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White raven [17]
2 years ago
7

What is the simplified expression for the perimeter of the polygon?

Mathematics
1 answer:
Tanzania [10]2 years ago
5 0
Not sure but i think b
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What is the measure of E
Verizon [17]

Answer:

The measure of angle E is:

m∠E = 80°

Step-by-step explanation:

Given

The triangle ΔDEF

It is stated that DE=EF and G is the midpoint of EF.

It means the midpoint G has converted the triangle into two equal right-angles triangles ΔDEG and ΔDFG with the right-angle at G.

Given

m∠GDE = 10°

As the right-angle triangle, ΔDEG lies at the right-angle G.

So, m∠DGE = 90°

as

m∠GDE = 10°

m∠DGE = 90°

m∠E = ?

We know that the sum of angles of a triangle is 180°.

m∠GDE + m∠DGE  + m∠E = 180°

10° + 90° + m∠E = 180°

100 + m∠E = 180°

m∠E = 180° - 100

m∠E = 80°

Therefore,

The measure of angle E is: m∠E = 80°

3 0
3 years ago
Alfonso and Lucas are 238 miles apart, traveling towards each other. If Lucas travels 21 mph and Alfonso travels 13 mph how long
Alex

Lucas equation for his location is x(t) = 13t.

Alfonso's equation is x(t) = 238 - 21t

If you equate these, you get:


13t = 238 - 21t =>

34t = 238

t = 7


So after seven hours they meet.

7 0
3 years ago
Two airplanes left the same airport and arrived at the same destination at the same time. The first airplane left at 8:00 a.m. a
ddd [48]

The formula for distance is equal to:

d = v * t

where d is distance, v is velocity or speed, and t is time

 

Since the distance travelled by the two airplane is similar, therefore we can create the initial equation:

 

v1 * t1 = v2 * t2

 

We know that v1 = 496, and v2 = 558 so:

 

496 t1 = 558 t2

or

x = 558 t2 / 496

 

We also know that airplane 1 travelled 30 minutes (0.5 hours) earlier than airplane 2, therefore:

 

x = t2 + 0.5

 

Hence,

496 (t2 + 0.5) = 558 t2

496 t2 + 248 = 558 t2

t2 = 4 hours

 

x = t2 + 0.5 = 4 + 0.5

x = 4.5 hours

 

 

So the equation is:

x = 558 t2 / 496

 

And the first plane travelled:

x = 4.5 hours

5 0
3 years ago
Here is a riddle: “I am thinking of two numbers that add up to 5.678. The difference between them is 9.876. What are the two num
Bumek [7]

Answer

:X + Y = 5.678

X ± 9.876 = Y

Step-by-step explanation:

needed points

4 0
3 years ago
Read 2 more answers
Let n be an integer in the conditional statement below.
statuscvo [17]

Answer:

The hypothesis is:   "The last digit of n is zero."

The conclusion is:   "n is divisible by five."

The converse is:   "If n is divisible by five, the the last digit of n is zero."

The contrapositive is:   "If n is not divisble by five, then n does not end in zero."

Step-by-step explanation:

I just took the test :)

5 0
3 years ago
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