Answer: 70ᴼ
Step-by-step explanation:
The triangles are vertical so their angle measures are congruent.
The angles of a triangle add to equal 180ᴼ.
55 + 55 = 110
180 - 110 = 70
Answer: (3b + 5)(3b - 5)
Because both terms, 9b² and 25, are perfect squares, you can factor by taking the square roots of both terms.
The square root of 9b² is 3b (3b × 3b = 9b²).
The square root of 25 is 5 (5 × 5 = 25).
9b² - 25 has a negative, so the factored expression would be
(3b + 5)(3b - 5). The signs (+ and -) alternate in this case because the expression, 9b² - 25, has no middle term.
You can check your work by using FOIL. See the attachment below.
F irst
O utside
I nside
L ast
Answer:
C(x)=25x+6000
b=2250
Step-by-step explanation:
C(x)=mx+b
m-marginal cost
x-no items
finding B
C(x)mx+b
6000=25(130)+b
b=2250
General substitution
C(x)=25x+6000