Answer:
x > 22
Step-by-step explanation:
<em>Hey there!</em>
Well to solve,
52 - 3x < -14
we need to single out x
52 - 3x < -14
-52 to both sides
-3x < -66
Divide both sides by -3
x > 22
The < changes to > because the variable number is a - being divided.
<em>Hope this helps :)</em>
Answer:
3^2/15
Step-by-step explanation:
(^5sqrt3^2)^1/3
(3^2/5)^1/3
multiply the powers
3^2/5*1/3
3^2/15
Answer:
120 cm
Step-by-step explanation:
One way to tackle this is by getting another sheet of paper and drawing it out, then counting up the total of the sides. If you draw it, you can see that you're dealing with a rectangle; two sides of length 12 and two sides of length 8. If you don't like drawing or don't want to in this case, another way to get the answer is by knowing one vertex is at (0, 0), so the next vertex (0, 8), would create a side that's exactly 8 units long. Kind of the same, you know from (0, 0), you also have a point (12, 0), so drawing that would create a side that's 12 units long. All in all, to get the perimeter in units, you have 12 + 12 + 8 + 8 = 40.
The problem says it wants the amount of wood in centimeters needed for the perimeter. What we just found was the perimeter in generic units, so if the problem says every "grid square", or unit, is 3 centimeters long, then all you have to do is take our result 40 and multiply it by 3 to get the number of centimeters. Your perimeter in centimeters would be 120 cm.
The value of the given variable x in the missing angles is; x = 12°
<h3>How to find alternate Angles?</h3>
Alternate angles are defined as the angles that occur on opposite sides of the transversal line and as such have the same size. There are two different types of alternate angles namely alternate interior angles as well as alternate exterior angles.
Now, from the question, we can see that ∠4 and ∠6 suit the definition of alternate angles and as such we can say that they are both congruent.
Since ∠4 = (8x + 4)° and ∠6 = (6x + 28)°, then we can say that;
(8x + 4)° = (6x + 28)°
Rearranging this gives us;
8x - 6x = 28 - 4
2x = 24
x = 24/2
x = 12°
Read more about Alternate Angles at; brainly.com/question/24839702
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