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
Quickly using a calculator (or long division) reveals that 191/238=<span>0.8025=80.25%, which is close to 80%=4/5
Similarly, 106/160=0.6625=66.25%, which is close to 66.67%=2/3</span>
Answer:
Step-by-step explanation:
we know that
In a parallelogram opposite sides are equal and parallel
The figure FHJM is a parallelogram
so
therefore
By applying the knowledge of similar triangles, the lengths of AE and AB are:
a. 
b. 
<em>See the image in the attachment for the referred diagram.</em>
<em />
- The two triangles, triangle AEC and triangle BDC are similar triangles.
- Therefore, the ratio of the corresponding sides of triangles AEC and BDC will be the same.
<em>This implies that</em>:
<em><u>Given:</u></em>
<u>a. </u><u>Find the length of </u><u>AE</u><u>:</u>
EC/DC = AE/DB
<u>b. </u><u>Find the length of </u><u>AB:</u>
AC = 6.15 cm
To find BC, use AC/BC = EC/DC.
Therefore, by applying the knowledge of similar triangles, the lengths of AE and AB are:
a.
b.
Learn more here:
brainly.com/question/14327552
Answer:
Domain: (
−
∞
,
∞
)
, {
x
|
x
∈
R}
Range: (
−
∞
,
∞
)
, {
y
|
y
∈
R}
Step-by-step explanation:
We can simplify to understand how to answer the question better.
<em>5 * 11x = 55x</em>
<u>Function range definition:</u><u> </u>
The set of values of the dependent variable for which a function is defined.
- The range of polynomials with odd degree is all real numbers.
<u>So the solution is.. </u>
-∞<x<
∞
<u>And the interval notation is..</u>
(-
∞.
∞)
