0.0239 x 28 = .6692 (this is the amount of tax paid)
shoes + tax = total
$28 + 0.6692 = $28.6692 which rounds to $28.67 (money is always rounded to the hundredths place)
Answer:
Angle 3 = 86.8
Angle 6 = 96.4
Angle 7 = 93.2
Step-by-step explanation:
Given :
angle 6 = 4x + 10
angle 7 = 2x + 40
=> angle 6 + angle 7 = 180° { linear pair }
=> 4x+10 +2x+40 = 180
=> 6x+50 = 180
=> 6x = 180-50
=> 6x = 130
=> x = 130/6
=> x = 21.6
so ,the measure of angle 6 = 4x + 10 = 4(21.6) +10 = 86.4+10 = 96.4
the measure of angle 7 = 2x + 40 = 2(21.6) +40 = 43.2+50 = 93.2
now angle 7 = angle 4 + angle 5
and angle 3 + angle 4 + angle 5 = 180°
so, angle 7 + angle 3 = 180
=> 93.2 + angle 3 = 180
=> angle 3 = 180 - 93.2
=> angle 3 = 86.8
Answer:
Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 2. and then rotating it about the origin by 180 degrees
Step-by-step explanation:
Step 1: Dilation by a scale factor of 1/2.
A point (x, y) is sent to (1/2 x, 1/2 y).
A(2, 2) ---> (1, 1)
B(2, 10) ---> (1, 5)
C(8, 12) ---> (4, 6)
Step 2: Rotate about the origin 180 degrees
A point (x, y) is sent to (-x, -y).
(1, 6) ---> A'(-1, -1)
(1, 5) ---> B'(-1, -5)
(4, 6) ---> C'(-4, -6)
Nuetron has no positive or negative charge
