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
Which statement is true about this data set? {43, 46, 48, 57, 42, 47, 48, 44, 46, 45, 48}
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Answer: D) 57
Step-by-step explanation:
X=numerator
y=denominator
the sum of numerator and denominator=x+y
we suggest this system of equations:
y=x-3
(x+5) / (y+5)=5/6
we solve this system of equation by substitution method.
(x+5) / (x-3+5)=5/6
(x+5) / (x+2)=5/6
6(x+5)=5(x+2)
6x+30=5x+10
6x-5x=10-30
x=-20
y=x-3=-20-3=-23
Teh sum of the numerator an denominator=-20+(-23)=-43
Answer: -43
