Answer:
Angle 2 = 124 degrees
Step-by-step explanation:
Angles 1 and 2 are corresponding angles since the two lines are parallel.
We can put both numbers into an equation.
3x + 25 = 2x + 58
Subtract both sides by 2x which will give:
x + 25 = 58
Now, we can solve for x, which is:
x = 58-25 = 33
Put back x = 33 into angle 2.
Hence, angle 2 is 2*33 + 58 = 124
Answer:
Original Number = let we assume it is x
Number after decremented = y = 60
Total decrease = z = x-y = x-60
% of decrease = ((x-60)/x)*100 = 7.3
(x-60)*100 = 7.3x
100x -6000 = 7.3x
100x-7.3x = 6000
92.7x = 6000
x = 6000/92.7 = 64.73
Original Number = 64.73
Step-by-step explanation:
Answer:
An unlimited number of lines are parallel to the line described by y = 5x + 2. The requirement is that it is in the form y = 5x + b, b ≠ 2.
Step-by-step explanation:
Answer:
x = 14
y = 14
z= 14
Step-by-step explanation:
Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.
Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that <em>x</em> will be the same as its respective leg, 14
Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.
Since <em>y</em> is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, <em>y</em> is 14. <em>z </em>is then 14
using either Pythagorean Theorem or special right triangle properties for 30-60-90.
Your answer would be 'How thick is the thickest book in your book collection?'