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Vlad1618 [11]
3 years ago
6

What is the length of BC¯¯¯¯¯ ? segment B C with point D between B and C. congruency markings at segment BD and at segement D C.

segment B D is labeled as 18 units long Enter your answer in the box. BC=
Mathematics
1 answer:
Arturiano [62]3 years ago
6 0

Answer: segment BC = 36 units

Step-by-step explanation:

As per the given information, we have

B, C and D are three points such that

segment BC = segment BD + segment DC          ... (i)

And segment BD = segment DC                        ... (ii)

If segment BD = 18 units

Then, segment DC = 18 units   [From (ii)]

segment BC = 18 units +  18 units                [From (i)]

⇒segment BC = 36 units

Hence, length of \overline{BC} = 36 units

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Emily was offered a job after college earning a salary of $35,000. She will get a raise
Svetlanka [38]

Answer:

Step-by-step explanation:

Salary offered to Emily after college = $35000

Rise in her salary = $2000 every year

Let she works for x years in the company,

Salary rise in her salary = $2000x

Total salary after x years = $(35000 + 2000x)

The independent variable x represents NUMBER OF YEARS and dependent variable is the TOTAL SALARY,because the SALARY depends on the NUMBER OF YEARS WORKED.

A function these variables is C(x) = 35000 + 2000x

So, C(4) = 35000 + 2000(4) = 43000, meaning 4 years later Emily will earn a salary $43000.

3 0
3 years ago
Find the equation of the line with Slope = -4 and passing through (-1,8). Write your equation in the form
Thepotemich [5.8K]

Answer:

y= -4x+4

Step-by-step explanation:

y=mx+b

where x=-1, y=8, and m=-4

8=(-4)(-1)+b

8=4+b

4=b

Thus, y= -4x+4

8 0
2 years ago
Which statements are true about the graph of y ≤ 3x + 1 and y ≥ –x + 2? Check all that apply. 1.The slope of one boundary line i
zloy xaker [14]

Answer:

2.Both boundary lines are solid.

3.A solution to the system is (1, 3)

5.The boundary lines intersect.

Step-by-step explanation:

we have

y\leq 3x+1 ----> inequality A

The solution of the inequality A is the shaded area below the solid line y=3x+1

The slope of the solid line is 3

The point (1,3) is  a solution of inequality A (lie in the shaded area of the solution set)

y\geq -x+2 ----> inequality B

The solution of the inequality B is the shaded area above the solid line y=-x+2

The slope of the solid line is -1

The point (1,3) is a solution of inequality B (lie in the shaded area of the solution set)

The solution of the system of inequalities is the shaded area between the two solids lines

see the attached figure

<u><em>Verify each statement</em></u>

1.The slope of one boundary line is 2

The statement is False

2.Both boundary lines are solid.

The statement is True

3.A solution to the system is (1, 3)

The statement is True

4.Both inequalities are shaded below the boundary lines

The statement is False

5.The boundary lines intersect.

The statement is True

The intersection point is (0.25,1.75)

see the attached figure

7 0
3 years ago
Read 2 more answers
20 points...<br><br> Sherlock - please help!
antiseptic1488 [7]

Answer:

C) \{\frac{1+\sqrt{5}}{3},\:\frac{1-\sqrt{5}}{3}\}

Step-by-step explanation:

(3x-1)^2=5\\\\3x-1=\pm\sqrt{5}\\\\3x=1\pm\sqrt{5}\\\\x=\frac{1\pm\sqrt{5}}{3}\\ \\\{\frac{1+\sqrt{5}}{3},\:\frac{1-\sqrt{5}}{3}\}

3 0
2 years ago
A normal distribution has a mean of 30 and a standard deviation of 6
san4es73 [151]
I forgot all about this :(
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