3 Challenge Ari, Beth, and Cathy each went for a walk yesterday afternoon. Ari walked 1 mi at a
4
1
1
1
constant speed of 1 mi/h. Beth walked 1 2 mi at a constant speed of 1
4
mi/h. Cathy walked
8
1
for 1 h and 23 min at a constant speed of 13 mi/h. List the three people in order of the times they
spent walking from least time to greatest time.
Choose the correct answer below.
O A. Ari, Cathy, Beth
OB. Cathy, Beth, Ari
OC. Beth, Cathy, Ari
OD. Ari, Beth, Cathy
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11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2

1. 180°. the sum of the interior angles of a triangle is 180°, for the equilateral triangle that it has three equals side is 60°+60°+60°=180°.

2. 60°. each interior angle of a equilateral triangle is 60°

3. 120°. the measure of ∠m is 120°, the sum of the angles ∠m and ∠n is equal to 180°. so, in order to find the measure of ∠m, we have ∠m+∠n=180° > ∠m=180°-∠n > ∠m=180°-60°=120°.

4. 360°. the sum of the exterior angles of an equilateral triangle is ∠m+∠r+∠x=120°+120°+120°=360°. the exterior angles of any triangle always add 360°.

p(x)= 8 x³ - 36 x² + 54 x - 27

q(x) = 2 x -3

you can check your mistake and then you can choose the correct option.

dividend =   8 x³ - 36 x² + 54 x - 27

divisor = 2 x -3

if you want to find quotient, proceed as follows

q(x)= 0

2 x - 3=0

x =

now , i have used division method , to find quotient and remainder