Given GH is tangent to ⊙T at N. If m∠ANG = 54°, what is mAB ? A circle with centre T is given. GH is tangent to the circle which touches the circumference of the circle at point N. From N, a diameter NTB is drawn. A chord AN is also given, this chord forms an acute angle with tangent. mAB = 72 °

mAB=72°

Step-by-step explanation:

Theorem:The angle between a Tangent and a Radius is 90 degrees.

Applying the above theorem therefore:

∠ANG+∠ANB=90°

54°+∠ANB=90°

∠ANB=90°-54°

∠ANB=36°

Now, Inscribed Angle= of the measure of the arc

Therefore:

36°= mAB

mAB=36*2=72°

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

answer: 94

step-by-step explanation: 79+91+92+94+94 = 450 divided by 5 (since there are 5 number that are being added) = 90