Answer:
For this equation there are infinite solutions.
Step-by-step explanation:
-2(6-3x)=-12+6x
-12+6x= -12 + 6x
-6 -6
-12 = -12
0 = 0
Answer:
1) m<2 = 115°
2) m<5 = 83°
3) m<8 = 45°
4) m<4 = 137°
Step-by-step explanation:
When two lines cross over each other, creating four angles, the opposite angles are equal.
So in question one, <1 is equal to <2, the angle opposite it, and so it is 115°.
Similarly, in question two, <5 = <6 = 84°.
In question three, <8 = <9 = 45°.
and in question four, <3 = <4 =137°.
Answer:
x = 12.85
Step-by-step explanation:
<u>Step 1: Solve for x by adding 7.57 to both sides</u>
x - 7.57 + 7.57 = 5.28 + 7.57
x = 12.85
Answer: x = 12.85
Answer:
mRS = 116
Step-by-step explanation:
If Segment SR ≅ TU then, arc SR ≅ arc TU
Thus, 6x - 28 = 4x + 20
^ ( note that this is the equation we will use to solve for x )
6x - 28 = 4x + 20
step 1 add 28 to each side
28 + -28 cancels out
28 + 20 = 48
we now have 6x = 4x + 48
step 2 subtract 4x from each side
6x - 4x = 2x
4x - 4x cancels out
we now have 2x = 48
step 3 divide each side by 2
2x / 2 = x
48 / 2 = 24
we're left with x = 24
Now to find the value of arc RS we substitute x with 24 in arc RS' given expression
arc RS = 6x - 28
* substitute x with 24 *
arc RS = 6(24) - 28
6 * 24 = 144
144 - 28 = 116
Hence, arc RS = 116
