Answer:
La medida del tercer ángulo interno es 85°.
Step-by-step explanation:
Los triángulos son figuras geométricas planas que poseen tres lados en contacto entre sí en puntos comunes denominados vértices. A su vez, los triángulos poseen tres ángulos interiores. Estos tres ángulos interiores del triángulo suman 180°.
En este caso, en un triángulo, dos de sus ángulos internos miden 40º y 55º. Siendo θ el tercer ángulo interior, entonces:
θ + 40° + 55°= 180°
Resolviendo:
θ + 95°= 180°
θ= 180° - 95°
θ=85°
<u><em>La medida del tercer ángulo interno es 85°.</em></u>
Answer:

Step-by-step explanation:
A exponential function is represented by

where a is the vertical stretch and b is the base and x is the nth
power of x
Since the first number corresponds with zero, that means our y intercept is the first number.
This means when x=0 , y=5 so let find the value of 5.

b to the 0th power equal 1 so


Our equation is for now

Now let plug in 1,30

Divide 5 by both sides

Anything to the 1st power is itself so b equal 6.
So our equation is

=3
The absolute value of any number is ALWAYS positive. Negatives get changed to positives.
5-2=3
This is a problem in "binomial probability." Either the archer hits his target or he does not. This experiment is performed 5 times (so that n=5), and the probability that the archer will hit the target is 0.7 (so that p=0.7).
We need to find the binomial probability that x=3 when the possible outcomes are {0, 1, 2, 3, 4, 5}.
You could use a table of binomial probabilities to evaluate the following:
P(5, 0.7, 3).
Alternatively, you could use a TI-83 or TI-84 calculator and its built-in "binompdf( " function.
I evaluated binompdf(5,0.7,3) and obtained the result 0.309.
290.
We know that the hundreds is two already.
The tens digit is 9 more than the ones digit, but since a digit can't be more than 9, the ones must be 0.
So the tens is 9 and the ones place is 0. Hopes this helps :)