A triangle can only have at most one right angle.
Here's a proof that shows why this is so:
We know that the sum of all interior angles of a triangle must add up to 180.
Let's say the interior angles are A, B, and C
A + B + C = 180
Let's show that having two right angles is impossible
Let A = B = 90
90 + 90 + C = 180
180 + C = 180
Subtract 180 from both sides
C = 0
We cannot have an angle with 0 degrees in a triangle. Thus, it is impossible to have 2 right angles in a triangle.
Let's try to show that it's impossible to have 3 right angles
Let A = B = C = 90
90 + 90 + 90 = 180 ?
270 ≠ 180
Thus it's impossible to have 3 right angles as well.
Let's show that is possible to have 1 right angle
Let A = 90
90 + B + C = 180
Subtract both sides by 90
B + C = 90
There are values of B and C that will make this true. Thus, a triangle can have at most one right angle.
Have an awesome day! :)
Answer:
11.9
Step-by-step explanation:
The tenth place is the first decimal. You round down from 1-4 and up from 5-9, so round up.
11.9
Answer:
$270
Step-by-step explanation:
We are given;
- The rate of increase is 8%
- The new amount is $250
We need to determine the value in the next year with the same rate of increase;
Therefore;
250% = 100%
New amount = 100 + 8 = 108%
Therefore;
New amount = (250 × 108)÷ 100
= $270
Therefore, the value in the next year is $270
Answer:
X=78
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
-2.5y + 8y - 10.5
= 5.5y - 10.5y
= -5y
The coefficient of the variable y is -5.
