If m dfc = 40° and m
d = 55°, then mbg=

The measure of arc BG is 25°

Step-by-step explanation:

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

so

m∠DFC=(1/2)[arc CD+arc BG]

we have

m∠DFC=40°

arc CD=55°

substitute and solve for arc BG

40°=(1/2)[55°+arc BG]

80°=[55°+arc BG]

arc BG=80°-55°=25°

center= (-2,0)

radius= sqrt2/2

step-by-step explanation:

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1