears and plums. The number of apples and plums are 10 partners, there are the same number of apples and pears.

Since there are 10 partners of apples and plums, so

number of apples = number of plums = 10.

Also, number of apples and number of pears are same, therefore, number of pears = 10.

Thus, total number of fruits = 10+10+10 = 30.

Hence, Charlie couls gather 30 fruits.

So, this was missing in the calculation.

Charlie can be made to gather more fruit by maximizing the number of

apples gathered which gives a total of 19 fruits.

Response:

The question is a word problem

Number partners of 10 are numbers that add up to 10

Therefore;

The number of apples + The number of plums = 10

The number of apples = The number pears

Required:

The number of pieces of fruit Charlie could gather

Solution:

Let x represent the number of apples, gathered, we have the following equations;

The number of plums = 10 - x

The number of pears = x

Which gives;

Total number of fruit = x + 10 - x + x = 10 + x

Where;

1 ≤ x ≤ 9

The maximum number of fruit Charlie can gather is therefore, when x = 9,  which gives;

Learn more about writing equations here;

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Answer:

1.44

Step-by-step explanation:

Answer: (D) ∠2 is supplementary to ∠8

Step-by-step explanation:

∠2 is congruent to:

Therefore, it is supplementary to the remaining angles:

The only multiple choice option that satisfies the above statements is the last one

Final answer:

To find the total amount of juice in all the glasses, add the amounts poured by Maria and Collin. Maria pours 1 ¼ cups of juice and Collin pours 1 ½ cups of juice, so the total amount is 2 ¾ cups.

Explanation:

To find the total amount of juice in all the glasses, we need to add the amounts poured by Maria and Collin. Maria pours 5 glasses of juice, each measuring ¼ of a cup. So Maria pours a total of 5 x ¼ = 1 ¼ cups of juice. Collin pours 6 glasses, also with ¼ of a cup of juice each. So Collin pours a total of 6 x ¼ = 1 ½ cups of juice. To find the total amount of juice in all the glasses, we add 1 ¼ cups and 1 ½ cups, which gives us a total of 2 ¾ cups of juice.

Answer:

B. 34

Step-by-step explanation:

To find the distance between two point we use the formula

d = sqrt( (x2-x1)^2 + (y2-y1)^2)

d = sqrt((12--4)^2 + (11--19)^2)

d = sqrt((12+4)^2 + (11+19)^2)

d = sqrt((16)^2 + (30)^2)

d =sqrt(256+900)

d = sqrt(1156)

d =34

Answer:

The correct answer is 34.

Step-by-step explanation:

d(A,B)d(A,B)d(A,B)=(11−(−19))2+(12−(−4))2−−−−−−−−−−−−−−−−−−−−−−−√=900+256−−−−−−−−√=34

Answer:

Step-by-step explanation:

Since it's independent you use the formula:

P(A) x P(B) = P(A+B)

(4/5) x P(B) = (1/2)

Make common denominator

(8/10) x P(B) = (5/10)

P(B) = 5/8

If the events are independent, then the value of P(B) will be 5/8.

The chances of an event occurring are defined by probability. Probability has several uses in games, and in business to create probability-based forecasts.

For independent events;

P(A) x P(B) = P(A+B)

(4/5) x P(B) = (1/2)

P(B) =(1/2)×(5/4)

P(B) = 5/8

Hence the value of P(B) will be 5/8.

To learn more about probability, refer to the link;

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Answer: C

Step-by-step explanation:

g(x) has the following transformations:

1. horizontal shift to the right 3 units -->  2ˣ⁻³

2. vertical shift up 2 units  --> 2ˣ⁻³ + 2

Answer: A forest covers 41,000 acres. A survey finds that 0.4?% of the forest is? old-growth trees. How many acres of? old-growth trees are? there?

Alrighty, let me help you out, make things easier! The ANSWER is going to be 24,600, by this process, just take 41,000 and multiply that by 0.4. that gives you 16400, and since you are trying to find a portion of the forest, you subtract 16400 from 41,000 total acres. Hope that helps!

Answer:

12 slats can be made from a board i,e  42 feet long

Step-by-step explanation:

As per the given statement: A fence builder uses boards [tex]3\frac{1}{2}[/tex] feet long for the vertical slats on the fence.

We have to calculate how many slats can be made from a board that is 42 feet long.

Builder uses board [tex]3\frac{1}{2} = \frac{7}{2}[/tex] feet long for the vertical slats.

then;

for 42 feet long = [tex]\frac{42}{\frac{7}{2} } = 42 \times \frac{2}{7} = 6 \times 2 = 12[/tex] slats can be made.

Therefore, 12 slats can be made from a board that is 42 feet long.

Answer:

The correct answer option is 36.

Step-by-step explanation:

We know that,

the sum of the first n terms of an Arithmetic Sequence is given by:

[tex]S_n=\frac{n(a_1+a_n)}{2}[/tex]

where [tex]n[/tex] is the number of terms,

[tex]a_1[/tex] is the first term of the sequence; and

[tex]a_ n[/tex]is the first term of the sequence.

So for [tex]a_n=(19-4n)[/tex],

[tex]a_1=19-4(1)=15\\\\a_4=19-4(4)=3[/tex]

Putting these values in the formula to get:

[tex]S_4=\frac{4(15+3)}{2}[/tex]

[tex]S_4=\frac{72}{2} \\\\S_4=36[/tex]

Therefore, the 4th term of the given sequence is 36.

Answer:

C is the correct one so 36 :)

Answer:

[tex](y-135)=45(x-3)[/tex]  

Step-by-step explanation:  

Let x represents the number of hours and y represents the number of miles.

We are told that Luz drives at an average speed of 45 miles per hour. She has driven for 3 hours and has traveled a distance of 135 miles.  

We can see from our given information that slope of line is 45 as with each increase in number of hours (x), change in distance (y) is 45.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{135-0}{3-0}[/tex]

[tex]m=\frac{135}{3}[/tex]

[tex]m=45[/tex]

Since the equation of line in point-slope form is : [tex](y-y_1)=m(x-x_1)[/tex], where m represents slope of line and [tex](y_1,x_1)[/tex] represents a point the line passes through.

Upon substituting our given values in point-slope form of equation we will get,

[tex](y-135)=45(x-3)[/tex]  

Therefore, the equation represented in point-slope form will be: [tex](y-135)=45(x-3)[/tex].

Answer:

The slope of the linear equation is  45.

A point on the graph of a linear equation will be (3, 135).

This linear equation can be written as (y-135)=45(x-3).

Answer:

Measure of one of the central angles in the regular pentagon is 72 degree.

Step-by-step explanation:

A Central angle states that the angle made at the center of the polygon by any two adjacent vertices of the polygon.

If you draw a line from any two adjacent vertices to the center, then they would make the central angle.

Since, it is given that the polygon we use here is regular pentagon.

⇒ All the central angles are equal.

The formula to find the central angle is:

Central Angle = [tex]\frac{360^{\circ}}{n}[/tex] where n is the number of sides.

Since, the measure of the central angle thus depends only on the number of sides.

Here, side(n) = 5 (Polygon is regular pentagon)

then;

Central angle = [tex]\frac{360^{\circ}}{5} =72^{\circ}[/tex]

Therefore, the measure of one of the central angle in the regular pentagon is, [tex]72^{\circ}[/tex]

Answer:

72 and 54 are your answers

Step-by-step explanation:

Answer:

B) $6.00

Step-by-step explanation:

well divide 3.60 and you get 1.20

and the same for 4.80 divided by 4

so it be 1.20 times 5= he pays

To find out how much Cedric would pay for 5 songs, we divide the total cost by the number of songs and then multiply it by 5. Cedric would pay $6.00 for 5 songs.

To find out how much Cedric would pay for 5 songs, we first need to determine the cost per song. From the given information, we can see that the cost of 3 songs is $3.60 and the cost of 4 songs is $4.80. To find the cost per song, we can divide the total cost by the number of songs.

Since the cost per song is the same for both sets of songs, we can conclude that Cedric would pay $1.20 for each song. Therefore, for 5 songs, he would pay 5 x $1.20 = $6.00.

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Answer:

A) 1.2 seconds

Step-by-step explanation:

According to the formula, distance is equal to speed multiplied by time. So 17 times 1.2 = 20.4, assuming they are rounding down that equals 20. Hope this helps :)

Answer:

508*82 is 41656

Step-by-step explanation:

Answer:

4 weeks

Step-by-step explanation:

Final answer:

After 5 weeks, you and your friend will have the same amount.

Explanation:

To find out after how many weeks you and your friend will have the same amount, we need to set up an equation and solve for the number of weeks. Let's assume the number of weeks is represented by 'w'.

Your balance in the bank after 'w' weeks can be represented by the expression: 48.50 + 9.50w. Your friend's balance after 'w' weeks can be represented by the expression: 1 + 2(9.50w). We want to find out when these two balances are equal, so we set up the equation: 48.50 + 9.50w = 1 + 19w.

Solving this equation, we get:

48.50 + 9.50w = 1 + 19w

48.50 - 1 = 19w - 9.50w

47.50 = 9.50w

w = 47.50/9.50

w = 5

After 5 weeks, you and your friend will have the same amount.

Answer:

A.

Billions have three groups of zeros

Ex. 1,000,000,000

Answer:

7.81

Step-by-step explanation:

= √(5^2 + 6^2)

= √(25 + 36)

= √61

= 7.81

Answer:

7.81

Step-by-step explanation:

we have the points: (-2, -2) and (3, 4)

where i will call [tex]x_{1}=-2, y_{1}=-2,x_{2}=3,y_{2}=4[/tex]

We can find the distance using the Pythagorean theorem, considering that the distance in x between the points is: [tex]d_{x}=[/tex] [tex]x_{2}-x_{1}=3-(-2)=3+2=5[/tex]

and the distance in y  between the points is: [tex]d_{y}=[/tex][tex]y_{2}-y_{1}=4-(-2)=4+2=6[/tex]

and using the Pythagorean theorem

[tex]d=\sqrt{d_{x}^2 +d_{y}^2}[/tex]

[tex]d=\sqrt{5^2+6^2}=\sqrt{25+36}=\sqrt{61} =7.81[/tex]

the distance between the two points ia 7.81

Factor each number into its prime factors

4 = 2*2

42 = 2*3*7

14 = 2*7

The value "2" shows up exactly one time for each list of factorizations. No other number (not 3, nor 7) shows up for all three factorizations.

Answer: 2

Answer:

see explanation

Step-by-step explanation:

(8)

the common ratio r,  of a geometric sequence is

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{a_{3} }{a_{2} }[/tex] = ......

r = [tex]\frac{\frac{1}{32} }{\frac{1}{256} }[/tex] = [tex]\frac{\frac{1}{4} }{\frac{1}{32} }[/tex] = 8

(9)

The simplest way to evaluate the sum is to substitute k = 3, 4, 5, 6 into each term and sum them

(- 9 + 20) + (- 12 + 20) + (- 15 + 20) + (- 18 + 20)

= 11 + 8 + 5 + 2 = 26

Answer:

780 drinks

Step-by-step explanation:

round 776 to nearest more and it is 780 drinks

Answer:

The answer is 780, you round the number to the nearest 10th  if it was 774 drinks answer would be 770

Step-by-step explanation:

Answer:

What the othe rguy said, also give him brainliest

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

You're supposed to follow directions. That means you examine the figure to see if it contains information that will justify the offered statement. You are not to make any assumptions based on appearances.

1. AE║BC — false. There is nothing in the diagram that shows AE to be perpendicular to AB, and there are no markings indicating AE║BC.

2. AB⊥BC — true. The right-angle mark where the segments meet at point B indicates these segments are perpendicular.

3. m∠ECB=90° — false. There is nothing in the diagram that shows EC to be perpendicular to BC, and there are no markings indicating EC║AB.

4. ∠BEC is supplementary to ∠ECB — false. These are two of three interior angles of ΔBCE. There is nothing to indicate that the third angle, ∠CBE, has a measure of 0°.

5. C is the midpoint of BD — false. BC is not marked as being congruent to CD.

6. ∠BCE and ∠ECD are a linear pair — true. Point C is on line BD, so segment EC divides ∠BCD into a linear pair.

7. ∠ABE is complementary to ∠EBC — true. Together these angles form right angle ABC, so they are complementary.

Answer:

[tex]a_{7}[/tex] = [tex]\frac{729}{4096}[/tex]

Step-by-step explanation:

To obtain the next term in the sequence multiply the previous term by - [tex]\frac{3}{4}[/tex]

given [tex]a_{3}[/tex] = [tex]\frac{9}{16}[/tex], then

[tex]a_{4}[/tex] = - [tex]\frac{3}{4}[/tex] × [tex]\frac{9}{16}[/tex] = - [tex]\frac{27}{64}[/tex]

[tex]a_{5}[/tex] = - [tex]\frac{3}{4}[/tex] × - [tex]\frac{27}{64}[/tex] = [tex]\frac{81}{256}[/tex]

[tex]a_{6}[/tex] = - [tex]\frac{3}{4}[/tex] × [tex]\frac{81}{256}[/tex] = - [tex]\frac{243}{1024}[/tex]

[tex]a_{7}[/tex] = - [tex]\frac{3}{4}[/tex] × - [tex]\frac{243}{1024}[/tex] = [tex]\frac{729}{4096}[/tex]

Answer:

D

Step-by-step explanation:

E2020

Final answer:

After 6 rounds of the chess tournament starting with 1024 players, 16 players will remain. In the story of the king and chessboard with exponential doubling of rice, the total would be [tex]2^{64[/tex] - 1 grains.

Explanation:

To determine how many players will remain after 6 rounds in a chess tournament that starts with 1024 players, we recognize this as a process of successive halving. If each round eliminates half the players, then after each round, the number of players will be:

Therefore, 16 players will remain after 6 rounds in the tournament. Referring to the classic story of the king and the chessboard, when grains of rice are doubled on each square, the final total is one less than [tex]2^{64[/tex] grains. Without adding it all up, we can say this final number is [tex]2^{64[/tex] - 1 grains of rice.

Answer:

The value of expression 2x + 6 at x = 4 is 14 .

Option (C) is correct .

Step-by-step explanation:

As given the expression in the question be as follow .

= 2x + 6

Put x = 4 in the above equation

= 2 × 4 + 6

Simplify the above

= 8 + 6

= 14

Therefore the value of expression 2x + 6 at x = 4 is 14 .

Option (C) is correct .

Answer:

c) 14

Step-by-step explanation:

The given value is,

→ x = 4

Now the value of expression is,

→ 2x + 6

→ (2 × 4) + 6

→ 8 + 6 = 14

Hence, option (c) is correct.