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Lady bird [3.3K]
3 years ago
8

Given ∠8≅∠12 .

Mathematics
2 answers:
Serggg [28]3 years ago
7 0
Your answer would be B
When you have two angles, and want to know which lines must be congruent, you have to look at the transversal first. The two angles will share a side which is the transversal, and then their other side is one of the parallel lines. 
The converse of the corresponding angles theorem states that If corresponding angles are congruent, then the lines are parallel.
yulyashka [42]3 years ago
5 0

Answer:

B) a∥b, Converse of the Corresponding Angles Theorem

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Please help! Worth a lot of points and will mark brainlyest to the first answer! This is highly time sensitive so please answer
hjlf

Answer:

half circle

Step-by-step explanation:

pls giv brainliest

6 0
3 years ago
Calculate the interest amount for a loan of $800 at 4.25% simple interest for 6 years.
Andrei [34K]

Answer:

I= PRT/100

= 800 X 4.25 X 6 /100

= 20400/100

I=204

Interest amount: $204

3 0
2 years ago
A motorboat takes 3 hours to travel 108 km going upstream. The return trip takes 2 hours going downstream. What is the rate of t
PtichkaEL [24]
Recall your d = rt, distance = rate * time.

let's say the boat has a still water rate of "b", and the current has a a rate of "c", ok.... when the boat is going upstream, is not really going "b" fast, is going  slower at "b - c", due to the current going in the opposite direction.

when the boat is coming downstream, is not going "b" fast either, is going faster, is going "b + c", due to the current adding speed to it.

we know the trip up was 108 kms, thus the return trip is also 108 kms.

\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
Upstream&108&b-c&3\\
Downstream&108&b+c&2
\end{array}
\\\\\\
\begin{cases}
108=3(b-c)\implies \cfrac{108}{3}=b-c\implies 36+c=\boxed{b}\\\\
108=2(b+c)\\
--------------------\\
108=2\left(\boxed{36+c} +c \right)
\end{cases}
\\\\\\
\cfrac{108}{2}=36+2c\implies 54=36-2c\implies \cfrac{54-36}{2}=c

and surely you know how much that is.

what's the boat's speed? well, 36 + c = b.
8 0
3 years ago
The lifetime of a leaf blower is exponentially distributed with a mean of 5 years. If you buy a 12 year old leaf blower, what is
snow_tiger [21]

Answer:

1.967 × 10⁻¹¹

Step-by-step explanation:

This is a conditional probability problem

Probability that a 12 year old leaf blower works for 5 more years = Probabilty that a leaf blower works for 17 years, given that it has worked for 12 years = P(17|12)

P(17|12) = P(17 n 12)/P(12)

P(17 n 12) = P(17)

Exponential random variable is given as

f(x) = λ e^(-λ.x)

λ = rate parameter = 5 years per blower

x = variable whose probability is required = 17

f(17) = 17 e^(-5×17)

f(17) = 17 e⁻⁸⁵ = 2.067 × 10⁻³⁶

f(12) = 12 e^(-5×12)

f(12) = 12 e⁻⁶⁰ = 1.051 × 10⁻²⁵

P(17|12) = (2.067 × 10⁻³⁶)/(1.051 × 10⁻²⁵)

P(17|12) = 1.967 × 10⁻¹¹

8 0
3 years ago
Find the standard form of the equation of each circle with the endpoints of a diameter (1,8) and (-3,2)
eimsori [14]

Answer:

(x+1)^2+(y-5)^2=13

Step-by-step explanation:

3 0
3 years ago
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