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3 years ago

Which of these is a correct step in constructing the bisector of a line segment?

Mathematics

2 answers:

egoroff_w [7]3 years ago

8 0

Answer:

D. Use a compass to create the distance between the endpoints.

I took the quiz today

maw [93]3 years ago

7 0

ًWe should use the compass at one endpoint of line segment.
Adjusting the compass to slightly longer than half the line length
Drawing arcs above and below the segment line.
Keeping the same compass width, draw arcs from other endpoint connecting the arcs cross, and draw the line segment.The inter section between the two lines represents the mid point of the line segment.

Therefore the correct answer is option C
C Use the compass to copy the line segment on two arcs at equal distance from the endpoints if the segment

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Please help me find the answer pls

fiasKO [112]

Answer:

A. Solutions are: x = 2, y = 1.

B. Solutions are: x = 3, y = 2.

1. Inconsistent

2. Inconsistent

3. Consistent

Step-by-step explanation:

A. Solutions of each system of linear equations by substitution method:

Equation 1: 3x - 2y = 4

Equation 2: x = 2y

Step 1: Substitute x = 2y into the Equation 1:

3(2y) - 2y = 4

6y - 2y = 4

4y = 4

Step 2: Divide both sides of the equation by 4 to isolate y:

$\frac{4y}{4} = \frac{4}{4}$

y = 1.

Step 3: For Equation 2, x = 2y, substitute y = 1 into the equation to solve for x:

x = 2y

x = 2(1)

x = 2

Therefore, the solutions are: x = 2, y = 1.

B. Find the solutions of each system of linear equations by elimination method:

Equation 1: 2x + y = 8

Equation 2: x + y = 5

Step 1: Multiply Equation 2 by 2:

2(x + y) = 5(2)

2x + 2y = 10

Step 2: Subtract Equation 1 from the equation derived from Step 1, 2x + 2y = 10:

2x + 2y = 10

- 2x + y = 8

y = 2

Step 3: Plug in y = 2 into Equation 1, 2x + y = 8 to solve for x:

2x + y = 8

2x + (2) = 8

Step 4: subtract both sides of the equation by 2 to isolate x:

2x + 2 - 2 = 8 - 2

2x = 6

Step 5: Divide both sides of the equation by 2 to solve for x:

$\frac{2x}{2} = \frac{6}{2}$

x = 3.

The solutions are: x = 3, y = 2.

1. Inconsistent

2. Inconsistent

3. Consistent (infinitely many solutions)

3 0

3 years ago

The length of chord AB in D is 9mm. If the measure of angle AB is 32 then find the length of AB

Taya2010 [7]

The length of arc AB is 9.12 mm:

We first calculate for the radius r of the circle using the equation
r = c/(2 sin[theta/2])

where c is the length of chord AB that is given as 9 millimeters
angle given is 32 degrees

To convert theta 32 degrees into radians:
32 degrees * (pi/180) = 32 degrees * (3.14/180) = 0.5583 radians

We now substitute the values into the equation to find the radius r:
r = 9/(2 sin[0.5583/2])
r = 16.33 mm
.
We can finally solve for the length s of arc:
s = r theta = 16.33 * 0.5583 = 9.12 mm

5 0

3 years ago

The three angles of a triangle measure x+37, 90, and x+67. Find the measurement of the smallest angle in degrees.

vichka [17]

Answer:

The first angle is the smallest

Step-by-step explanation:

Step one:

given data

Angle 1= x+37

Angle 2= 90

angle 3= x+67

We know that the sum of angle in a triangle is 180

x+3+90+x+67= 180

collect like terms

2x+160= 180

2x=180-160

2x= 20

divide both sides by 2

x= 10

Step two:

Angle 1= 10+37= 47 °

Angle 2= 90= 90

angle 3= 10+67= 77 °

7 0

3 years ago

Ivanna is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a num

saul85 [17]

Answer:

The spinner has 6 equal-sized slices, so each slice has a 1/6 probability of showing up.

I guess that we want to find the expected value in one spin:

number 1: wins $1

number 2: wins $3

number 3: wins $5

number 4: wins $7

number 5: losses $8

number 6: loses $8

The expected value can be calculated as:

Ev = ∑xₙpₙ

where xₙ is the event and pₙ is the probability.

We know that the probability for all the events is 1/6, so we have:

Ev = ($1 + $3 + $5 + $7 - $8 - $8)*(1/6) = $0

So the expected value of this game is $0, wich implies that is a fair game.

8 0

3 years ago

Write in slope-intercept form an equation of the line that passes through the points (−6,−3) and (18,1).

Brilliant_brown [7]

6x-y+33=0

Step-by-step explanation:

m=y2-y1/x1-x2

m=1-(-3)/18-(-6)

m=4/24m=6

m=y-y1/x-x1

6=y-y1/x-x1

6x-y+33=0

4 0

2 years ago