Let's talk about the choices
◯ ∠4 and ∠5 . . . . . . . . these are complementary angles whose sum is 90°
◯ ∠7 and ∠9 . . . . . . . . these are vertical angles, equal to each other
◯ ∠2 and ∠3 . . . . . . . . these are supplementary angles that together form a straight line. They are a linear pair.
◯ ∠1 and ∠2 . . . . . . . . these are "adjacent" angles in the quadrilateral that also includes ∠9 and ∠10.
The appropriate choice is ...
◉ ∠2 and ∠3
Step-by-step explanation:
1. 3x+x-2x+8=3x+x
x-2x+8=x
x+8=x+2x
8=2x
8÷2=4
x=4
2. 2(2x+4)-2x=x+18
8+4x-2x=x+18
8+2x=x+18
2x=x+10
x=10
3. 2(x+3)+3x
2(5+3)+15
16+15
31
4. 3(2x)-3x+4=2x+5
6x-3x+4=2x+5
3x+4=2x+5
3x-2x+4=5
x=1
5. 3x+2x+x=x+6
6x=x+6
5x=6
x=6/5
6. 2(x+4)+x=16
2x+8+x=16
3x+8=16
3x=8
x=8/3
Hope I calculated it right you can check it in calculator
Answer:
A (y-3)^2 = -2(x-1) is the correct choice :)
B = 2x+4
H = 3x-5
A = bh
= (2x+4)(3x-5)
= (2x)(3x)+(2x)(-5)+(4)(3x)+(4)(-5)
= 6x^2 - 10x + 12x - 20
= 6x^2 + 2x - 20
So the answer is A (6x^2 + 2x - 20) (i think)