Sophie has been given two segments and the measure of an angle between them. She is trying to construct a congruent triangle. She has just finished one of the steps of the construction. Which step will she do next? A) Copy the angle. B) Copy the first line segment. C) Construct the segment between the endpoints of the two copied line segments. D) Copy the second line segment with one endpoint at the same endpoint of the first line segment.

Answer:

This property is communitive

Step-by-step explanation:

In this problem, you are asked to write a number in scientific notation. In figures, 78 million would look like this:

78,000,000

To write this to scientific notation, you have to move the decimal point to the left until you will get a number between 1 and 10.

Here, you will have to move the decimal point 7 times to get 7.8

The exponent of the scientific notation is the number of times you moved your decimal point. Since the movement of decimal point is going to the left, you will have a positive exponent.

The scientific notation would look like this:

7.8 x 10^7

The answer will be 1.53 after dividing and rounding to the nearest tenth 3.5 divided by 2.29.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have:

= 3.5/2.29

After dividing we will get:

= 1.528

Rounding to the nearest tenth:

= 1.53

Thus, the answer will be 1.53 after dividing and rounding to the nearest tenth 3.5 divided by 2.29.

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By defining the variable 'L' for the number of baseball cards Leo has, we solve for 'L' and determine that Ginny has 210 baseball cards using the equations derived from the given information.

The student has asked a question that involves algebraic expressions and solving equations which is a typical middle school mathematics problem. First, let's define a variable for the number of baseball cards Leo has. Let's call this number 'L'. According to the problem, Alex has 4 less than twice the number of baseball cards as Leo, which can be expressed as 2L - 4. We know that Alex has 128 baseball cards, so we can set up the equation 2L - 4 = 128.

Now, let's solve for L:

Now we know Leo has 66 baseball cards. We can use this information to find out how many baseball cards Ginny has. The problem states that Ginny has 12 more than three times the number of baseball cards that Leo has. This can be expressed as 3L + 12. Since L is 66, we substitute and calculate Ginny's baseball cards:

Ginny's baseball cards: 3(66) + 12 = 198 + 12 = 210

Final answer:

To find out how many tons of grain were delivered on the first day, a simple algebraic equation was set up and solved to show that 800 tons were delivered on the first day.

Explanation:

Given that 1440 tons of grain were delivered to a silo over two days, we need to determine the amount delivered on the first day. It was stated that the second day's delivery was 80% of the first day's. Let's represent the first day's delivery as x tons. Therefore, the second day's delivery would be 0.80x tons. The sum of the two-day deliveries equals 1440 tons. This gives us the equation:

x + 0.80x = 1440

To solve this equation, we combine like terms:

1.80x = 1440

Dividing both sides by 1.80 gives us:

x = 1440 / 1.80

x = 800

Thus, 800 tons of grain were delivered on the first day.

Distributive Property:

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

In numerical form we have:

[tex] a(b+c) =a*b +a*c [/tex]

Now let us use this property for our question:

(-2.5)(3-8y)

Here we have ,

a=(-2.5) , b=3 and c=-8y

So using distributive property here,

[tex] (-2.5)(3-8y) =(-2.5)*(3) +(-2.5)*(-8y) [/tex]

=-7.5 +20y

So answer is -7.5 +20y

Final answer:

To find the area of a soccer field with a length of 100 yards and a width of 60 yards, the equation used is Area = 100 yards × 60 yards, resulting in an area of 6000 square yards.

Explanation:

To calculate the area of a soccer field with a length of 100 yards and a width of 60 yards, we can use the formula for the area of a rectangle, which is Area = length × width. In this case, we would calculate the area as follows:

Step 1: Identify the Formula

Area = length × width

Step 2: Plug in the Measurements

Area = 100 yards × 60 yards

Step 3: Calculate the Area

Area = 6000 square yards

Therefore, the equation to find the area of the soccer field is Area = 100 yards × 60 yards, giving us an area of 6000 square yards.

The question in English is

Calculate the circumference of the circle entered in a square 8 cm long

we know that

The circumference of a circle is equal to

[tex]C=\pi D[/tex]

where

D is the diameter of the circle

In this problem we have that

the diameter of the circle is equal to the length of the square

so

[tex]D=8\ cm[/tex]

Find the circumference

[tex]C=8\pi\ cm=25.13\ cm [/tex]

therefore

the answer is

The circumference of a circle is equal to [tex]8\pi\ cm\ or\ 25.13\ cm[/tex]

Answer:

Distance CD = 6

Step-by-step explanation:

In a rectangle ABCD coordinates of A(-4, 3), B(2, 3) and C(2, -1) are given.

We have to find the distance between points C and D when D is the fourth vertex of the rectangle.

Since in a rectangle length of opposite sides are equal, so AB = CD

distance between A(-4, 3) and B(2,3) = distance between points C and D

√(2+4)²+ (3-3)² = CD

CD = √6² = 6

Therefore CD = 6 is the answer.

The required answer would be 8.368 which is 0.8 percent of 1,046.

The percentage is defined as a ratio expressed as a fraction of 100.

For instance, If Mishali obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.

We have to determine the evaluation of 0.8% of 1,046.

⇒ 0.8% of 1,046

0.8%  is expressed as 0.8/100 in fractional form

⇒ (0.8/100)(1,046)

0.8/100  is expressed as 0.008 in decimal form

⇒ (0.008 )(1,046)

Apply the multiplication operation, and we get

⇒ 8.368

Therefore, 0.8% of 1,046 would be 8.368.

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