Answer:

Step-by-step explanation:
Solve for the value of
:

-Subtract both sides by
:

So, the value of
is
.
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
Answer:
37.5
Step-by-step explanation:
50+160=210.
210 is a 31.25% increase from 160
Multiply 120 by 1.3125 to get 157.5
subtract 120 from 157.5 to get a 37.5km increase or a 31.25% increase :)
Problems are very often written in a confusing way. This one couldn't possibly have been
written any more clearly. Sooner or later, you have to stop telling yourself that you have
no clue, settle down, and carefully read the words that are right there on the page.
I'll tell you one more detail that's not in the problem: "breadth" means "width".
Now. The problem clearly tells you all of these things, in this exact order:
=> Area of the walls = (2 x height) x (length + width)
=> length = 8m
=> width = 6m
=> height = 2.5m
Is there a reason you can't take the numbers for length, width, and height,
and write them in the formula for the area ? Do I have to do all the work ?
Area = (2 x height) x (length + width)
Area = (2 x 2.5m ) x ( 8m + 6m )
Do the arithmetic inside the parentheses:
Area = ( 5m ) x ( 14m )
Do the multiplication:
Area = <u>70 m² .</u>
You will never see a problem that comes any closer to answering itself <em>for </em>you.