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
barxatty [35]
3 years ago
13

Katherine wants to prove that the measures of the interior angles of a triangle have a sum of 180. She draws a triangle and exte

nds one of the sides through a vertex. She then draws a line through this vertex that is parallel to the opposite side
Mathematics
1 answer:
Oliga [24]3 years ago
8 0

Answer:

As we know, if we add up the interior and exterior angles of one corner of a triangle, we always get 180. the exterior angle in question is equal to the sum of the other two angles in the triangle

You might be interested in
How does the rate of change of f(x)=3x+5 compare to the rate of change of g(x)=2x+5 ?
elena55 [62]
Do you know how to do it on your calculator?
6 0
3 years ago
PLEASE HELP
shtirl [24]

Answer:

70 m

Step-by-step explanation:

AB makes a 30-60-90 triangle with the wall.

AC makes a 45-45-90 triangle with the wall.

In a 30-60-90 triangle, the short leg (opposite of the 30° angle) is half the hypotenuse.

In a 45-45-90 triangle, the legs are the same length.

So the distance between the left wall and the laser is 60/2 = 30 m.

The distance between the right wall and the laser is 40 m.

The total distance is therefore 70 m.

6 0
3 years ago
Find the length of the line PA.
Diano4ka-milaya [45]

RO divides the rectangle into two congruent right triangles.

The area of the one triangle is equal half area of the rectangle.

Calculate the area of rectangle:

A_R=lw\\l=12,\ w=5\\\\A_R=12\cdot5=60

The area of right triangle:

A_T=\dfrac{1}{2}A_R\to A_T=\dfrac{1}{2}\cdot60=30

Use the Pythagorean theorem to calculate the length of RO:

|RO|^2=5^2+12^2\\\\|RO|^2=25+144\\\\|RO|^2=169\to|RO|=\sqrt{169}\to|RO|=13

The formula of an area of this right triangle is:

A_T=\dfrac{1}{2}|RO||PA|

Therefore we have the equation:

\dfrac{1}{2}(13)|PA|=30\qquad|\cdot2\\\\13|PA|=60\quad|:13\\\\|PA|=\dfrac{60}{13}\\\\|PA|\approx4.62

8 0
3 years ago
Find two positive numbers whose product is 36 and whose sum is a minimum.
alukav5142 [94]
Let one of the numbers be x. The other number cab then be represented as 36-x (x+36-x = 36).
The product can then be represented as y = x(36-x) or y=36x-x2

The maximum or minimum is always on the axis of symmetry which has the formula x=-b/2a.
In our case, the axis of symmetry is -36/-2, so x=18.

If one number is 18 and the 2 numbers add to 36, the other number is 18 as well.
So the 2 numbers are 18 and 18 and the maximum product is 324,
8 0
3 years ago
15 POINTS! GIVE REAL ANSWERS PLEASE. HELP WOULD BE MUCH APPRECIATED THANKS!
Anni [7]

Answer:

4(x + 3) / 4x + 12

Step-by-step explanation:

the image linked is showing 4 green whihc means 4x and 12 squares so I multiply 4 x 3 whihc is 12

6 0
3 years ago
Other questions:
  • Which of the following numbers is prime?
    5·2 answers
  • John Smith made a one year investment that generated a nominal return of 6% or $3000. The real return was $2000. What was the or
    9·1 answer
  • Helpppppp please !!?
    15·1 answer
  • If your teacher gave you instruction for constructing a regular pentagon inscribed in a circle, you would expect the pentagon to
    9·1 answer
  • What is equivalent to 9 out of 25
    15·1 answer
  • Briefly describe what the symbol mu represents. Choose the correct answer below.A.The symbol mu is a variable that represents th
    11·1 answer
  • I am a 2 dimensional shape that had 5 obtuse angles
    12·1 answer
  • Two side lengths of a triangle measure 3 and 9. What is the possible range for the third side length?​helppp
    10·1 answer
  • Find g(-6) if g(x) = -5x – 2
    11·1 answer
  • My question is in the picture
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!