X + x + 2 + x + 4 = -213
3x + 6 = -213
3x = -219
x = -73
-73 + 2 = -71
-73 + 4 = -69
Solution: -73, -71, -69
If you have the two other angle measures:
You can add the angles together and subtract them from 180.
Example:
Angle 1: 90
Angle 2: 45
Angle 3: ?
90 + 45 = 135
180 - 135 = 45
Angle 3 is 45 degrees.
This is because all three angles of a triangle need to be equal to 180 when added up.
Answer:
Sister = 15 years old
Brother = 12 years old
Step-by-step explanation:
Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X
Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have
B = 3X
S = 4X
B-3 = (3/4)(S-3)
Therefore, we have a system of equations
B = (4/5)S
B-3 = (3/4)(S-3)
Substitute (4/5)S for B into the second equation to only have one variable
(4/5)S - 3 = (3/4)(S-3)
(4/5)S - 3 = (3/4)S - 9/4
add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient
(1/20)S = 3/4
multiply both sides by 20 to isolate the S
S = 15
B = (4/5)S = 12
Answer:
Mid point of the given end points = 
Step-by-step explanation:
Given the end points of the line segment are :
(0, 
) & (
,0)
We will use the mid point formula when two points are: (x₁,y₁) & (x₂,y₂)
mid point = 
now put the value of x₁ = 0
x₂ =
y₁ =
y₂ = 0
mid point = 
=
That's the final answer.
Perimeter is that distance around any shape
