Answer:
x= - 35 over 89
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2
7
x−23+5x=18(x−1)
2
7
x+−23+5x=(18)(x)+(18)(−1)(Distribute)
2
7
x+−23+5x=18x+−18
(
2
7
x+5x)+(−23)=18x−18(Combine Like Terms)
37
7
x+−23=18x−1837
7
x−23=18x−18
Step 2: Subtract 18x from both sides.
37
7
x−23−18x=18x−18−18x
−89
7
x−23=−18
Step 3: Add 23 to both sides.
−89
7
x−23+23=−18+23
−89
7
x=5
Step 4: Multiply both sides by 7/(-89).
(
7
−89
)*(
−89
7
x)=(
7
−89
)*(5)
x=
−35
89
Step-by-step explanation:
Answer:
y = 81°
Step-by-step explanation:
let the 5 th angle in the pentagon be x
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5, then
sum = 180° × 3 = 540°
sum the angles and equate to 540
x + 95 + 125 + 116 + 105 = 540
x + 441 = 540 ( subtract 441 from 540 )
x = 99°
x and y are adjacent angles and supplementary, sum to 180° , that is
x + y = 180°
99° + y = 180° ( subtract 99° from both sides )
y = 81°
Answer:
Option 1) p ←→ q
Step-by-step explanation:
The given statement is a combination of two phrases with a connective word.
Phrase 1 - The Fratellis will be arrested.
We consider this phrase as phrase p.
Phrase 2 - If the police believe chunk.
Phrase q.
Now these statements p and q are connected with a connecting word "If only and only".
When two phrases are connected by the connecting words "Only and only if", this connecting word is called as biconditional operator.
p (connecting word) q
p ( If and only if) q
p ←→ q
Therefore, Option 1) p ←→ q is the answer.
Answer:
True
Step-by-step explanation:
Answer:
10 5/12
When the numerator is larger than the denominator, we take groups of whole fractions (The numerator and denominator are equal) and add 1 to the whole number for each group. Whatever remains when we no longer have the numerator larger than the denominator is left as a fraction.
Step-by-step explanation:
6 3/4 + 3 2/3
We need to get a common denominator
The common denominator is 12
We need to rename the fractional parts to out of 12
6 3/4 = 6 3/4*3/3 = 6 9/12
3 2/3 = 3 2/3*4/4 = 3 8/12
6 9/12+ 3 8/12
9 17/12
But the numerator is larger than the denominator
We take 12/12 from the fraction and add it to the whole number
9 17/12-12/12 +1
9+1 5/12
10 5/12
