Answer:
1 1/6
Step-by-step explanation:
the first step is to find the common denominator
so the easy on is six
take 2/3 and times it by 2
and take 1/2 and times it by three
getting 4/6+3/6
Which equals 7/6 or 1 1/6
Answer: a=5+√5
b=5-√5
Step-by-step explanation:
a=?
b=?
P=20
A=20
P=a*b=20
A=a+b=20
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ab=20
a+b=10
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a=10-b
(10-b)b=20
-b²+10b-20=0
b=-10±√100-80/-2
b=-10±√20/-2
b=-10±2√5/-2
b=-10-2√5/-2=5+√55
b=5-√5
a+b=10
a+5-√5=10
a=5+√5
a+5+√5=10
a=5-√5
Answer:
x = 36°
Step-by-step explanation:
The sum of the exterior angles of a pentagon is always 360°. Since the pentagon is regular, meaning that all of its sides and interior angles are congruent, we know that all of the exterior angles are also congruent. Since a pentagon has 5 sides, we know that there are 5 congruent exterior angles, therefore:
5 * 2x = 360
10x = 360
x = 36°
Answer:
#3=51. #5=85
Step-by-step explanation:
#3. PEMDAS
(2-10×6)-7
PARENTHESIS FIRST
MULTIPLICATION FIRST
10×6=60
60-2=58
58-7=51
#5. PEMDAS
(12-11)+12×7
PARENTHESIS FIRST
12-11=1
1+12×7
MULTIPLICATION FIRST
12×7=84
84+1=85
Answer:
-17x - 27
Step-by-step explanation:
Distributive property is the multiplication of the number outside the parenthesis and the ones inside.
-5(x + 4) + -3x + -9x + -7
-5x - 20 + -3x + -9x + -7
Combine like terms:
-5x - 20 + -3x + -9x + -7
-5x +-3x
-8x + -9x
-17x
-17x - 20 + -7
-20 + -7
-27
The answer is -17x - 27
Hope this helped.
