Step-by-step explanation:
By Intersecting Chords Theorem,
9 * 4x = 8 * (4x + 2).
=> 36x = 32x + 16
=> 4x = 16, x = 4. (2)
Answer:
D: 0.75

Step-by-step explanation:
<u>Explanation</u>:-
<u><em>Independent events:</em></u>
If the occurrence of the event 'B' is not effected by the occurrence or non- occurrence of the event 'A' then the event 'B' is said to be independent of 'A'
or
<em>The two events are independent if the incidence of one event is not affect the probability of other event.</em>
<em>P(A∩B) = P(A) P(B)</em>
Given data A and B are independent events
Given data

we know that A and B are independent events are
P(A∩B) = P(A) P(B)

Now calculation we get

<u><em>Final answer:</em></u>-

9514 1404 393
Answer:
x = 10; WX = 5; HJ = 10
Step-by-step explanation:
The hash marks indicate that points W and X are midpoints of their respective segments. That makes WX a midline of the triangle. The midline is always half the length of the base (HJ). We can use this fact to write an equation relating the lengths.
HJ = 2·WX
x = 2(x -5) . . . .substitute the given expressions
x = 2x -10 . . . . eliminate parentheses
10 = x . . . . . . . add 10-x to both sides
This value of x tells you that ...
HJ = x = 10
WX = x -5 = 5
X(x+18) <= 175
<span>x^2+18x-175 <= 0 </span>
<span>(x+25)(x-7) <= 0 </span>
<span>So, -25 <= x <= 7 </span>
<span>Or, for real-world tables, </span>
Answer:
The volume of the solid is 
Step-by-step explanation:
1. Cylinder
For find the volume of a cylinder we use the next formula:

Then the volume of the cylinder is equal to 
2. Cones
For find the volume of a cone we use the next formula:

However there are two cones so we have to multiply the volume of one cone for two and we get the total volume for the cones which is 
3. Sum of the volumes
Finally we sum the volumes of the cylinder and the cones for get the final result

So approximating the result is 