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Sergio [31]
3 years ago
8

Za and Z6 are complementary angles. Za measures 78°. What is the measure of Zb?

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
5 0

Answer:

\boxed{\angle b = 12 \degree}

Given:

\angle a \: and \: \angle b \: are \: complementary \: angles\\ \\ \angle a = 78 \degree

Step-by-step explanation:

Two Angles are Complementary when they add up to 90° (a Right Angle).

=  > \angle a + \angle b = 90 \degree \\  \\  =  >  78 \degree +  \angle b = 90\degree \\  \\  =  > \angle b = 90 \degree - 78 \degree \\  \\  =  >  \angle b = 12 \degree

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At a certain pizza parlor, % of the customers order a pizza containing onions, % of the customer's order a pizza containing saus
wel

Answer:

At a certain pizza parlor,36 % of the customers order a pizza containing onions,35 % of the customers order a pizza containing sausage, and 66% order a pizza containing onions or sausage (or both). Find the probability that a customer chosen at random will order a pizza containing both onions and sausage.

Step-by-step explanation:

Hello!

You have the following possible pizza orders:

Onion ⇒ P(on)= 0.36

Sausage ⇒ P(sa)= 0.35

Onions and Sausages ⇒ P(on∪sa)= 0.66

The events "onion" and "sausage" are not mutually exclusive, since you can order a pizza with both toppings.

If two events are not mutually exclusive, you know that:

P(A∪B)= P(A)+P(B)-P(A∩B)

Using the given information you can use that property to calculate the probability of a customer ordering a pizza with onions and sausage:

P(on∪sa)= P(on)+P(sa)-P(on∩sa)

P(on∪sa)+P(on∩sa)= P(on)+P(sa)

P(on∩sa)= P(on)+P(sa)-P(on∪sa)

P(on∩sa)= 0.36+0.35-0.66= 0.05

I hope it helps!

5 0
3 years ago
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