Answer:
∠ B = 19°
Step-by-step explanation:
note ∠ C = 90° ( angle in a semi- circle )
The sum of the 3 angles in the triangle = 180°, thus
∠ B = 180° - (90 + 71)° = 180° - 161° = 19°
You could use an equation like y=6x
Answer:
48
Step-by-step explanation:
(204-x)/2=78
or, 204-x=156
or, x=204-156
or, x=48
To factor quadratic equations of the form ax^2+bx+c=y, you must find two values, j and k, which satisfy two conditions.
jk=ac and j+k=b
The you replace the single linear term bx with jx and kx. Finally then you factor the first pair of terms and the second pair of terms. In this problem...
2k^2-5k-18=0
2k^2+4k-9k-18=0
2k(k+2)-9(k+2)=0
(2k-9)(k+2)=0
so k=-2 and 9/2
k=(-2, 4.5)