The two labeled angles are alternate interior angles, and as such, they are the same.
From this result you can build the equation
and solve it for x: subtract 13x from both sides to get
and add 2 to both sides to get
Check: if we plug the value we found we have
So the angles are actually the same, as requested.
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
Answer:
y = -4x
Step-by-step explanation:
y = mx+c
gradient, m
= (4-0)/(-1-0)
= -4
y-intercept, c
= 0
y = -4x+0
y = -4x
Well you could do 8 apple and 3 oranges per box since there are 64 apples and 24 oranges. You can either use trial and error to see what what values give you an answer of 8 for each amount of fruit. Or you can find the greatest common factor which happens to be 8 in this case, and divide each by that can come to the conclusion that 8 apples go into 8 boxes and 3 oranges do into 8 boxes Over all the answer would be 8 apples and oranges per each box, to have a total number of 8 boxes.
I hope this helps!
I believe it would be 5.1 if this is incorrect then I’m so sorry
