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
grin007 [14]
3 years ago
14

MARKING BRAINLIESTTT!!! PLUS 30PTS EARNED!! HELP ASAPP PLZZZ!!!!

Mathematics
1 answer:
Elza [17]3 years ago
7 0

Answer:

  1.  9 < s < 17

  2.  5 < MN < 19

  3.  AD > BD

Step-by-step explanation:

1. The triangle inequality tells you the sum of any two sides of a triangle must exceed the length of the other side. (Some versions say, "must be not less than ..." rather than "must exceed.") In practice, this means two things:

  • the sum of the shortest two sides is greater than the length of the longest side
  • the length of any side lies between the sum and the difference of the other two sides

Here, we can use the latter fact to write the desired inequality. The difference of the given sides is 13 -4 = 9; their sum is 13 +4 = 17. The third side must lie between 9 and 17. If that side length is designated "s", then ...

  9 < s < 17

(If you don't mind a "triangle" that looks like a line segment, you can use ≤ instead of <.)

__

2. Same as (1) using different numbers.

  12 -7 < MN < 12 +7

  5 < MN < 19

__

3. Side CD is congruent to itself, and side CA is shown congruent to side CB. This means the requirements of the Hinge Theorem are met. That theorem tells you the longer side is opposite the greater angle:

  AD > BD

You might be interested in
Lily sees 15 tan puppies and 8 white puppies at the pet store how many more tan puppies does she see
IgorLugansk [536]
She sees 7 more than puppies (15 - 8 = 7)
3 0
2 years ago
The loudness L(x) measured in decibels, of a sound of intensity x, measured in watts per square meter, is defined as L(x)=10 log
Margaret [11]

If you can find your way through all the smoke of the definition,
you find that an increase of 10 times the intensity is an increase
of 10 dB.

Next, if you can find your way over, under, around, and through
all the speeds and distances of the vehicles, you'll find that you
don't need them.  Right in the middle of the pile, it says "intensity
10 times that of ...".  That right there tells you that the sound of
the truck is 10 dB louder than the sound of the car.

So the car is 70 dB (asked for, and then given), and the truck is 80 dB.


4 0
3 years ago
Graph the equation: y = x + 4. Label the slope and y-intercept on your graph
shtirl [24]
Here where you label the y and slope

7 0
3 years ago
David made a table to relate two customary units. Label the columns of the table
tigry1 [53]
The customary unit is add 16 each time hope  i help 
5 0
3 years ago
Read 2 more answers
Astronomers classified the planets into six sizes with five atmosphere types and four average temperature ranges. How many diffe
Phoenix [80]
Fire, ice, and inhabitants
4 0
2 years ago
Other questions:
  • The graph represents the function f(x) = x2 + 3x + 2.
    10·1 answer
  • Owen answered a set of math and history Quiz Bowl questions. Owen correctly answered 72%, percent of all the 200 questions. Howe
    6·1 answer
  • A sugar mixture has 3 parts water and 2 parts sugar. Suppose the chef adds one more part to each. What is the new ratio of sugar
    10·2 answers
  • Which statement is not always true for a parallelogram?
    13·2 answers
  • One of the world's largest popcorn balls has a volume of about 268 cubic feet. what is its radius? use 3.14 for pi. round your a
    14·2 answers
  • Write 8 4/5 as a decimal number
    8·2 answers
  • Alexis runs a small business and creates recordings of her friend’s skateboard stunts. She puts the recordings onto Instagram. S
    11·1 answer
  • Ez 5th grade math <br> ( don’t give me a link)<br> Giving brainlist if correct!
    8·2 answers
  • The Sine Function
    10·1 answer
  • There are 28 cookies in the cookie jar. 25% of them are oatmeal raisen. How many are are oatmeal raisen?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!