How many 3/4s are in 2? Draw a Diagram

Constructing an angle bisector using only a straightedge and compass involves drawing the Angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle.

To construct an angle bisector using a straightedge and compass, there are several steps that you need to follow. The correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass are listed below:

Step 1: Draw the angle ABC with a straightedge.

Step 2: Place the point of the compass on point B and swing an arc that intersects both lines that make up the angle. Label the two points where the arc intersects the angle as points D and E.

Step 3: Without changing the compass width, place the point of the compass on point D and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point F.

Step 4: Without changing the compass width, place the point of the compass on point E and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point G.

Step 5: Draw the line segment FG with a straightedge. This line segment is the angle bisector of angle ABC.

In summary, constructing an angle bisector using only a straightedge and compass involves drawing the angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle. Following these steps will allow you to construct the angle bisector of ABC accurately.

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Answer:

A

Step-by-step explanation:

A is correct! How have a great day!

Answer:

Mystery Number is 8

Step-by-step explanation:

3x - 15 = 5 + 1/2x

3x - 1/2x = 15 + 5

5/2x = 20

x = 20 / 5/2

x = 20 * 2/5

x = 40 / 5

x = 8

Answer:

7 percent

Step-by-step explanation:

182/2600

Step-by-step explanation:

12- 2*6

26- 2*13

gcf =2

the least greatest common factor is 2

Answer:

false

a rhombus only has 4 equilateral sides and a square has 4 equilateral sides and all interior angles are right angles therefore that question is false

Answer:

a. $825,000

b. $1,175,000

c. $750,000

d. $350,000

e. $3,150,000

f. $2,675,000

g. Accounts payable and accruals

Step-by-step explanation:

a. Total debt is long term debt $825,000

b. The amount of liability apearing on balance sheet is $1,175,000 ($825,000 + $350,000)

The amount of equity appearing in balance sheet is $2,000,000

c. Current Assets balance on the balance sheet is $750,000 ($3.5m - $2.75m)

the difference of total assets and net plant equipment.

d. Current liabilities to be reported on the balance sheet is $350,000 and the amount of accounts payable and other payable.

e. Net working capital is calculated by taking total assets and then deducting current liabilities from it. $3,150,000 ($3500,000 - $350,000)

f. Operating working capital is calculated by subtracting total liablities from total assets. $2,675,000 ($3,500,000 - $825,000)

g. The amount of accounts payable and accruals is not provided in the question the amount will be reported in the balance sheet.

Answer:

14 tests in 7 weeks

Step-by-step explanation:

Answer:

14 tests!!!

Step-by-step explanation:

Simplify 5/10 to 1/5 make a proportion with 1/5 and ?/7

The ratios will be equal if the theorem that the product of the extremes equals the product means follows.

Let us understand the equality of ratios through example. The example ratio will be -

7:10 = 21:30

In this ratio, 7 and 30 are first and last numbers and hence they are extremes. The number 10 and 21 are in middle and hence considered mean. Now, we will perform multiplication to if the ratios are equal or not.

Product of extremes = 7 × 30

Extremes product = 210

Product of means = 21 × 10

Means product = 210

Since the products are equal, the ratios are also equal.

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The complete question is -

Are the following ratios equal? write yes or no. use the theroem that the product of the extremes equals the product means.

Ratio = 7:10 and 21:30.

Answer:

C. 1 in, 2 in, 3 in

if you think about it- the 3inch side will be as long as the other 2 sides put together. it wouldn't form a triangle at all- just one line on top of the other 2.

If Isaiah is measuring 3 1/2 inches using a ruler marked in 1/8 inch increments. The total number of eighths that Isaiah will need to count out to make his measurement is B.28.

We would be making use of the given hint to determine the total number  of eight.

The hint is to use  3 1/2 into an improper fraction with a denominator of 8.​

Hence,

Converting 3 1/2 to improper fraction

3 1/2 = 7/ 2 inches

Now let determine the total number with a denominator of 8.​

= 7 × 4 / 2 ×4

= 28 /8

Therefore the correct option is B.

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Answer:

x = 6, x = -4

Step-by-step explanation:

Answer: C

Step-by-step explanation:

1/4th of -5 is -1.25 so in fractions that is -1 1/4 (ANSWER IS C)

the answer is C

Answer:

4y

Step-by-step explanation:

y - (-3y)

y + 3y

4y

When you see two negatives they basically become an addition symbol. In this case you then add the like terms which are y and 3y to get 4y. Hope this helps!!

Answer:

\(x=9\\y=41\\m\angle EBF = 56^\circ\)

Step-by-step explanation:

Finding x is not too bad since it's clear that \(\angle ABD\) and \(\angle DBC\) are complementary angles, which add up to 90°:

\(m\angle ABD+m\angle DBC=90^\circ\\(3x+7)^\circ+(5x+11)^\circ=90^\circ\\3x+7+5x+11=90\\8x+18=90\\8x=72\\x=9\)

Given we now know the value of x, we can use that information to solve for y by recognizing that \(\angle DBC\) and \(\angle FBC\) are supplementary angles, which add up to 180°:

\(m\angle DBC+m\angle FBC=180^\circ\\(5x+11)^\circ+(3y+1)^\circ=180^\circ\\5x+11+3y+1=180\\5(9)+11+3y+1=180\\45+11+3y+1=180\\3y+57=180\\3y=123\\y=41\)

Lastly, we can figure out \(m\angle EBF\) since both that and \(\angle DBC\) are vertical angles, meaning they have the same angle measure. Since \(m\angle DBC=(5(9)+11)^\circ=(45+11)^\circ=56^\circ\), then \(m\angle EBF=56^\circ\) as well.

I hope this helped! Feel free to comment below if I need to expand on anything that you may have not understood.

Answer:

3

Step-by-step explanation:

system of equations:

\(a+b=4\)

\(a^3+b^3=28\)

\(a=4-b\)

plug in for a in other equation and solve

\((4-b)^3+b^3=28\)

\(64-48b+12b^2-b^3+b^3=28\)

\(64-48b+12b^2=28\)

\(0=36-48b+12b^2\)

\(0=3-4b+b^2\)

\(0=(b-3)(b-1)\)

\(b = 3\)

or

\(b=1\)

plug into other equation to get a

\(a=4-b=4-3=1\)

or

\(a=4-b=4-1=3\)

multiply together

\(1*3=3\)

Using common factor method, sum of the given expressions is 17.14m + 9.37

what is common factor ?

In mathematics, a common factor is a factor that two or more numbers have in common. For example, the numbers 12 and 18 have common factors of 1, 2, 3, and 6. The greatest common factor (GCF) is the largest number that divides evenly into two or more numbers.

In algebra, we often use the term "common factor" when referring to expressions. When two or more algebraic expressions have a factor in common, we can use the distributive property to factor out the common factor.

According to the question:
To add the expressions (5.19+4m)+(4.18+3.95m), we can first group the like terms:

(5.19 + 4.18) + (4m + 3.95m)

9.37 + 7.95m

So, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = 9.37 + 7.95m

Now, we can use the distributive property to factor out a common factor of m from 7.95m:

9.37 + 7.95m = 4m + (5.19 + 7.95)m

We can factor out a common factor of 1 from (5.19 + 7.95)m:

4m + (5.19 + 7.95)m = (4 + 5.19 + 7.95)m

Adding the coefficients, we get:

4 + 5.19 + 7.95 = 17.14

Therefore, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = (4m+5.19)+(3.95m+4.18)= 17.14m + 9.37.

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Answer:

12

Step-by-step explanation:

If she has 12 cups of yogurt and each cup only uses 1 cup then she can make 12 smoothies

Answer:

12

Step-by-step explanation:

Answer:

60°, arms 6

Step-by-step explanation:

let the total arms = n

total generated angles in a regular polygon is = (n-2)×180

now,

(n-2)×180 = 120 n

or, 180n - 360 =120n

or, 60n = 360

or, n = 6

The correct image include the following: B. Green: image A.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

By applying a rotation of 270° clockwise about the point (1, 2) to the coordinate of the vertices of blue block D, the coordinate the vertices of of its image would be located at the position of the Green: image A.

In this context, we can reasonably infer and logically deduce that Green: image A is the correct transformed shape.

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Answer:

\(\mathrm{Factor}\:x^2+5x+6:\quad \left(x+2\right)\left(x+3\right)\)

Step-by-step explanation:

Let us assume the trinomial of the form \(x^2+bx+c\)

\(x^2+5x+6\)

Break the expression into the groups

\(=\left(x^2+2x\right)+\left(3x+6\right)\)

Factor out 'x' from \(x^2+2x\)

i.e.

\(\:x^2+2x=x\left(x+2\right)\)

Factor out '3' from 3x+6

i.e.

3x+6 = 3(x+2)

so the expression becomes

\(\:x^2+2x=x\left(x+2\right)\)

\(\mathrm{Factor\:out\:common\:term\:}x+2\)

\(=\left(x+2\right)\left(x+3\right)\)

Hence,

\(\mathrm{Factor}\:x^2+5x+6:\quad \left(x+2\right)\left(x+3\right)\)

Answer:

I think C

Step-by-step explanation:

sorry if I'm wrong

D i answered this one on khan.

Answer:

The geometric mean of 6 and 30 is 13.416407864999

The answers to the questions to one significant figure are

a. 4000

b. 2000

c. 10,000

The problem can be solved using calculator

a

= 24 * 65 / 0.37

= 1608 / 0.37

= 4345.946

= 4000 to one significant figure

b. 71 * 8.2 / 0.22

= 2646.364

= 2000 to one significant figure

c. 49.3 * 11.1 / 0.053

= 10325.094

= 10000  to one significant figure

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The estimation of the following numbers rounded to one significant figure are:

a. 4,000

b. 3,000

c. 10,000

\( \frac{24 \times 65}{0.37} \)

\( = \frac{1560}{0.37} \)

= 4216.216216216216

= 4000 to one significant figure.

\( \frac{71 \times8.2 }{0.22} \)

\( = \frac{582.2}{0.22} \)

\( = 2646.363636363636\)

= 3,000 to one significant figure

\( \frac{49.3 \times 11.1}{0.053} \)

\( = \frac{547.23}{0.053} \)

\( = 10325.09433962264\)

= 10,000 to one significant figure

Significant figures are digits 1 to 9

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It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.

Time = Distance / Speed

Time = 389 miles / 65 mph

Time ≈ 5.98 hours

Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.

To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.

Number of gallons = Distance / Mileage

Number of gallons = 389 miles / 29 miles per gallon

Number of gallons ≈ 13.41 gallons

The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.

Cost = Number of gallons * Cost per gallon

Cost ≈ 13.41 gallons * $3.89/gallon

Cost ≈ $52.18

Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

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Answer:

C

Step-by-step explanation: