Answer:
p=12
Step-by-step explanation:
DBC = 180
ABE = 180
ABC + DBA = 180
ABC = (5p -28)
DBA + (12p -4)
CBD = ABC + DBA = 180
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180 = (5p - 28) + (12p + 4)
180 = 17p - 24
204 = 17p
12 = p
p = 12
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180 = (5(12) - 28) + (12(12) +4)
180 = 60 - 28 + 144 +4
180 = 180
Answer:
k = 5
Step-by-step explanation:
First three terms of an AP are 3k-1, 4k+1, 6k-2.
First term is 3k-1
For an AP,
a₂-a₁=a₃-a₂
4k+1-(3k-1)=6k-2-(4k+1)
4k+1-3k+1=6k-2-4k-1
k+2=2k-3
Separating like terms,
k-2k=-3-2
-k=-5
k = 5
So, the value of k is 5.
Answer:
the slope is 1/2.
Step-by-step explanation:
6-1/0-(-10)
5/10
1/2
Answer:
1. x=20 ; the angles are 90 degrees31 degrees 59 degrees
2. x=16; the angles are 16 degrees 92 degrees 72 degrees
Step-by-step explanation:
1. 180=90+31+(3x-1)
180-90-31=3x-1
59=3x-1
60=3x
x=20
plug in x for the third angle
2. 180= x+5x-8+3x+44
180=9x+36
180-36=9x
144=9x
x=16
plug in x to all the angles to find the real value
The formula for exponential functions is:
y = ab^x
