Dude its way too hard seriously
Answer:
x = 70, y = 90
Step-by-step explanation:
A straight line is equal to 180 degrees, so if 180 is split between 110 and x. Subtract the 110 to get the rest. 180-110 = 70.
All sides in a quadrilateral add up to 360 degrees, add all of the remaining angles (112+88+70) to get 270. 360-270 = 90 degrees. Y is 90 degrees.
Answer:
$449.77
Step-by-step explanation:
The balance in account 1 can be found using the simple interest formula.
A = P(1 +rt)
A = $300(1 +0.045·3) = $340.50
The balance for account 2 can be found using the compound interest formula.
A = P(1 +r)^t
A = $100(1.03)^3 = $109.27
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Darla's total balance will be ...
$340.50 +109.27 = $449.77
Let the train's original speed be s. Recall that distance = (speed)(time). Here, 150 miles = s(time), or 150 = s*t. If its original speed is increased by 5 mph, then the time required tomake the trip is 1 hour less than before;
distance = speed times time, so
150 mi = (s+5)(t-1). Let's eliminate t and solve for s:
Since 150 = s*t, t = 150/s. Subbing 150/s for t in the 2nd equation, we get:
150 s
150 mi = (s+5)(150/s - 1), or 150 = (s+5)(------- - ---- )
s s
Mult. both sides by s to elim. the fraction(s):
150s = (s+5)(150 - s)
Then 150s = 150s - s^2 + 750 - 5s, or
0 = -s^2 - 5s + 750
or 0 = s^2 + 5s - 750
Thus, 0 = (s-25)(s+30), and the roots are s=25 and-30. Only a positive original speed makes sense, so the answer is s = 25 mph.