Answer:
53°
Step-by-step explanation:
It is given that the total measurement of the two angles combined would equate to 116°.
It is also given that m∠WXY is 10° more then m∠ZXY.
Set the system of equation:
m∠1 + m∠2 = 116°
m∠1 = m∠2 + 10°
First, plug in "m∠2 + 10" for m∠1 in the first equation:
m∠1 + m∠2 = 116°
(m∠2 + 10) + m∠2 = 116°
Simplify. Combine like terms:
2(m∠2) + 10 = 116
Next, isolate the <em>variable</em>, m∠2. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 10 from both sides of the equation:
2(m∠2) + 10 (-10) = 116 (-10)
2(m∠2) = 116 - 10
2(m∠2) = 106
Next, divide 2 from both sides of the equation:
(2(m∠2))/2 = (106)/2
m∠2 = 106/2 = 53°
53° is your answer.
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Answer:
$30341.88
Step-by-step explanation:
Because it says simple interest, use the formula I = Prt.
(I is interest, r is the % rate as a decimal, t is the time)
So, you have to solve the equation,
1755 = P (0.065)(9)
Since 0.065 x 9 = 0.585, the equation can be simplified to
1755 = 0.585P
Then, to get P, you divide both sides by 0.585
P = 1755/0.585 = $30341.88
Answer:
$197.80
Step-by-step explanation:
$931.00 - $139.80 = $791.20
$791.20 / 4 equal installments = $197.80
Answer:
Other number is 278.
Step-by-step explanation:
Given that
a + b = 981
One of the numbers = 703
We assume that it is a ; So
a = 703
Other number = b = ?
Put value of a in a + b
a + b = 981
703 + b = 981
b = 278
