Answer:
y = -2x + 8
Step-by-step explanation:
In this question, you have to solve for "y".
Solve:
2y + 4x = 16
Get "y" by itself by subtracting 4x from both sides.
2y = -4x + 16
Simplify by dividing both sides by 2.
y = -2x + 8
Answer:
If EFGH is an isosceles trapezoid,
if
EH=4x-27+
FG=x%2B9+
EG=3y%2B19
FH=11y-21
then EH=FG and EG=FH
set up equations:
4x-27=x%2B9 .......solve for x
4x-x=27%2B9
3x=36
x=36%2F3
3y%2B19=11y-21.......solve for y
11%2B19=11y-3y
30=8y
y=30%2F8
y=15%2F4
y=3.75
so,x=12 and y=3.75
you can also check the length of equal sides and equal diagonals:
EH=4%2A12-27+=21
FG=12%2B9+=21
EG=3%283.75%29%2B19=30.25
FH=11%283.75%29-21=30.25x=12
Step-by-step explanation:
Answer:
<h3>
x = -5, y = 7</h3>
Step-by-step explanation:
-3x + y = 22 ⇒ y = 3x + 22
-12x - 10y = -10 and y = 3x + 22
-12x - 10(3x + 22) = -10
-12x - 30x - 220 = -10
+220 +220
- 42x = 210
÷(-42) ÷(-42)
x = -5
y = 3(-5) + 22 = -15 + 22 = 7
Answer:
131°
Step-by-step explanation:
Since KNJ is a straight line,
∡KNM +∡MNJ= 180° (adj. ∡s on a str. line)
(8x -5)° +(4x -19)°= 180°
<em>Simplify:</em>
12x -24= 180
<em>+</em><em>2</em><em>4</em><em> </em><em>on </em><em>both </em><em>sides</em><em>:</em>
12x= 180 +24
12x= 204
<em>Divide</em><em> </em><em>both </em><em>sides </em><em>by </em><em>1</em><em>2</em><em>:</em>
x= 204 ÷12
x= 17
∡KNM
= (8x -5)°
= [8(17) -5]°
= (136 -5)°
= 131°
