What is m∠d ? enter your answer in the box. __°

Answer

Find out the m∠D .

To proof

In Δ ABE

∠EAB + ∠ABE + ∠AEB = 180 °

(By using the angle sum property of a triangle.)

As given and shown in the diagram

∠EAB = 14° , ∠ABE = 45 °

Put in the above equation

14° + 45° + ∠AEB = 180 °

∠AEB = 180 °- 59°

∠AEB = 121 °

∠AEB = ∠DEC = 121°

(by using the vertical opposite angles property)

Now in ΔCED

∠DEC + ∠EDC + ∠ECD = 180 °

(Angle sum property of a triangle)

(as given ∠DEC = 121° ,∠ECD = 27° shown in the diagram  )

∠EDC = 180 ° - 27 ° - 121 °

∠EDC  = 32°

therefore

∠ D = 32 °

Hence proved

r and t.

both are 64 degrees.

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.