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
If you are distributing 3(2x-6) then you would do it this way:
(3 x 2x)(3 x (-6))
(6x) (-18)
6x-18 (you can simplify this by dividing by 6)
x-6 would be your answer but I don't see it as one of the options. Are all of these options typed out correctly?
Answer:
Step-by-step explanation:
The figure is a cube
The surface area of a cube is equal to
where
b is the length side of the cube
In this problem we have
substitute
Answer:
1.
a burger costs $5
an order of fries costs $3
2.
7 pennies
14 nickels
23 dimes
Step-by-step explanation:
x = price of a burger
y = price of a order of fries
5x + 3y = 34
4x + 4y = 32
=>
x + y = 8
x = 8-y
5×(8-y) + 3y = 34
40 - 5y + 3y = 34
-2y = -6
y = $3
x = 8 - 3 = $5
x = number of pennies
y = number of nickels
z = number of dimes
0.01×x + 0.05×y + 0.1×z = 3.07
y = 2x
x + y + z = 44
x + 2x + z = 44
3x + z = 44
z = 44 - 3x
0.01×x + 0.05×2x + 0.1×z = 3.07
0.11×x + 0.1×z = 3.07
0.11×x + 0.1×(44-3x) = 3.07
11x + 10×(44-3x) = 307
11x + 440 - 30x = 307
-19x = -133
x = 7
y = 2×7 = 14
z = 44 - 3×7 = 44 - 21 = 23
Answer:
1.309 radians is the measure to 75
