Answer:
x = 66°
Step-by-step explanation:
unmarked angle = x because it is an isosceles triangle.
The sum of all three interior angles of any triangle = 180°
So:
2x + 58° = 180°
2x = 122°
x = 66°
If you can't figure out how to do it, you can always use your answer choices, so for example, use choice a (21 degrees). Plug in 21 for x for both equations. So for the first equation that would be 7(21)-1= 146 and second equation 3(2)-9= 54. Then you would add the results, 146+54=200. In that case, choice 21 is wrong because both of these angles should equal to 180 since it is a supplementary angle. I hope that helped.
Answer:
4w+10=-w
w=-2
Step-by-step explanation:
First, write out the equation in the algebraic form to make it easier to solve. This equation written out is 4w+10=-w. Then, isolate the variable and solve. Do this by subtracting 4w from both sides. Then, divide both sides by -5.
9514 1404 393
Answer:
042
Step-by-step explanation:
The first clue tells you the possibilities are ...
6__, _8_, or __2
The second clue eliminates 6__ and tells you the possibilities are ...
18_, _81, 1_2, 48_, _42
The third clue tells you two of the correct digits are 0 and 2, since 6 has already been eliminated by the first two clues. This only leaves 042.
042 is consistent with the last 2 clues.
The 3-digit key is 042.