Jason bought 7 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 30 cards left. How many cards did he start with?

Answer:

∆ adc is congruent to ∆ abc by asa congruence rule where CA is common side,

so CD and CB are congruent therefore angle cbe is same as angle cde

so ∆ bce and ∆ dce are congruent by ASA congruence rule

The triangle BCE is congruent to triangle DCE if ∠1 is congruent to ∠2 and ∠3 is congruent to ∠4.

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

For the figures to be congruent they must be the same size and shape or one could mirror the other since they mirror each other and are the same size and shape they are congruent.

In triangle ∆ ADC and ∆ ABC

∠2 = ∠1

∠4 = ∠3

Thus, ∆ ADC ≅ ∆ ABC

∆ ADC is congruent to ∆ ABC by ASA congruence rule where CA is common side.

Also, CD and CB are congruent therefore angle CBE is same as angle CDE.

Similarly, ∆ BCE and ∆ DCE are congruent by ASA congruence rule.

The triangle BCE is congruent to triangle DCE if ∠1 is congruent to ∠2 and ∠3 is congruent to ∠4.

Learn more about congruent triangles;

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Answer:

(6,9) and (7,9) - assuming the graph only has a single quadrant and the rectangle is vertical

Step-by-step explanation:

We know that the distance between (6,1) and (7,1) is one unit. Because a rectangle has 2 pairs of equal sides, we know that the distance between the 2 missing coordinates is equal to one. We then add these two units. Because the rectangle has a parameter of 18 units, we then have to subtract these 2 units from the total, leaving us with 16 units for both sides. We then divide 16 by 2 because there are 2 sides, leaving us with 8 units for each side. Assuming we are working with a coordinate graph (with only one quadrant instead of 4 on a coordinate plane), and assuming the rectangle is vertical, the missing coordinates should be 8 units above the coordinates you were given. Hope this helps! :)

Answer:

The distance the water is traveling and the time it took.

Step-by-step explanation:

The speed formula is s= d/t so I would guess that is what the question means.

(Sorry if I didn't take a lot of time to answer, it had caps so I would guess that you needed the answer fast. )

Answer:

Step-by-step explanation:

If you have to have online people help you just give up on that answer and guess

Answer:

3

Step-by-step explanation:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

(23, 7, 2)

(19, 11, 2)

(17, 13, 2)

Answer:

yo mama (first one ) .bsnisjehdvxbnxjx

Answer: 144 boxes.

Step-by-step explanation: 15 is 1/4 of an hour. That means you need an hour to make 48 boxes. Then, multiply that by 3.

Answer:

144

Step-by-step explanation:

3 hours is 180 minutes

180/15 = 12

12*12= 144

so she will sell 144 boxes of cookies

Answer:

need points

Step-by-step explanation:

blah blah blah blah blah hope u pass

Answer:

d. 59.1 billion

Step-by-step explanation:

i noticed a pattern that each year is increasing by 12.9 billion i added 12.9 to 46.2 and got the answer

its soo easy wth

Answer:

Either increase the number of acres that can be used for strawberry fields (by buying more land)..If we use the same numbers from earlier, then the farmer should use approximately 16.65 acres of land (or just 17 acres of land)

So if the farmer has 17 acres of land or more, then he will make more than $70,000 per year

Step-by-step explanation:

Use the proportions from earlier

We have the point (5, 21000)

70,000/21,000 = 3.3

To find the x-value multiply 3.3 by 5

3.3 * 5 = 16.65

We can even use the other point's values to find the exact same answer

Point (3.5, 14700)

70,000/14,700= 4.7619047619

4.7619047619 * 3.5 = 16.66 (literally about the same)

Answer:

Costo  unitario= $3

Step-by-step explanation:

Dada la siguiente información:

Entrada= $4.5

Cantidad de entradas de más= 2

Cantidad de amigos que pagan= 3

Primero debemos calcular el total a pagas de más:

Total a pagar de más= 2*4.5= $9

Ahora, cuánto debe pagar cada uno:

Costo unitario= costo total / cantidad de personas

Costo unitario= 9/3

Costo  unitario= $3

Answer:

45+60

Step-by-step explanation:

(60+40)+(60+5)=165

45 + 60

= (5 × 9) + (5 × 12)

= 5 × (9 + 12)

Question:

The grocery store has 20% off from the original price on cereal. The equation for finding the sale price would be y = x - (.20x). What is the sale price if the cereal cost $4.00?

Answer:

The sales price is $3.20

Step-by-step explanation:

Given

[tex]y = Sales\ Price[/tex]

[tex]x = Cost[/tex]

[tex]y = x - (0.20x)[/tex]

Required

Determine y when x = 4.00

To do this, we simply substitute 4.00 for x in [tex]y = x - (0.20x)[/tex]

[tex]y = 4.00 - (0.20 * 4.00)[/tex]

[tex]y = 4.00 - 0.80[/tex]

[tex]y = 3.20[/tex]

Hence, the sales price is $3.20

Answer:

225 words

Step-by-step explanation:

In order to find the answer to this question we have to find how many words she writes in 1 minute. To do this you need to divide 90 words by 4 minutes:

(90)/4 = 22.5 words/minute

Now that the words per minute is found, we can multiply it by the 10 minutes to find how many words she can write in 10 minutes:

(22.5)(10) = 225

Therefore, Sara can type about 225 words in 10 minutes.

I hope this helps!!

- Kay :)

Answer:

See below

Step-by-step explanation:

Given

We need to describe the transformations from f to g

The transformation steps are:

So there are four transformations:

Answer:

1 by 4

Step-by-step explanation:

The computation of the probability is as follows

Here we assume the moves in a complex numbers i.e. a, b and c

Now the frog begins with the starting point.

So it would become easy to represent the exactly one element in a set that has lower or equal than 1

|a + b + c| , |a + b - c|, |a - b + c|, |a - b- c|

So here the probability is 1 by 4

Answer:

Step-by-step explanation:

You answer goes to minus infinity. There is no answer and you are correct.

Answer:

[tex]SD= 3.24[/tex]

Step-by-step explanation:

Given

[tex]Proportion, p = 30\%[/tex]

[tex]Population, n = 50[/tex]

Required

Determine the standard deviation

Standard Deviation (SD) is calculated as:

[tex]SD= \sqrt{np(1-p)}[/tex]

Substitute values for n and p

[tex]SD= \sqrt{50 * 30\% * (1-30\%)}[/tex]

Convert percentage to decimals

[tex]SD= \sqrt{50 * 0.30 * (1-0.30)}[/tex]

[tex]SD= \sqrt{50 * 0.30 * 0.70}[/tex]

[tex]SD= \sqrt{10.5}[/tex]

[tex]SD= 3.24[/tex] approximated

Answer:

15 chocolate chip

Step-by-step explanation:

1/4 of 20 is 5

this means there are 5 peanut butter cookies.

so 20-5= 15

this means there are 15 chocolate chip cookies

hope this helps!

Answer:

Its a

Step-by-step explanation:

took the test egde 2021

The difference between the new, colder temperature and the original temperature is 30 ° C.

"Temperature, measure of hotness or coldness expressed in terms of any of several arbitrary scales and indicating the direction in which heat energy will spontaneously flow—i.e., from a hotter body (one at a higher temperature) to a colder body (one at a lower temperature). Temperature is not the equivalent of the energy of a thermodynamic system; e.g., a burning match is at a much higher temperature than an iceberg, but the total heat energy contained in an iceberg is much greater than the energy contained in a match. Temperature, similar to pressure or density, is called an intensive property—one that is independent of the quantity of matter being considered—as distinguished from extensive properties, such as mass or volume."

Given,

The old temperature is = 18°C

The new temperature is = -12°C

The difference in temperature is [tex](-12\°C - 18\°C) = 30\°C[/tex]

Hence, A is the correct option.

To know more about temperature here

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The given expression is a difference of squares, so we have

16 (a + b)² - 49 (a - b)² = 4² (a + b)² - 7² (a - b)²

… = (4 (a + b))² - (7 (a - b))²

… = (4 (a + b) - 7 (a - b)) (4 (a + b) + 7 (a - b))

… = (4a + 4b - 7a + 7b) (4a + 4b + 7a - 7b)

… = (-3a + 11b) (11a - 3b)

Answer:

13.75

Step-by-step explanation:

Answer:

Concept: Caclulating Standard Variables

Answer:

The population of deer at any given time = 200(e^0.03t)  ÷ (1.5 + (e^0.03t))

Step-by-step explanation:

This is an example of logistic equation on population growth

carrying capacity, k = 200

Rate, r = 3% = 0.03

Initial Population, P1 =  80

P(t) =?

P(t) = (P1 (k)(e^rt)) ÷ (k- P1 + P1(e^rt))

P(t) = (80 (200)(e^0.03t)) ÷ (200 - 80 + 80(e^0.03t))

     = (16000(e^0.03t))  ÷ (120 + 80(e^0.03t))

      = 200(e^0.03t)  ÷ (1.5 + (e^0.03t))

Answer:

196 patches

Step-by-step explanation:

We are told that the quilt is made out of square pieces that have a perimeter of 24 square inches.

This means that, length of one side = 24/4 = 6 inches.

Now since Morgan is making a square quilt with an area of 49 square feet for her nephew, let's convert 6 inches to ft.

6 inches = 6 × 1/12 = 0.5 ft

Thus, the area of a small quilt = 0.5 × 0.5 = 0.25 ft²

Number of patches = 49/0.25 = 196 patches