Step-by-step explanation:
by deleting
9y = -9
y = -1
6x - 4 = -10
6x = -6 then x = -1
Answer:
m∠ABE = 27°
Step-by-step explanation:
* Lets look to the figure to solve the problem
- AC is a line
- Ray BF intersects the line AC at B
- Ray BF ⊥ line AC
∴ ∠ABF and ∠CBF are right angles
∴ m∠ABF = m∠CBF = 90°
- Rays BE and BD intersect the line AC at B
∵ m∠ABE = m∠DBE ⇒ have same symbol on the figure
∴ BE is the bisector of angle ABD
∵ m∠EBF = 117°
∵ m∠EBF = m∠ABE + m∠ABF
∵ m∠ABF = 90°
∴ 117° = m∠ABE + 90°
- Subtract 90 from both sides
∴ m∠ABE = 27°
Answer:
√89
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(9 - 1)² + [-6 - (-1)]²
√(8)² + (-5)²
√64 + 25
√89
(35 + 47 + 42 + x) / 4 = 50
(124 + x) / 4 = 50....multiply both sides by 4, cancelling the 4 on the left side.
124 + x = 50 * 4
124 + x = 200
x = 200 - 124
x = 76 <===
Answer & Step-by-step explanation:
2a - b : 2a + b = 1 : 2
2a - b = 1
- Elimination
2a + b = 2
-b - (b) = -1
-2b = -1
b = 0.5
---------------------------------------------------------------------------------
2a + b = 2 Substitution
2a + 0.5 = 2
2a = 1.5
a = 0.75
--------------------------------------------------------------------------------------
a:b
0.75 : 0.5
or
3/4 : 1/2
Hope this helps!!!
