Answer:
the corresponding angles are equal in similar figures.
Step-by-step explanation:
When two figures are similar then the corresponding angles of the two figures are equal. the side of the figures are in proportional.
for example, when triangle ABC is similar to triangle DEF
then the corresponding angles are equal
<A=<D
<B=<E
<C=<F
so the corresponding angles are equal in similar figures.
Answer:
Probability at least one car will get punctured: 0.39347
Step-by-step explanation:
B(10,000 , 0.00005)
P(X ≥ 1) = 1 - P(X = 0)
= 1 - (1 - 0.00005)^10,000
= 1 - (0.99995)^10,000
= 1 - 0.60652...
= 0.39347 (probability that at least one car will get punctured)
As you can tell P(X ≥ 1) as we have to solve for the probability that at least one car will get punctured. That is of course 1 - [ P(X = 0) ].
Answer:
m<HGI=21°
Step-by-step explanation:
we know that
If GH bisects m<FGI then
m<FGH=m<HGI
substitute the values
(2x+1)°=(3x-9)°
solve for x
3x-2x=1+9
x=10°
The measure of angle HGI is equal to
(3x-9)° ------> substitute the value of x
3*10-9=21°
m<HGI=21°
Start off by combining like terms on the LHS (the terms with x in them).
So we get
Replacing this result with what we had before on the LHS, we get
⇒Solve for x (divide both sides
)
⇒Don't forget about reciprocity rules when dividing. This is the same as multiplying both sides by
⇒
⇒
***This is a proper fraction
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