We have <span>isosceles ∆DEK
</span><span>EF is the angle bisector of ∠E,
m∠DEF = 43°= </span><span> m∠FEK ( the bisector divide the angle in two equal angles)
</span>
so m∠DEK = m∠DEF + <span> m∠FEK = 43 + 43 = 86
</span>
<span>∆DEK is isoceles triangle (given)
</span>the two base angles are equal m∠EDK = m∠DK<span>E
</span>and the sum of angles in a triangle = 180
so m∠DEK + m∠EDK+ m∠DKE<span> = 180
86 + </span>m∠EDK+ m∠DKE = <span> 180
2 x </span><span>m∠EDK = 94
</span><span>m∠EDK = 94 / 2 = 47
</span>
in triangle DEF
m∠EDF + m∠E FD+<span>m∠FED= 180
</span>
47 +<span>m∠E FD + 4 3 = 180
</span><span>m∠E FD = 180-43-47 = 90
</span><span>Find: KF?
</span>in an isoseles triangle the bisector is in the same time median so
KF= DK / 2 = 16/ 2 = 8 cm
Answer:
$231 over a 6 hour period
Step-by-step explanation:
the person is already making $35
10% of $35 is 3.50
$35 + $3.50 = $38.50 per hour
$38.50 x 6 hours = $231
Hello,
let's say x is a certain number
10*x+9+2x=633
12x=624
x=52
Proof:
529+104=633
Answer:
No, he isn't correct. I know this because
and it is less than
, it isnt equal.
Answer:
Step-by-step explanation:
d/dn(2 n^2 + 12 n + 18) = 4 (n + 3)
Indefinite integral:
integral(18 + 12 n + 2 n^2) dn = (2 n^3)/3 + 6 n^2 + 18 n + constant
Global minimum:
min{2 n^2 + 12 n + 18} = 0 at n = -3