1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nataly_w [17]
3 years ago
13

What is the first step in the construction of a line perpendicular to and passing through an external point M? Assume that the c

onstruction uses only a compass and a straightedge.
A.
Place the compass needle on M and, keeping the compass width the same, draw two arcs that intersect .

B.
Place the compass needle at any point on , and set the compass width to M.

C.
Draw a line from point M passing through , and mark the point of intersection.

D.
Place the compass needle at any two points on , and draw two arcs through M.
Mathematics
1 answer:
AVprozaik [17]3 years ago
4 0

Answer:

A.)lPace the compass needle on M and, keeping the compass width the same, draw two arcs that intersect

Step-by-step explanation:

In the construction of a line perpendicular to AB←→ and passing through an external point M the first step must be"Place the compass needle on M and, keeping the compass width the same, draw two arcs that intersect AB←→". After that you can draw arcs from intersection points (keeping the compass width same as before) to the opposite side of M, name it as N than use straightedge to draw line passes through M and n that would be perpendicular line to AB.

You might be interested in
The hypotenuse of an isosceles right triangle is centimeters longer than either of its legs. Find the exact length of each side.
Varvara68 [4.7K]

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Answer:

Hypotenuse:37.56

Other\ Legs: 26.56

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

y = 11 + x

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

y^2 = x^2 + x^2

y^2 = 2x^2

This gives:

(11+x)^2 = 2x^2

Open bracket

121 + 22x + x^2= 2x^2

Collect like terms

2x^2 - x^2 -22x - 121 = 0

x^2 -22x - 121 = 0

Using quadratic formula:

x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}

x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}

x = \frac{-(-22)\±\sqrt{968}}{2*1}

x = \frac{22\±31.11}{2}

Split

x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\

x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}

x can not be negative.

So:

x = \frac{53.11}{2}

x = 26.56

Recall that:

y = 11 + x

y = 11 + 26.56

y = 37.56

Hence, the dimensions are:

Hypotenuse:37.56

Other\ Legs: 26.56

6 0
3 years ago
What is -16, -15.7, -15 1/2, -16 1/4 in greatest to least
elena55 [62]
-161/4<-16<-15.7<-151/2
7 0
3 years ago
How to write 3600 in babylonian numerals?
katrin [286]

Answer:

Each vertical bar | (pipe) equals a unit and each < (corner wedge or bracket) equals a tenth. The change of power of sixty (60 ^ 1 = 60, 60 ^ 2 = 3600, 30 ^ 3 = 216000, etc.) is represented by a space.

7 0
3 years ago
Which side of the dilation corresponds to side AC of the original figure?
Sav [38]
It is A'C' because when the figure is dilatted the corresponding figure has " by it.

hopes this helps :)

8 0
3 years ago
Please answer all questions i will give brainliest
jarptica [38.1K]

Answer:

Answers for 1-126

Step-by-step explanation:

a. x + 8 = 21

-8 -8

x = 13

b. x - 32 = 55

+32. +32

x = 87

c. 3x = 54

÷3. ÷3

x = 18

d. x/5 = 10

×5. ×5

x = 50

Answer for 1-124

1/5 = 2/10 , so 2 of the 10 colors are blue and 3 of the 10 colors are green.

The probability is 5/10 = 1/2

this is all I could do. sorry

4 0
2 years ago
Read 2 more answers
Other questions:
  • Solve for x. -ax+4b&gt;9
    12·2 answers
  • For f(x)=3x+1 and g(x)=x^2-6, find (f o g)(x)
    5·1 answer
  • They spent $16.00 per basketball and $24.00 per football, spending a total of $480.00. They bought 5 more footballs than basketb
    13·1 answer
  • What is the GMH?help and help fast plz
    11·1 answer
  • In a class of 888, there are 333 students who have done their homework. If the teacher chooses 222 students, what is the probabi
    13·2 answers
  • Find the surface area of the prism.<br> 7 cm<br> 13 cm<br> 5 cm<br> 12 cm<br> The surface area is
    14·1 answer
  • Find the angle between the following pairs of lines x^2+6xy +9y^2-4x +12y-5 =0​
    9·1 answer
  • A = 3 and c = 12 c/a =
    9·1 answer
  • The pathway of a frog jumping onto a lily pad can be represented by the equation h= -0.5t^2 +3t+2
    12·1 answer
  • What is the angle of depression zipline ​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!