Answer:
x = 36°
m<1 = 36°
m<2 = 144°
m<3 = 36°
m<4 = 144°
m<5 = 144°
m<6 = 36°
Step-by-step explanation:
✔️x° + 4x° = 180° (linear angle pair theorem)
5x = 180
x = 180/5
x = 36°
For easy identification, the six angles to be found have been labelled <1 to <6 as shown in the attachment below.
✔️m<1 = x° (vertical angles pair)
m<1 = 36° (substitution)
✔️m<2 = 4x° (vertical angles pair)
Plug in the value of x
m<2 = 4(36)
m<2 = 144°
✔️m<3 = x° (alternate interior angles theorem)
m<3 = 36° (substitution)
✔️m<4 = 4x° (corresponding angles theorem)
m<4 = 4(36) (substitution)
m<4 = 144°
✔️m<5 = 4x° (alternate exterior angles theorem)
m<5 = 4(36)
m<5 = 144°
✔️m<6 = x° (corresponding angles theorem)
m<6 = 36°
Answer:
4v-6.3w+9.8
Step-by-step explanation:
If you distribute the negative sign (same as distributing -1), then you get -(-4v) + (-6.3w) - (-(9.8))
Basically it's switching the signs
Hope that helped :)
Answer:
It doesn't matter which way you do it, you'll still get the same answer. 19 is correct
Step-by-step explanation:
Answer:
226.08 in
Step-by-step explanation:
To find how much water this container can hold, we should find the volume of this container.
Volume of cylinder = πr²h
= 3.14 × 3² × 8 (r= d/2 => 6/2 = 3)
= 226.08 in
9514 1404 393
Answer:
n + 5 > 11
Step-by-step explanation:
When 5 is added to a number n, the expression representing that sum is ...
5 + n
When that is greater than 11, the expression representing that comparison is ...
5 + n > 11