Find the measure of each angle.


If m∠EBC = 55° and m∠EBD = 20°, find m∠2

Step-by-step explanation:

To solve the inequality:

4x + 8 ≥ -4

4x ≥ -12

x ≥ -3

If this is what you did then I'm not sure how you ended up getting x ≤ -3. You're not dividing by a negative number so the sign never switches.

Hope this helps

Step-by-step explanation:

−4≤4x+8

Subtraction property of inequality with the value 8.

-12≤4x

Division property of inequality with the value of 4.
The reason the sign stays as less than or greater to is because the sign only switches when the DIVISOR is negative, not the dividend.

(Just so the guy who originally answered can get brainliest :).

According to the Empirical Rule (68-95-99.7% Rule), approximately 68% percent of the values will be between 75 and 85.

According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.

[tex]P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) = 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) = 99.7\%[/tex]

Here, we had  where mean of distribution of X is [tex]\mu[/tex] and standard deviation from mean of distribution of X is [tex]\sigma[/tex].

A distribution of scores on an aptitude test is Normally distributed with a mean of 80 and a standard deviation of 5.

[tex]\mu=80\\\sigma=5[/tex]

The percentage for the interval of values between 75 and 85 has to be found out. From the 68%, the interval is,

[tex]P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(80 - 5 < X < 80+ 5) = 68\%\\P(75 < X < 85) = 68\%[/tex]

Thus, according to the Empirical Rule (68-95-99.7% Rule), approximately 68% percent of the values will be between 75 and 85.

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The system of equation has no solution.Because the variables in the given equation got canceled during substation.

We do the identical actions on both sides to ensure that both expressions remain equal. Solving equations entails determining the values of the variables involved for which the equation is valid.

The given equation is;

Equation 1;

[tex]\rm 2x-y=11[/tex]

Equation 2;

[tex]\rm 6x-3y=15[/tex]

From the equation 1 find the value of the y and put in the equation 2 as;

[tex]\rm y=2x-11[/tex]

[tex]\rm 6x-3y=15 \\\\\ 6x-3(2x-11)=15 \\\\\ 6x-6x-33=15[/tex]

From the above equation, it is observed that the variables in the equation got canceled.

Hence, the system of equation has no solution.

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The quadrilateral that is described with the given properties is known as; Rhombus

A quadrilateral is defined as a closed shape and a type of polygon that has four sides, four vertices and four angles.

Now, we are told that at least  at least two pairs of consecutive sides are congruent, diagonals are perpendicular to one another.

The only quadrilaterals that fit into thus definition are square and rhombus.

Now, we are told that the quadrilateral cannot be inscribed in a circle. A square can be inscribed in a circle but not a rhombus and as such we can say that the quadrilateral with the given properties is a rhombus,

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Answer:

first thing: 1/2=2/4

then we change -3/4+1/2 to -3/4+2/4 (it's the same thing)

then it's gonna be -3+2/4

answer= -1/4

Answer:

hence the midpoint of AB is 1/2,1

Step-by-step explanation:

A(-2,5)

B(3,-3)

now midpoint of AB is given by

[tex]mid \: point \: of \: ab = (\frac{ - 2 + 3}{2} ) \: ( \frac{5 - 3}{2} ) \\ = ( \frac{ 1}{2} ) \: (1)[/tex]

Answer: 7

Step-by-step explanation:

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.

The given sequnce is not geometric.

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant.

The common ratio of the sequnce is given by;

[tex]\rm Common \ ratio =\dfrac{a_2}{a_1}=\dfrac{-4}{2}=-2\\\\Common \ ratio =\dfrac{a_3}{a_2}=\dfrac{-16}{-4}=4[/tex]

The common ratio between terms is not same.

Hence, the given sequnce is not geometric.

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Answer:

pie * r^2 bro where r= 10mi

Answer:

false

Step-by-step explanation:

The area of a trapezoid is bounded by the lines y = x, y = 10, y = 5, and the y− axis is 37.5 square units.

A trapezium is a quadrilateral having two opposite sides parallel.

The area of a trapezium is equal to;

[tex]\rm Area =\dfrac{1}{2} \times \text{Distance between the parallel sides} \times \text{Sum of the parallel sides}[/tex]

The trapezoid is bounded by the lines y = x, y = 10, y = 5, and the y− axis.

The vertices are at (0,10), (10,10),(5,5) and (0,5)

You need to find the area of the rectangle (0,10) (10,5) (0,5) and (5,5)

The lengths are 5, 5,5,5.

The area of the legs is = 5 × 5 =25

The area is;

[tex]\rm Area =\dfrac{1}{2} \times \text{Distance between the parallel sides} \times \text{Sum of the parallel sides}\\\\Area =\dfrac{1}{2} \times 5 \times 5\\\\Area =12.5[/tex]

And the right triangle (10,5),(5,5), and (10,10) the right angle is at (10,5)

the two legs are lengths 5 and 5

so together they are 25 +12.5=37.5 square units.

Hence, the area of a trapezoid is bounded by the lines y = x, y = 10, y = 5, and the y− axis is 37.5 square units.

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Answer:

Vertex. An octagon has eight vertices (corners).

Step-by-step explanation:

Answer:

slope=1.200/2000=0.600

x-intercept =7/3=2.3333

y-intercept =7/-5--1.40000

Step-by-step explanation:

the x and y intercept and the aloe are called line of properties.

y tells us how far the line goes

x tells us how far it goes

m is the slope of gradient i.e. how steep the like is

bis y-intercept i.e. where the line line crosses the y

Answer:

16.

Step-by-step explanation:

48 - 32 = 16

So there are 16 in both category a and category b.

8 will be in category a only, and 8 in category b only.

Total = 8 + 8 +16 = 32.

Error Function of z {erf(z)}

Step-by-step explanation:

It is a much used function in statistics, fluid mechanics and thermodynamics.

It just tells the probability.

by following the rule that the sum of two sides must exceed that of the last, a. is true and b. is false

Answer: 21 is the range

Step-by-step explanation: You keep asking questions about things like this so I deliver

Range is the Largest number and then subtract it by the smallest number, the largest is 44 and smallest is 23 so 44 - 23 is 21

this question is unambiguous.

Answer:

2 I guess or what you mean with replace

Step-by-step explanation:

but you replace it you still have the 5 apple so not sure

Answer:

Step-by-step explanation:

lines cut by a transverse line which make angle x and y alternate exterior angles

Answer:

20

Step-by-step explanation:

First, consider (0,2) and (8,2).  The y-value is the same for both points.  x ranges from 0 to 8, so the length of this horizontal side of the triangle is (8-0), or 8.

Again, this horiz. side has a y-value of 2.

The third point is (4,-3).  Therefore the vertical distance from the horizontal line to the third point is 2 - (-3), or 5.

Thus, the "base" of the triangle is 8 and the "height" is 5.

The area is  A = (bh)/2.  Substitute the values 8 and 5.  Simplify your result.  Answer:  20 square units.

Answer: is to

Step-by-step explanation:

Ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

Answer:

Step-by-step explanation:

72 + 4t > 400

X could = 83 (since 82 will give you 400) or higher

Answer:

72 + 4t > 40

t > 82

Step-by-step explanation:

4t > 400 - 72

4t > 328

t > 82

Answer:

7!

Step-by-step explanation:

The awnser would be 7 as 7 goes into 14 and so does 7!

Check the picture below.

By using an excel spreadsheet and IRR function, the cross over rate = 14.85%

Year           Cash Flow (A)           Cash Flow (B)

0                    -58,000                   -58,000

1                      34,000                     21,200

2                     28,000                     25,200

3                     20,000                     30,000

4                      13,600                     25,200

using an excel spreadsheet and the IRR function:

Project A's IRR = 28.3%

Project B's IRR = 25.7%

(b) If you apply the IRR decision rule, which project should the company accept?

Project A (its IRR is higher)

Requirement 2:

(a) Assume the required return is 14 percent. What is the NPV for each of these projects?

using an excel spreadsheet and the NPV function:

Project A's NPV = $14,921.37

Project B's NPV = $15,156.64

(b) Which project will you choose if you apply the NPV decision rule?

Project B (its NPV is higher)

Requirement 3:

(a) Over what range of discount rates would you choose Project A?

higher than 14.85%

(b) Over what range of discount rates would you choose Project B?

lower than 14.85%

(c) At what discount rate would you be indifferent between these two projects?

crossover rate calculation

Year           Cash Flow (A)           Cash Flow (B)       differential amount

0                    -58,000                   -58,000                       $0

1                      34,000                     21,200                     $12,800

2                     28,000                     25,200                     $2,800

3                     20,000                     30,000                  -$10,000

4                      13,600                     25,200                   -$11,600

using an excel spreadsheet and IRR function, the cross over rate = 14.85%

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