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Katyanochek1 [597]
2 years ago
14

What is a necessary step for constructing perpendicular lines through a point off the line? A. Draw a line that intersects the f

irst line at an acute angle using a straightedge. B. Draw a ray that intersects the first line at an acute angle using a straightedge. C. Draw arcs on either side of a given point on the line. D. Draw arcs on the given line in two places.
Mathematics
3 answers:
adoni [48]2 years ago
6 0

Answer:

Answer : C

Step-by-step explanation:

miv72 [106K]2 years ago
6 0

Answer:

The answer is C!

Step-by-step explanation:

Guest1 year ago
0 0

good work man!

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What is the length of segment BD? Round your answer to the nearest hundredth. triangles ABC and ABD in which the triangles share
hichkok12 [17]

Answer:

BD = 4.99 units

Step-by-step explanation:

Consider the triangle ABD only.

The angle formed is 31 degrees which occurs between two sides that are AD and BC.

We know that for a right angled triangle, the angle can always be taken as an angle between hypotenuse and base.

Thus, The perpendicular sides is then 3 units, where base is BD and Hypotenuse is AD

Using formula for tanθ

tanθ = Perpendicular/Base

tan31 = 3/BD

0.601 = 3/BD

BD = 3/0.601

BD = 4.99 units

6 0
2 years ago
Joe wants to enlarge the rectangular pumpkin patch located on his farm. The pumpkin patch is currently 40 meters wide and 60 met
den301095 [7]

Answer:

The area of new pumpkin patch is  Area_2  =  15 x² + 380 x + 2400

Step-by-step explanation:

Given as :

The length of rectangular patch = L = 40 meters

The width of rectangular patch = W = 60 meters

So, The area of rectangular patch = Length × Width

Or, Area_1 =  L × W

So ,  Area_1  =  40 meters × 60 meters

Or,  Area_1 =  2400 meters²

Again The Width of new Patch = ( 40 + 3 x ) meter

And     The Length of new Patch = ( 60 + 5 x )  meter

Or, Area_2  =  L × W

So ,Area_2  =  ( 40 + 3 x ) meters × ( 60 + 5 x ) meters

Or,  Area_2  = 2400 + 200 x + 180 x + 15 x²

Or,  Area_2  =  15 x² + 380 x + 2400

Hence The area of new pumpkin patch is  Area_2  =  15 x² + 380 x + 2400  Answer

8 0
1 year ago
The median of $20, x, 15, 30, 25$ is $0.4$ less than the mean. If $x$ is a whole number, what is the sum of all possible values
34kurt

Answer:

198

Step-by-step explanation:

5 0
2 years ago
Susan is attending a talk at her son's school. There are 8 rows of 10chairs where 54 parents are sitting. Susan notices that eve
kozerog [31]

Answer:

The largest possible number of adjacent empty chairs in a single row is 3

Step-by-step explanation:

The parameters given are;

The number of chairs = 8 × 10 = 80 chairs

The number of parents = 54

Sitting arrangements of parents = Alone or to one other person

Therefore;

The maximum number of parents on a row = 1 + 1 + 0 + 1 + 1 + 0 + 1 + 1 + 0 + 1 = 7

Hence when the rows have the maximum number of parents occupying the seats we have for the 8 rows;

7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 = 56

But there are only 54 parents, therefore, up to the 7th row will have 7 parents while the 8th row will have only 5 parents to make the possible sitting arrangement to be as follows;

7 + 7 + 7 + 7 + 7 + 7 + 7 + 5 = 54

The sitting arrangement for the 8th row is therefore

1 + 1 + 0 + 1 + 1 + 0 + 1 + 0 + 0 + 0

Hence there will be three empty seats in the 8th row making the largest possible number of adjacent empty chairs in a single row = 3.

4 0
2 years ago
What is the result of substituting for y in the bottom equation?
zhenek [66]

Answer:

(A)x + 3= x^2 + 2x-4

Step-by-step explanation:

Given the equations:

y = x + 3\\y= x^2 + 2x-4

Substitution simply means replacing the variable y in the second equation with its equivalent x+3 from the first equation.

Substitution of y into y=x^2 + 2x-4 gives us:

x + 3= x^2 + 2x-4

The correct option is A.

6 0
2 years ago
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