Answer:
(19 , -14)
Step-by-step explanation:
Find the distance in between each x & y for a coordinate.
Let: (x₁ , y₁) = (-1 , 2)
Let: (x₂ , y₂) = (9 , -6)
From x₁ ⇒ x₂: 9 - (-1) = 10
From y₁ ⇒ y₂: -6 - 2 = -8 = 8*
*Remember that distance cannot be negative, but for the sake of this question, we will leave it as -8.
The distance between the x points are in intervals of 10. The distance between the y points are in intervals of 8. Add 10 & subtract 8 to their respective numbers to get endpoint 2:
(9 (+ 10) , -6 (- 8)) = (19 , -14)
Endpoint 2 = (19 , -14)
~
Since ∠E and ∠F are vertical angles, they are congruent, meaning that m∠E = m∠F
Plugging in the equations that were originally given, we can form the equation 9x + 12 = 3x + 24
Subtract both sides of the equation by 3x
6x + 12 = 24
Subtract 12 from both sides
6x = 12
Divide both sides by 6
x = 2
This should be your answer. Have an awesome day! :)
Answer:
the substitution method is one way to solve linear equation. the substitution method is when substitute the one y value with the other:
example :
x+y=10
y=10-x ( value of y)
2x+y=12 ( substitute the value of y in the equation )
2x+(10-x)=12
2x+10-x=12 ( now solve for x)
x=12-10
x=2 ( substitute the value of x in the equation x+y=10)
x+y=10
2+y=10
y=10-2
y=8
( i hope it helps)
Answer:
x = 1.5
Step-by-step explanation:
using the sine ratio in the right triangle and the exact value
sin60° = 
, then
sin60° = 
= 
= ( cross- multiply )
2x = 3 ( divide both sides by 2 )
x = 1.5
