What is the value of y?

Explanation is in the file

cutt.ly/tz3yDpb

y = 45

Step-by-step explanation:

Hey There!

The angle labeled x is supplementary to the angle that is equal to 135 meaning that the sum of the two angles will add up to equal 180

so to find x we subtract 135 from 180

180-135=45 so x = 45

Now we can find y

remember the sum of the triangles angles add up to equal 180

so we subtract the given angles(90 and 45) from 180

180-90-45=45

so y = 45

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places