Answer:
M∠DEC equals 123º.
Step-by-step explanation:
The sum of a triangle's three angles always equal 180º. The exterior angle, x, equals the two non-adjacent interior angles.
180 - {(x - 45)+(x - 12)} = m∠DEC
m∠DEC + x = 180
<u>(x - 45) + (x - 12) = x</u>
Solving for x:
(x - 45) + (x - 12) = x
x - 45 + x - 12 = x Remove parenthesis
2x - 57 = x Combine like terms
2x = x + 57 Add 57 to both sides
<u>x = 57</u><u> Subtract x from both sides</u>
Finding m∠D:
x - 45 = ?
<u>57 - 45 = </u><u>12º </u>
Finding m∠C:
x - 12 = ?
<u>57 - 12 = </u><u>45º </u>
<em>** </em><em>(Checking x: 12 + 45 = 57) </em><em>**</em>
<em>Finding </em>m∠DEC:
AC is a straight line, and because straight lines are equivalent to 180º, we subtract 57 from 180:
180 - 57 = 123º
Hope this helps,
❤<em>A.W.E.</em><u><em>S.W.A.N.</em></u>❤
Step-by-step explanation:
The awnser is -6+6 because it would end up being 0, which is not positive nor negative
A horizontal translation is expressed by transforming
If 
is positive, the function is translated to the left. If is negative, the function is translated to the right.
So, a 3-units left shift is given by 
. So you have
Answer:
The answer to the problem is True
For this case we have that every rectangle traingule complies with the Pythagorean theorem:
Where:
c: It is the hypotenuse
b: It's the base
a: It's the height
It is noted that if we replace:
So, we have 
If we evaluate the other options we will obtain wrong results.
Thus, a rectangle triangle can have measurements of:
66 in, 88 in and 110 in respectively
Answer:
Option b
