Answer:
1 in 4 chance
Step-by-step explanation:
because if it is a 50% chance to get heads on one toss, then for two tosses you have to multiply 1/2 * 1/2 and that equals 1/4
A. A 90° counterclockwise rotation of trapezoid JKLM about the origin will move angle L onto angle R.
Step-by-step explanation:
Since both the trapezoids, trapezoid JKLM and PQRS are congruent, we can do any transformation, may be rotation, reflection and translation.
A 90° counterclockwise rotation of trapezoid JKLM about the origin will move angle L onto angle R is the true statement others are incorrect statements.
When the Preimage is rotated 90° counterclockwise rotation, then its coordinates (x,y) changed into (-y,x)
The missing number is 20
<h3>How to determine the number</h3>
We can see that the values at the top must be made equal to that at the bottom
For the top, we have
30 + 11 = 41
For the bottom, we should have:
21 + x = 41
Now, let's solve for 'x' to determine the missing figure;
21 + x = 41
collect like terms
x = 41 - 21
x = 20
Thus, the missing number is 20
Learn more parallel lines here:
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Answer:
x = 3 + √6 ; x = 3 - √6 ; 
; 
Step-by-step explanation:
Relation given in the question:
(x² − 6x +3)(2x² − 4x − 7) = 0
Now,
for the above relation to be true the following condition must be followed:
Either (x² − 6x +3) = 0 ............(1)
or
(2x² − 4x − 7) = 0 ..........(2)
now considering the equation (1)
(x² − 6x +3) = 0
the roots can be found out as:
for the equation ax² + bx + c = 0
thus,
the roots are
or
or
and, x = 
or
and, x = 
or
x = 3 + √6 and x = 3 - √6
similarly for (2x² − 4x − 7) = 0.
we have
the roots are
or
or
and, x = 
or
and, x = 
or
and, x = 
or
and,
Hence, the possible roots are
x = 3 + √6 ; x = 3 - √6 ; ;
