2 angles are Complementary, if the sum of their measures = 90°.
Let the 2 angles be A and B, and let their measures be m(A)=a, m(B)=b.
Let A be the larger angle.
"the larger angle is six more than three times the smaller angle."
can be 'translated' into algebra as: a = 6 + 3b
Also, since A and B are complementary, we have a+b=90°.
substitute a=6+3b in the second equation:
a+b=90°
(6°+3b+b)=90°
4b=90°-6°
b=84°/4=21°
Then, a = 90°-21°=69°
Answer: a= 69°, b=21°
Area = *Longer Side* x *Shorter side*
44 = (x + 7) * x
44 = x^2 + 7x
0 = x^2 + 7x - 44
0 = (x + 11)(x - 4)
0 = x + 11 OR 0 = x - 4
x = -11*impossible* OR x = 4
So x = 4
Answer: 22
Step-by-step explanation:
just plug in 5 Hope I help u
Answer:
6m-mn, or 5m-n.
7y+42+5y+30, or 12y+72.
Not sure exactly what you're asking for the third and fourth, but these are the first two simplified.
ANSWER IS 5
so
how many years ago=x
so
'in how many years ago (-x) was ethan 5 times older than son
40-x means ethan's age x years ago
12-x means son's age x years ago
so
ethan's age x years ago is 5 times as much as son's age 5 years ago
40-x=5(12-x)
distribute using a(b+c)=ab+ac
40-x=60-5x
add 5x
40+4x=60
subtract 40
4x=20
divide 4
x=5
ANSWER IS 5 years
