Alex is constructing a square in which two of its vertices are points x and y. he has already used his straightedge and compass to construct the lines and arcs shown. what should alex do for his next step? a. use a straightedge to draw a horizontal line that contains point z. b. place the point of the compass on point x and draw any arc above it. c. use a straightedge to draw xz¯¯¯¯¯ . d. place the point of the compass on point y and draw an arc that intersects yz¯¯¯¯¯ , using xy as the width of the opening of the compass.

D. Place the point of the compass on point Y and draw an arc that intersects YZ¯¯¯¯¯ , using XY as the width of the opening of the compass.

Step-by-step explanation:

All sides of a square has to be equal.

Here it is given that X an Y are 2 of the vertices of the square. We can say that XY is the length of one side of the square.

So e should make sure that a length of the square on the YZ line is same as the XY line.

So,

Place the point of the compass on point Y and draw an arc that intersects YZ¯¯¯¯¯ , using XY as the width of the opening of the compass.

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d

c

-by-step explanation:

it would be c