Answer:
1065
Step-by-step explanation:
57-42×-3-21
Answer:
y = 52 degrees
x = 7 degrees
Step-by-step explanation:
Hello! So, we can first easily find out the measurement of y because of the Base Angles Theorem.
[ The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent. The Isosceles Triangle Theorem states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle. ]
- www.ck12.org
So basically, in an iscoceles triangle, the base angles are equal so therefore, y = 52 degrees
Now we have to solve for x. We know that the sum of the angles in a triangle are 180 so we have to make an equation:
52 + y = 14x + 6 {<em>We know that y is 52 degrees so we should plug that in</em>}
52 + 52 = 14x + 6 --> Now we should simplify:
104 = 14x + 6
98 = 14x
x = 7 degrees
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.
Answer:
365 days you got it you got it
Step-by-step explanation:
Answer:
x = 3 ± i 
Step-by-step explanation:
Given
x² - 6x + 12 = 0 ( subtract 12 from both sides )
x² - 6x = - 12
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = - 12 + 9
(x - 3)² = - 3 ( take the square root of both sides )
x - 3 = ± 
= ± i ( add 3 to both sides )
x = 3 ± i
