In elimination method you add/subtract both equations to cancel out a variable so you can solve for 1 variable.
since there is +y in the first equation and +y in the second equation, you can subtract both equations from eachother to only be left with x values:
(2x+y=11) (subtract each term)
- (x+y=9)
you get x=2.
now sub in x=2 to any of the 2 equations to find what y is.
2(2)+y=11
y=7
so the answer is (2,7) which means the 2 lines intersect at the point (2,7)
Answer:
No, he should have set the sum of ∠AED and ∠DEC equal to 180°, rather then setting ∠AED and ∠DEC equal to each other.
Step-by-step explanation:
He was using the measurements of m∠AED & m∠CED, which are supplementary angles, not vertical angles (therefore making them, when combined, equal to 180°).
If they were vertical angles (at the case of m∠AED & m∠BEC, or the other pair), then yes, they will be congruent. But in this case, they are not, so you don't solve it like they are vertical angles.
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Answer:
See below
Step-by-step explanation:
Center: (-3, 4)
radius = r =
= 5
diameter = 2r = 10
Answer:
Step-by-step explanation:
slope-intercept form: y = mx + b
y = (x , y)
x = (x , y)
m = slope = 1/2
b = y-intercept = 89
Plug in the corresponding numbers & variables to the corresponding variables:
y = (1/2)x + 89
is your answer.
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