So first we solve and simplify
pemdas
first parenthasees
9-4(x-y)=-6x+6
distribute using distributeive property of multiplication which is a(b+c)=(ab)+(ac)
so -4(x-y)=-4x+4y
9-4x+4y=-6x+6
add 6x to both sides
9+2x+4y=6
subtract 9 from both sides
2x+4y=-3
only B matches this
B is the correct answer
(I don't know what standard form is but I know what simplified is)
Answer:
317°
Step-by-step explanation:
The total measure of the angles around the center of the circle is 360°. The sum of angles in each half (above AB or below AB) is half that, or 180°. So, the sum of angles below the line is 180°. We can use that fact to find x, then the measures of all of the angles.
(7x +1)° +90° +(9x -7)° = 180°
16x = 96 . . . . . divide by °, subtract 84
x = 6 . . . . . . . . divide by 16
Then angle AOD is ...
(7·6 +1)° = 43°
Short arc AD is 43°, so long arc ACD is 360° -43° = 317°.
arc ACD = 317°
Answer:
y=-1/5
Step-by-step explanation:
3(2)+5y=5
6+5y=5
5y=5-6
5y=-1
y=-1/5
9514 1404 393
Answer:
D 2.14
Step-by-step explanation:
The lengths of interest are the hypotenuses of the respective triangles. We are given the angle and the opposite side, so the sine relation is of interest.
Sin = Opposite/Hypotenuse
sin(34°) = AC/AB ⇒ AB = AC/sin(34°)
sin(53°) = AC/AD ⇒ AD = AC/sin(53°)
The desired difference in lengths is ...
AB -AD = AC(1/sin(34°) -1/sin(53°)) = 4(1.78829 -1.25214) ≈ 2.1446
The difference in lengths is about 2.14 units.
