Answer:
exact form: x= 11/2
Decimal Form
X= 5.5
Mixed form
X= 5 1/2
Step-by-step explanation:
∡b is a vertical angle to ∡a and therefore a twin, and we know that ∡a = 120°, thus since ∡b = ∡a, ∡b = 120° as well.
a full circle has a total of 360°, ∡d and ∡c are vertical angles, namely two angles across from each other at a junction, and therefore ∡d = ∡c.
∡a + ∡b is 120° + 120° thus 240°, since a circle has a total of 360°, 360 - 240 = 120, so the other two angles pick up that slack and divide it among each other evenly, 120/2 = 60, so ∡d = ∡c = 60°.
Multiply the first equation by two to get 2x + 2y = 4.
Subtract the second equation from the first equation to get -3y = -12
y = 4.
Plug y back in to get x = -2.
Answer:
x = 3
Step-by-step explanation:
We can write the equation as 16 + x = 19
To solve we can work backwards, I know the opposite of adding is subracting... so 19 - 16 = 3 which means x is equal to 3.
Hope that helps and have a great day!