Find the values if x and y in the diagram ​

9514 1404 393

  x = 18

  y = 6

Step-by-step explanation:

The angle marks tell you that ΔTRS is isosceles, so RT ≅ RS. Similarly, the angle marks tell you ΔTRU is equilateral, so UT ≅ RT. This means ...

  x - 7 = 11

  x = 18 . . . . . . add 7

__

Angle URT is an exterior angle equal to the sum of congruent angles RTS and RST. This means ...

  ∠RTS = (1/2)∠URT = 30° . . . . . angles in an equilateral triangle are 60°

  5y° = 30°

  y = 6 . . . . . . divide by 5°

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

126 maybe. sorry