Answer:
Angle DEB: 52
Angle ADB: 30
Angle CBE: 52
Angle BEC: 38
Step-by-step explanation:
Angle DEB = 52 because triangles' angles must add up to 180. Angle ADB is 30 because it is complementary to angle BDE. Angle CBE is 52 because angle BEC is complementary to BED which is 52 degrees to BEC is 38 degrees. since the angles add up to 180, and C is 90, CBE is 52. Finally, BEC is 38 because it is complementary to BED.
Triangular sequence = n(n + 1)/2
If 630 is a triangular number, then:
n(n + 1)/2 = 630
Then n should be a positive whole number if 630 is a triangular number.
n(n + 1)/2 = 630
n(n + 1) = 2*630
n(n + 1) = 1260
n² + n = 1260
n² + n - 1260 = 0
By trial an error note that 1260 = 35 * 36
n² + n - 1260 = 0
Replace n with 36n - 35n
n² + 36n - 35n - 1260 = 0
n(n + 36) - 35(n + 36) = 0
(n + 36)(n - 35) = 0
n + 36 = 0 or n - 35 = 0
n = 0 - 36, or n = 0 + 35
n = -36, or 35
n can not be negative.
n = 35 is valid.
Since n is a positive whole number, that means 630 is a triangular number.
So the answer is True.
Answer:
second difference
Step-by-step explanation:
The differences of the y-values will differ by a common amount.
<u>Example</u>:
y = x^2 for x = 2, 4, 6, 8
y-values are 4, 16, 36, 64
differences of these are 12, 20, 28
differences of these differences are 8 and 8, a common value.
There are 20 miles is Sheng from his home.
Answer:
y= -2/3x-2
Step-by-step explanation:
Since we have a point and a slope, we can use the point slope formula
m is the slope. In this case, m is -2/3
y1 is the y coordinate of the point. In this case, it is -2
x1 is the x coordinate. In this case it is 0.
We can substitute these values into the formula
y- -2= -2/3(x-0)
Distribute -2/3
y+2 = -2/3*x + -2/3*0
y+2= -2/3x+0
Subtract 2 from both sides. We want to get y by itself. This is because we want our line to be in y=mx+b form.
y+2-2= -2/3x+0-2
y= -2/3x -2
