Answer:
x = 6
Step-by-step explanation:
Since the triangle is equilateral then sides are congruent.
Equate any 2 sides and solve for x
13x + 5 = 8x + 35 ( subtract 8x from both sides )
5x + 5 = 35 ( subtract 5 from both sides )
5x = 30 ( divide both sides by 5 )
x = 6
JK = (13 × 6) + 5 = 78 + 5 = 83
KL = (17 × 6) - 19 = 102 - 19 = 83
JL = (8 × 6) + 35 = 48 + 35 = 83
ΔJKL is equilateral with side = 83
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 equivalent expression for [gofoh](9) is 5(32(9)^5-1).
According to the given question.
We have three functions
f(x) = x^5 - 1
g(x) = 5x^2
h(x) = 2x
Here, we have to find the equivalent expression for [gofoh](9).
so,
gofoh(x)
= g((2x)^5 -1)
= g(32x^5 -1)
= 5(32x^5 -1)
Therefore,
gofoh(9)
= 5(32(9)^5-1)
Hence, the equivalent expression for [gofoh](9) is 5(32(9)^5-1).
Find out more information about equiavlent expression here:
brainly.com/question/28170201
#SPJ4
