(provided that 
)
Then
(just moving around a factor of 
)
(multiply by 
)
Answer:
120°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5 since a pentagon has 5 sides, thus
sum = 180° × 3 = 540°
let x be the measure of the 3 equal angles
Sum the interior angles and equate to 540
112 + 68 + 3x = 540, that is
180 + 3x = 540 ( subtract 180 from both sides )
3x = 360 ( divide both sides by 3 )
x = 120
Hence the measure of each equal interior angle is 120°
Answer:
B
Step-by-step explanation:
Given the 2 equations
- 2x = 4y + 6 → (1)
2(2y + 3) = 3x - 5 → (2)
Distribute left side of (2)
4y + 6 = 3x - 5 → (2)
Substitute 4y + 6 = - 2x into (2)
- 2x = 3x - 5 ( subtract 3x from both sides )
- 5x = - 5 ( divide both sides by - 5 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for y
Substituting into (1)
- 2(1) = 4y + 6
- 2 = 4y + 6 ( subtract 6 from both sides )
- 8 = 4y ( divide both sides by 4 )
y = - 2
Solution is (1, - 2 ) → B
Let the second score = x
⇒ second score = x
<span>the first is 14 points more than the second
</span>⇒ first score = x + 14
<span>the sum of the first two is 6 more than twice the third
</span>⇒ third score = 1/2 (x + x + 14 - 6) = x + 4
<span>The sum of a student's three score is 246
</span>⇒ x + (x + 14) + (x + 4) = 246
<span>
Solve x:
</span>x + x + 14 + x + 4 = 246
3x + 18 = 246
3x = 228
x = 76
second score = x = 76
first score = x + 14 = 76 + 14 = 90
Answer: 90
Apply the "FOIL" method here. (m+1)(m+1) = m^2 + 1m + 1m + 1, or m^2 + 2m + 1.
