Answer:
m∠ABE = 129 degrees
Step-by-step explanation:
360 degrees = max/total degrees in a circle
Given angles = 65 degrees & 37 degrees
Unknown/congruent angles = m∠ABE & m∠DBC
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That was just information for the shape!
Now let’s get into the question.
Question: Find the measurement of m∠ABE
65 + 37 + m∠ABE + m∠DBC = 360 degrees
Add 65 and 37
102 + m∠ABE + m∠DBC = 360 degrees
Subtract 102 from 360 degrees
m∠ABE + m∠DBC = 258 degrees
Divide 258 in half
m∠ABE & m∠DBC = 129 degrees
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Therefore m∠ABE = 129 degrees
For this case you have the following advantages:
1) you can see the graph of both equations
2) you can see where the equations intersect
3) the point of intersection represents the solution to the system of equations.
4) You can solve the problem in much less time than doing it by hand
5) You can find very accurate solutions.
2(-3)-(-3)(4) = -6-(-12) = -6+12 = 6
Area = length X width
A = L(12 ft) x W(9 ft) but since the cost of carpet is given in square yards not square feet we need to convert
A = (12 ft)(1 yd/3 ft) x (9 ft)(1 yd/3 ft) 1 yard = 3 feet so 1 foot = 1/3 yard
A = 4 yd x 3 yd divide by 3 ft which cancels the original ft and leaves yd's
A = 12 square yards
Cost = Area x price per yard
Cost = 12 sq yd X $35.00/ sq yd multiply and the sq yd's cancel leaving just cost in dollars
Cost = $420.00
