Answer:
A straight angle measures 180 degrees.
So if one of those angles is 40 degrees, the other angle is 180-40, or 140 degrees. Answer C
Step-by-step explanation:
Answer:
Answers bolded below
Step-by-step explanation:
PAGE 1
20.) 142 + 24 + 2x - 50 = 180 (collect like terms)
116 + 2x = 180 (subtract 116 on both sides)
2x = 64 (divide by 2x on both sides)
x = 32
21.) 40 + 80 + 5m = 180 (collect L.T.'s)
120 + 5m = 180 (subtract 120 on both sides)
5m = 60 (divide by 5 on both sides)
m = 12
PAGE 2
10.) <T
11.) CA
12.) ^CAB
13.) UV
14.) m<A = m<T = 66
15.) B, C, A
PAGE 3
16.) ^BAD = ^DCB
17.) ^GFH = ^KJH
18.) x = 7 and y = 8
10x + 65 = 135
10x = 70
x = 7
4y - 4 = 28
4y = 32
y = 8
19.) b = 13 and n = 13
5b - 3 = 62
5b = 65
b = 13
4n - 4 = 48
4n = 52
n = 13
PAGE 4
1.) <A = <D, <B = <E, <C = <F
2.) AB = DE, CB = FE, FD = CA
3.) CAB = FDE, EFD = BCA, BAC = EDF
4.) m<P =105
5.) m<M = 45
6.) m<R = 30
7.) m<N = 30
8.) QR = MN
9.) LN = PR
Hope this helps ya!!
Answer:
-90m+74
Step-by-step explanation:
Hi there!
A.) Begin by verifying that both endpoints have the same y-value:
g(-1) = 2(-1)² - 4(-1) + 3
Simplify:
g(-1) = 2 + 4 + 3 = 9
g(2) = 2(2)² - 4(2) + 3 = 8 - 8 + 3 = 3
Since the endpoints are not the same, Rolle's theorem does NOT apply.
B.)
Begin by ensuring that the function is continuous.
The function is a polynomial, so it satisfies the conditions of the function being BOTH continuous and differentiable on the given interval (All x-values do as well in this instance). We can proceed to find the values that satisfy the MVT:
Begin by finding the average rate of change over the interval:
Now, Find the derivative of the function:
g(x) = 2x² - 4x + 3
Apply power rule:
g'(x) = 4x - 4
Find the x value in which the derivative equals the AROC:
4x - 4 = -2
Add 4 to both sides:
4x = 2
Divide both sides by 4:
x = 1/2