Answer:
x+y=2
Step-by-step explanation:
Standard Form: ax+by=c
For most convenience start with slope-intercept form: y=mx+b
1. -1 = -1(3)+b - solve for b
b=2
y= -1x+2 (slope-intercept form)
2. Now convert to standard form
Add 1x to both sides:
1x+y=2
Answer:
#11-13: 118 , 97 , 62
#7-10: 92 , 125 , 56 , 130
Step-by-step explanation:
#11. Supplementary angles (A + B = 180)
- (n + 7) + (3n - 47) = 180
- n = 55
- <ABC = 3(55) - 47 = 118 degrees
#12. Supplementary angles
- 83 + x = 180
- x = 97
- <ABC = 97 degrees
#13. Congruent angles (A = B)
- (8x - 34) = (5x +2)
- x = 12
- <DEF = 5 (12) + 2 = 62 degrees
#7. Congruent angles
- (3x +23) = 4x
- x = 23
- <ABC = 4(23) = 92 degrees
#8. Congruent angles
- 5x = (3x + 50)
- x = 25
- <MPQ = 3(25) + 50 = 125 degrees
#9. Congruent angles
- (a + 28) = 2a
- a = 28
- <MNP = (28) + 28 = 56 degrees
#10. Congruent angles
- 5y = (2y + 78)
- y = 26
- <WXZ = 5(26) = 130 degrees
I hope this helps!
Line 1 to 2: Commutative Property of Multiplication, because all that changed was the order of the things being multiplied.
Line 2 to 3: Commutative Property of *Addition*, because all that changed was the order of the things being added.
All that changed in either step was the ordering of the things being multiplied or added. That’s the commutative property.
Sum of interior angles of a △ = 180°
∴ ∠T + ∠V + ∠U = 180°
⇒ 37° + 63° + X° = 180°
⇒ X° + 100 = 180°
⇒ X° = 180° - 100°
⇒ X° = 80° (D).
Answer:
part A :BODMAS ( Bracket of Division Multiplication Addition Subtraction )
part b; Bracket (2+3.2) = - 2- 3.2
= 16- 2-3.2 +30-5
ADDITION:-3.2+30 = - 33.2
16-2(-33.2)30-5
14-33.2 +30-5
14-33.2 +25
-19.2+25
-44.2
Step-by-step explanation:
THE FOLLOWING EQUATION CAN ONLY BE SOLVED USING BODMAS