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Firdavs [7]
3 years ago
9

Secants ⎯⎯⎯⎯⎯⎯⎯⎯⎯ and ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ intersect in the exterior of a circle. DJH measures 191° and EG measures 53°. Determine the mea

sure of ∠ EFG.

Mathematics
1 answer:
Alik [6]3 years ago
4 0

Answer:

m\angle EFG =69\degree

Step-by-step explanation:

m\angle EFG =\frac{1}{2}(191- 53)\degree

m\angle EFG =\frac{1}{2}\times 138\degree

m\angle EFG =69\degree

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JWA Weather Radio 103.5 in Jacksonville, Florida, gives local weather updates every 18 minutes. The first update is at 2: 00 p.m
Cerrena [4.2K]
The next update would be at 5:48 p.m because that's 18 minutes later.
3 0
3 years ago
The following set of coordinates represents which figure? (7, 10), (4, 7), (6, 5), (9, 8) Parallelogram Rectangle Rhombus Square
VLD [36.1K]

Answer:

The figure is a rectangle

Step-by-step explanation:

* Lets explain how to solve the problem

- To prove the following set of coordinates represents which figure

  lets find the distance between each two points and the slopes of

  the lines joining these points

- The rule of the distance between two point is

 d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

- The rule of the slope is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

- <em>Remember:</em>

* Parallel lines have same slopes

* The product of the slopes of the perpendicular lines is -1

# points (7 , 10) and (4 , 7)

∵ d1=\sqrt{(4-7)^{2}+(7-10)^{2}}=\sqrt{18}

∵ m1=\frac{7-10}{4-7}=\frac{-3}{-3}=1

# points (4 , 7) and (6 , 5)

∵ d2=\sqrt{(6-4)^{2}+(5-7)^{2}}=\sqrt{8}

∵ m2=\frac{5-7}{6-4}=\frac{-2}{2}=-1

# points (6 , 5) and (9 , 8)

∵ d3=\sqrt{(9-6)^{2}+(8-5)^{2}}=\sqrt{18}

∵ m3=\frac{8-5}{9-6}=\frac{3}{3}=1

# points (9 , 8) and (7 , 10)

∵ d4=\sqrt{(7-9)^{2}+(10-8)^{2}}=\sqrt{8}

∵ m4=\frac{10-8}{7-9}=\frac{2}{-2}=-1

∵ d1 = d3 = √18 and d2 = d4 = √8

∴ Each two opposite sides are equal

∵ m1 = m3 = 1 and m2 = m4 = -1

∴ Each two opposite sides are parallel

∵ m1 × m2 = 1 × -1 = -1

∵ m2 × m3 = 1 × -1 = -1

∵ m3 × m4 = 1 × -1 = -1

∵ m4 × m1 = 1 × -1 = -1

∴ Each two adjacent sides are perpendicular

- The set of coordinates represents a figure has these properties:

1. Each two opposite sides are equal

2. Each two opposite sides are parallel

3. Each two adjacent sides are perpendicular

∴ The figure is a rectangle

8 0
3 years ago
What is the unit rate for 128 pounds of dog food for 16 dogs
kiruha [24]
There could be two unit rates for this problem. We find the unit rate by dividing how much something gets for however much it is. For example:

If we wanted to find out how many pounds of dog food each dog gets, we divide the pounds of dog food all of them get by how many dogs there are:

128/16 = 8

So each dog receives 8 pounds of dog food. This is one unit rate.

Another unit rate would be how many dogs does one pound of dog food feed. We calculate this by dividing the amount of dogs by the pounds of dog food they received:

16/128 = 1/8

So one pound of dog food feeds 1/8 of a dog, this is the other unit rate.
8 0
3 years ago
If 5c-2=3c, then 24c=
rewona [7]

Answer:

24

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
In the united states a person ears more than 40,000 pounds of bread in a lifetime if he or she lives to be 80 years old.Does thi
gogolik [260]

Answer:

A reality check quickly reveals that even if "eats" were spelled properly, the statement would still be nonsense.

Step-by-step explanation:

(40,000 pounds / 80 years) = (4,000 pounds / 8 years) = 500 pounds per year

500 pounds of bread per year = an average of a little more than 1-1/3 pound of bread per day, every day of a person's life.  My reality meter says that this is a bit much, especially in the USA.

3 0
3 years ago
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