Answer:
the answer is c)SAS
Step-by-step explanation:
as the sides are already given and and both angles will be equal as vertically opposite angles (VOA)are always equal.
Answer:
Step-by-step explanation:
um
For me, this is a strange question...
Any two circles are similar.
Step-by-step explanation:
<em>When two figures are similar, they have the same shape, and the ratios of the lengths of their corresponding sides (segments) are equal.</em>
Two circles have the same shape.
The radiuses are corresponding segments and the diameters are corresponding segments. The ratio of lengths radiuses and diameters are equal.
If you want calculate it, then.
Circle A: r₁ = 5, d₁ = (2)(5) = 10
Circle B: r₂ = 15, d₂ = (2)(15) = 30
r₂/r₁ = 15/5 = 3
d₂/d₁ = 30/10 = 3
r₂/r₁ = d₂/d₁
Answer: 11
Step-by-step explanation:
Exponential Functions:
y=ab^x
y=ab
x
a=\text{starting value = }550
a=starting value = 550
r=\text{rate = }18.8\% = 0.188
r=rate = 18.8%=0.188
\text{Exponential Decay:}
Exponential Decay:
b=1-r=1-0.188=0.812
b=1−r=1−0.188=0.812
\text{Write Exponential Function:}
Write Exponential Function:
y=550(0.812)^x
y=550(0.812)
x
Put it all together
\text{Plug in y-value:}
Plug in y-value:
60=550(0.812)^x
60=550(0.812)
x
\frac{60}{550}=\frac{550(0.812)^x}{550}
550
60
=
550
550(0.812)
x
Divide both sides by 550
0.109091=0.812^x
0.109091=0.812
x
\log 0.109091=\log 0.812^x
log0.109091=log0.812
x
Take the log of both sides
\log 0.109091=x\log 0.812
log0.109091=xlog0.812
use power rule to bring x to the front
\frac{\log 0.109091}{\log 0.812}=\frac{x\log 0.812}{\log 0.812}
log0.812
log0.109091
=
log0.812
xlog0.812
Divide both sides by log(0.812)
10.638757=x
10.638757=x
x\approx 11
x≈11
