Answer:
3/5
Step-by-step explanation:
9/10 and 2/3 can cross cancel
3 goes into 9, 3 times
2 goes into 10, 5 times
they both go into themselves once
our new fractions are 3/5 and 1/1 which equals 3/5
a). 0.45 with a line over the 45 means 0.45454545454545... forever.
It's equivalent to 45/99 which is <em>5/11</em> .
b). 0.45 with a line over the 5 means 0.455555555... forever.
It's equivalent to (0.4 + 0.555555.../10)
The 0.4 part is 4/10
The 0.5555555555.../10 part is 5/90 .
(4/10) + (5/90) = <em>41/90 </em>
c). 0.45 means 45/100 . That's <em> 9/20</em> .
I don't think you're supposed to be posting unit test questions on Brainly.
Answer:

Step-by-step explanation:
Hello There!
The angle labeled 6x is a right angle
If an angle is formed using the diameter of a circle then the opposite angle of that side is a right angle
So 6x = 90
isolate the variable
divide each side by 6
90/6= 15
6x/6=x
we're left with x = 15
<span>By similarity of triangles we have the following relationship:</span>
<span> (x) / (6) = (18) / (9)</span>
<span> Simplifying we have:</span>
<span> (x) / (6) = 2</span>
<span> Clearing the value of x we have:</span>
<span><span> x = 6 * 2</span></span>
<span><span> X = 12</span></span>
<span><span> Answer:</span></span>
<span><span> The value of x for this case is equal to:</span></span>
<span><span> <span>X = 12</span></span>
</span>