Answer:
read the explanation
Step-by-step explanation:
the first one is positive 24 and the second one is -2
Supplementary, complementary, neither
Answer:
1. y = 11
x = -48
2. a =8
b= -10
3. x= 1
y= 2
Step-by-step explanation:
1 . 6x + 5y = 7
x-y= 3
6x+5y = 7
6x-6y =18
-1y = - 11
6x + 5y = 7
y = 11
6x + 55 = 7
6x = -48
x = -48
Answer:
<u>Secant</u>: a straight line that intersects a circle at two points.
<u>Intersecting Secants Theorem</u>
If two secant segments are drawn to the circle from one exterior point, the product of the measures of one secant segment and its external part is equal to the product of the measures of the other secant segment and its external part.
From inspection of the given diagram:
- M = Exterior point
- MK = secant segment and ML is its external part
- MS = secant segment and MN is its external part
Therefore:
⇒ ML · MK = MN · MS
Given:
- MK = (x + 15) + 6 = x + 21
- ML = 6
- MS = 7 + 11 = 18
- MN = 7
Substituting the given values into the formula and solving for x:
⇒ ML · MK = MN · MS
⇒ 6(x + 21) = 7 · 18
⇒ 6x + 126 = 126
⇒ 6x = 0
⇒ x = 0
Substituting the found value of x into the expression for KL:
⇒ KL = x + 15
⇒ KL = 0 + 15
⇒ KL = 15
The elimination method is a sufficient way to solve problems.
2x+y= 20
6x-5y=12
Add 5y to the one equation.
2x+6y= 20
6x= 12
Subtract 2x from both sides.
6y= 20
4x= 12
Divide 6 by 20.
y= 3.3
Divide 4 by 12.
x= 3
I hope this helped you!
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