If we write out the expression √4√6/√3√2, then we get the solution to the surd as 2.
<h3>What is a surd?</h3>
A surd is an irrational number which is often shown as a square root. In this case, we have the value; √4√6/√3√2.
This is the same as; 2√6/√6. This now implies that we can cancel out the surd form which is shown as √6 hence the result of the expression is 2.
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Answer:
20x - 8
Step-by-step explanation:
Since we have the length and height of the rectangle we just multiply each by 2. This is because the length is the same on both sides and the height is too. The equation would look like this:
(5x-4 + 5x -4) + (5x +5x) = 10x -8 + 10 x = 20x -8
Answer: y-5=2/3(x-2)
Step-by-step explanation:
Point-slope formula: y-y1=m(x-x1)
M=slope
Slope is 2/3
Plug in your x and y
Total number of sections on the spinner = 4
So there can be 4 outcomes on 1 spin of the arrow on the arrow.
Number of faces of the cube = 6
So there can be 6 outcomes on rolling of the dice.
For each outcome of the spinner, there can be 6 outcomes of rolling a dice. So for 4 outcomes of the spinner, there will be 6 x 4 = 24 outcomes in total.
For example, WW and either of {1,2,3,4,5,6} can occur. This makes folloiwng 6 outcomes: WW1, WW2, WW3, WW4, WW5 and WW6
Same goes for XX (6 outcomes), YY (6 outcomes) and ZZ (6 outcomes)
Thus in total there will be 24 outcomes.
So option j gives the correct answer
Answer:
Option D is correct.
The measure of 
Step-by-step explanation:
is isosceles and 
and 
are base angles.
Isosceles Triangle:
A triangle with two equal sides, and two congruent base angles that means the angles are equal
By the definition, the base angles are equal i.e, 
Since, YZ bisects 
Angle Bisector theorem: An angle bisector is a line or ray that divides an angle into two equal angles
then, 
or
Substitute the value of 
;
The sum of measures of these three angles of triangle WXY is equal to the 180 degree.
In triangle WXY we have;
Substitute the value of 
and 
in above formula:
or
Simplify:
Combine like terms ;
or
Simplify;
Substitute the value of x in 
;
Therefore, the measure of
