Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
1
,
1
)
Equation Form:
x
=
1
,
y
=
1
Make a porportion
15 100
---- = ------
75 x
now cross multiply and divide
100 times 75 divided by 15=500
5oo minutes in school
Make an inequality representing both constraints.
0.5x+y<20
x+y≥24
Given:
Angle A is 4 degrees greater than the measure of Angle B. Both angles are complementary
Complementary angles have a sum of 90°
Angle A = x + 4° ; Angle B = x
x + 4° + x = 90°
2x = 90° - 4°
2x = 86°
x = 86° ÷ 2
x = 43° ANGLE B.
Angle A = x + 4° ⇒ 43° + 4 = 47°
Given:
Angle D is 5 times the measure of Angle E. These angles are supplementary. This means that their sum is 180°
Angle D = 5x ; Angle E = x
5x + x = 180°
6x = 180°
x = 180° ÷ 6
x = 30° Angle E.
Angle D = 5x = 5(30) = 150°
Y= 40 explanation don’t want to just trust me it’s 40
