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grin007 [14]
1 year ago
5

What is perpendicular bisector? * When a ray cuts an angle in half exactly When a line, ray or segment cuts another segment in h

alf at the exact midpoint When a segment is cut exactly in half at the midpoint at a 90 degree angle a 90 degree angle
Mathematics
1 answer:
algol [13]1 year ago
3 0

When a segment is cut exactly in half at the midpoint at a 90 degree angle. then it is called a perpendicular bisector.

Perpendicular bisector from its name suggest a line that is perpendicular to another line and that also bisects the other line.

A perpendicular bisector is a line which cuts another line in two equal haves forming an angle of 90° with the line.

If any of these features are not there, then it is not a perpendicular bisector.

Therefore, when a segment is cut exactly in half at the midpoint at a 90 degree angle. then it is called a perpendicular bisector.

Learn more about perpendicular bisector. here:

brainly.com/question/11006922

#SPJ9

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Answer with work pls
viktelen [127]

Answer:

50 students

Step-by-step explanation:

Hello!  

To solve this question, we would first need to look at the data. In this data, there are people who chose their favorite sport, and the number of people who chose that response. In order to solve the problem, we would have to find the ratio of how many people choose baseball over the other sports.

By this, we can add the number of students together. 30+10+5+15=60. Out of those 60 students, only 5 people chose baseball.

Since the ratio of the people who chose baseball is 5/60 (meaning that it is a 5/60 % chance someone would pick this sport), we would need to find the amount of people assumed to pick baseball in 600 student survey.

We can make a relationship with these two numbers.

\frac{5}{60} =\frac{x}{600}, since the ratio of the students who chose baseball remain the same.

You can see that the ratio on the denominators just add a zero on the bottom, so the top should add 0 as well, to get 50 for x, what we needed.

You can also solve that relationship by cross multiplication.

5(600)=x(60

3000=60x

50=x

Regardless, the answer is 50 students who would choose baseball in a 600 persons survey.

5 0
2 years ago
98 POINTS! PLEASE HELP! I been stuck on this assignment for over 2 weeks. My teacher gave me a simple explanation when I asked f
Colt1911 [192]

See the attached picture.

  • Create an equation for the volume of the box, find the zeroes, and sketch the graph of the function.

The resulting box has a volume

V(x)=x(8-x)(12-x)=x^3-20x^2+96x

because the volume of a box is the product of its width (12-x), length (8-x), and height (x).

  • find the zeroes

You know right away from the factored form of V(x) that the zeroes are x=0,8,12. (zero product property)

  • sketch the graph of the function

Easy to plot by hand. You know the zeroes, and you can check the sign of V(x) for any values of x between these zeros to get an idea of what the graph of V(x) looks like. See the second attached picture.

Here's what I mean by "check the sign" in case you don't follow. We know V(x)=0 when x=0 and x=8. So we pick some value of x between them, say x=1, and find that

V(1)=1(8-1)(12-1)=7\cdot11=77

which is positive, so V(x) will be positive for any other x between 0 and 8. Similarly we would find that V(x) for x between 8 and 12, and so on.

  • What is the size of the cutout he needs to make so that he can fit the most marbles in the box?

It's impossible to answer this without knowing the volume of each marble...

  • If Thomas wants a volume of 12 cubic inches, what size does the cutout need to be?

Thomas wants V(x)=12, so you solve

x^3-20x^2+96x=12

While this is possible to do by hand, the procedure is tedious (look up "solving the cubic equation"). With a calculator, you'd find three approximate solutions

x\approx0.1284

x\approx7.6398

x\approx12.2318

but you throw out the third solution because, realistically, the cutout length can't be greater than either of the sheet's dimensions.

  • What would be the dimensions of this box?

The box's dimensions are (x in) x (8-x in) x (12-x in).

If x\approx0.1284, then 8-x\approx7.8716 and 12-x\approx11.8716.

If x\approx7.6398, then 8-x\approx0.3602 and 12-x\approx4.3602.

8 0
2 years ago
Find the slope of the line that passes through (-2, 5) and (-2, 1).<br> m=5-1/-2-2/=4/-4= -1
Inessa05 [86]

Answer:

(1-5)/(-2+2)= -4/0 is undefined

4 0
3 years ago
Complete each statement.
strojnjashka [21]

Step-by-step explanation:

There are <u>1000</u> milligrams in 1 gram.

There are <u>1000 </u>litres in 1 kiloliter.

3 0
3 years ago
Read 2 more answers
100 POINTS!! OMG YOU NEED TO SOLVE THIS!
natita [175]

Answer:

The correct answer is: \Delta BDE \cong \Delta BFK by <em>rule</em> ASA rule of congruence.

Step-by-step explanation:

First let us prove \Delta BDE \cong \Delta BFK by rule ASA (rule of congruence).

<u>Congruent side:</u>

\overline{BD} \cong \overline{BF} (Given)

<u>Congruent angles:</u>

1. By definition of perpendicular,

\angle{BFK} = 90 \textdegree \ (Since \ \overline{FK} \ is \ perpendicular \ to \ \overline{AB} \ (\overline{FK} \perp \overline{AB} =Given))

Also,

\angle{BDE} = 90 \textdegree \ (Given)

Therefore,

\angle{BDE} \cong \angle{BFK}

or you can say,

\angle{D} \cong \angle{F}

2. Common angle between \Delta BDE \ and \ \Delta BFK is \angle{B}

In a nutshell, in \Delta BDE,

\angle{B} (Angle)

\overline{BD} (Side)

\angle{BDE} (Angle)

are congruent to the following angle, side and angle of \Delta BFK:

\angle{B} (Angle)

\overline{BF} (Side)

\angle{BFK} (Angle)

Therefore, by ASA rule of congruence, we can say \Delta BDE \cong \Delta BFK.

<em>Since both triangles are congruent</em>, the sides \overline{ED} and \overline{FK} are also congruent.

5 0
3 years ago
Read 2 more answers
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