Hello,
Please, see the attached files.
Thanks.
Answer:
<em>m∠EBC = 34° </em>
Step-by-step explanation:
m∠DBC = m∠DBE + m∠ EBC
m∠DBC - m∠DBE = m∠EBC
(12x - 3)° - (5x + 12)° = (3x + 13)°
12x - 5x - 3 - 12 = 3x + 13
4x = 28
x = 7
<em>m∠EBC </em>= (3(7) + 13)° <em>= 34° </em>
9514 1404 393
Answer:
a) no
b) yes
c) maybe (no)
Step-by-step explanation:
There are two versions of the triangle inequality. One requires ...
a + b > c
for any triple of side measures a, b, c.
The other allows ...
a + b ≥ c
which admits "triangles" that have zero height and look like line segments.
Most questions asking "do these lengths form a triangle" are concerned with the "greater than" case, and disallow the "or equal to" case.
__
a)

b)

c)

Answer:
45 degrees
Step-by-step explanation:
Since we have a right triangle, we use the appropriate trigonometric ratio
The angle marked P faces QR and that makes it the opposite side
PR faces the right angle and that makes it the hypotenuse
The trigonometric ratio that links the opposite and the hypotenuse is the sine
It is the ratio of the opposite to the hypotenuse
Thus;
sin P = √26/2 √13
Sin P = √2/2
P = arc sin √2/2
P = 45 degrees