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GrogVix [38]
3 years ago
14

4. A classmate is having difficulty finding the measures of <BGE and <BDG in the diagram on the right. What mathematical a

dvice would you give them? Be sure to address the information they would need and describe how they would find these angle measures.
 Open document scroll all the way to the bottom picture is there.

Mathematics
1 answer:
Firlakuza [10]3 years ago
8 0
Part 1) Find the measures of angle BGE
we know that
The inscribed angle measures half of the arc it comprises.
so
angle BGE=(1/2)*[arc EB]  

Part 2) Find the angle BDG
we know that
The measure of the external angle is the semi-difference of the arcs that it covers.
so
angle BDG=(1/2)*[arc GEB-arc GB]

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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
What is the area of the triangle?
ArbitrLikvidat [17]

9514 1404 393

Answer:

  7 square units

Step-by-step explanation:

There are several ways the area of triangle EBD can be found.

  • find the lengths EB, BD, DE and use Heron's formula (messy due to roots of roots being involved).
  • define point G at the lower left corner and subtract the areas of ∆DEG and BCD from trapezoid BCGE.
  • figure the area from the coordinates of the vertices.
  • use Pick's theorem and count the dots.

We choose the latter.

__

Pick's theorem says the area of a polygon can be found as ...

  A = i + b/2 -1

where i is the number of grid intersection points interior to the polygon, b is the number of grid points intersected by the border.

The attached figure shows the lines EB, BD, and DE intersect one point in addition to the vertices. So, b=4. A count of the red dots reveals 6 interior points (i=6). So, the area is ...

  A = 6 + (4/2) -1 = 7

The area of ∆EBD is 7 square units.

4 0
2 years ago
Someone please help
Nookie1986 [14]

Answer:

<D=<N

Step-by-step explanation:

Corresponding angle, both in third digit, others are in different digits.

PLS GIVE BRAINLIEST

3 0
3 years ago
Read 2 more answers
the earth rotates about its axis once every 23 hours, 56 minutes and 4 seconds. Approximate the number of radians the earth rota
marishachu [46]

Answer:

\frac{\pi}{43082}\text{ radians per second}

Step-by-step explanation:

Given,

Time taken in one rotation of earth = 23 hours, 56 minutes and 4 seconds.

Since, 1 minute = 60 seconds and 1 hour = 3600 seconds,

⇒ Time taken in one rotation of earth = (23 × 3600 + 56 × 60 + 4) seconds

= 86164  seconds,

Now,  the number of radians in one rotation = 2π,

That is, 86164 seconds = 2π radians

\implies 1\text{ second }=\frac{2\pi}{86164}=\frac{\pi}{43082}\text{ radians}

Hence, the number of radians in one second is \frac{\pi}{43082}

4 0
3 years ago
The current temperature is 20 degrees. This is 6 degrees less than twice the temperature that it was 6 hours ago. What was the t
mestny [16]
2x - 6 = 20
2x = 20 + 6
2x = 26
x = 26/2
x = 13 <==
5 0
3 years ago
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