In the diagram below ab is parallel to cd what is the value of y?

Answer-

The value of y is 45°

Solution-

When two lines are crossed by another line (i.e the transversal), a pair of angles

are called Alternate Exterior Angles.

When the two lines are parallel Alternate Exterior Angles are equal.

So, in this case the two highlighted angles are Alternate Exterior Angles and as given that AB || CD, so y=45°

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!