Answer:
- Define your variable and write your equation: 36 + b + (3b-28) = 180°.
- measure of the second angle: 43°.
- measure of the third angle: 101°
Step-by-step explanation:
a = 36
c = 3b - 28
a + b + c = 180°
a = measure of the first angle
b = measure of the second angle
c = measure of the third angle
then:
1) 36 + b + (3b-28) = 180 ⇒ )Define your variable. Write your equation and solve)
b + 3b + 36 - 28 = 180
4b + 8 = 180
4b = 180 - 8
4b = 172
b = 172/4
2) b = 43° ⇒ measure of the second angle
c = 3b - 28
c = 3*43 - 28
c = 129 - 28
3) c = 101° ⇒ measure of the third angle
Check:
36° + 43° + 101° = 180°
Answer:
answer...
Step-by-step explanation:
This is the answer.
Answer: Theo's scarf is 173 + 1/3 centimeters long.
Step-by-step explanation:
The scarf of Leah is 130 centimeters long.
The one of Theo is 4/3 as long as the one of Leah, then we have that the length of the scarf of Theo is:
Lenght = (4/3)*130 cm =(4*130)/3 cm =520/3 cm
Now, we know that if all the digits of a number add up to a multiple of 3, that number is divisible by 3.
520/3 = (519 + 1)/3 = 519/3 + 1/3 = 173 + 1/3
Theo's scarf is 173 + 1/3 centimeters long.
Answer:
1 gallon per minute
it will take 5 minutes to completely drain
2 minutes before Jada arrived
Step-by-step explanation:
Answer:
a cone with a base circumference of about 126 mm
Step-by-step explanation:
Rotating a triangle about a line results in a cone created by the rotation. This is because the segment at the bottom forms a circle, and the point at the top stays there; the three-dimensional figure with a circular base and a point at the top is a cone.
Since we rotate the segments about a line, this makes the length of the base the radius of the circle. This means the circumference would be
C = 2πr = 2(3.14)(20) = 125.6 ≈ 126 mm