Answer:
m∠B = 141°
Step-by-step explanation:
sides of polygon (n) = 7
sum of angles of polygon = {(n - 2) * 180°}
= {(7 -2)*180°}
= 5* 180°
= 900°
Now,
m∠B = 900° - 148° - 142° - 130° - 129° - 120° - 90°
m∠B = 141°
Answer:
k = 16/33
Step-by-step explanation:
Determine k so that 2/3,k and 5/8k are the three consecutive terms of an a.p
k - 2/3 = 5/8k - k
3k-2/3 = 5k-8k/8
Cross product
(3k-2)(8) = (3)(5k-8k)
24k - 16 = 15k - 24k
24k - 16 = -9k
24k + 9k = 16
33k = 16
k = 16/33
Answer:
y = -3/8(x + 2)^2 + 8
Step-by-step explanation:
vertex form is
y = a(x - b)^2 + c where a is a constant and (b,c) is the vertex.
The maximum is at (-2, 8) because x 8 = height and x =-2 is equn. of symmetry
So here we have
y = a(x - (-2))^2 + 8
y = a(x + 2)^2 + 8
Now at the point (-6, 2):
2 = a(-6+2)^2 + 8
2 = 16a + 8
16a = -6
1 = -3/8.
So our equation is y = 3/8(x + 2)^2 + 8
Step-by-step explanation:
Multiply the number outside the brackets to the numbers inside:
So,
9 * 9x = 81x
9 * 2y = 18y
9 x -6 = -54
So the simplified or equivalent expression is:
81x + 18y - 54
