If anyone could help me with this that would be great it just doesn’t make much sense to me (please include work) thank you!

40. x = 106 degrees

41. x = 118 degrees

Step-by-step explanation:

40.

straight line has 180 degrees

180 - 128 = 52 : angle inside triangle

180 - 126 = 54 : angle inside triangle

52 + 54 = 106

triangle has 180 degrees

180 - 106 = 74 : 3rd angle inside the triangle

again straight line has 180 degrees

180 - 74 = 106 = x

41.

shape of 4 sides is 360 degrees

180 - 34 = 146

little box means one the sides is 90 degrees on either side

146 + 90 = 236

360 - 236 = 124

both x's are the same so angles inside are the same too

124 ÷ 2 = 62

straight line is 180

180 - 62 = 118

x = 118

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation:

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.