Answer:
d = 102° , e = 56° , f = 22°
Step-by-step explanation:
d and 102° are vertically opposite angles and congruent , so
d = 102°
e and 56° are vertically opposite angles and are congruent , so
e = 56°
f, d and e lie on a straight line and sum to 180° , then
f + d + e = 180° , that is
f + 102° + 56° = 180°
f + 158° = 180° ( subtract 158° from both sides )
f = 22°
#2) Use quotient rule

Remember for solving log equations:

#3) Derivative of tan = sec^2 = 1/cos^2
Domain of tan is [-pi/2, pi/2], only consider x values in that domain.
#4 Use Quotient rule
#9 Use double angle identity for tan

This way you can rewrite tan(pi/2) in terms of tan(pi/4).
Next use L'hopitals rule, which says the limit of indeterminate form(0/0) equals limit of quotient of derivatives of top/bottom of fraction.
Take derivative of both top part and bottom part separately, then reevaluate the limit. <span />
19) 15/a = 3/2
Start by cross multiplying....
3a = 30
Divide both sides 3
a = 10
21) 2/7 = 4/d
2d = 28
d= 14
23) 8/p = 3/10
80 = 3p
p = 26.66
25) 2 / -5 = 6/t
2t = -30
t = -15
Answer:
no bc they r swapped and 40 is higher
Step-by-step explanation:
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