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Vlada [557]
3 years ago
6

How do you prove a rectangle in geometry?

Mathematics
1 answer:
dedylja [7]3 years ago
6 0

- The opposite sides are parallel and congruent. - The diagonals bisect each other.

- There are 4 right angles. - The diagonals are congruent.

- Show that both pairs of opposite sides are congruent.

You might be interested in
Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries. He plans to achieve this goal by visi
olasank [31]

Given :

Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries.

He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years.

To Find :

Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal.

Solution :

Let, after x years Abraham visited y countries.

It is mathematically given as :

10 + 5x=y

Now, it is given that his goal is minimum of 50 countries.

So,

10+5x \ge 50\\\\5x\ge 40\\\\x \ge 8

Therefore, minimum years required to meet his goals are 8.

Hence, this is the required solution.

4 0
3 years ago
Find the domain for the particular solution to the differential equation dy dx equals the quotient of 3 times y and x , with ini
Svetach [21]
For this case we have the following difference equation:
 dy / dx = 3xy

 Applying separable variables we have:
 dy / y = 3xdx

 Integrating both sides we have:
 \int\ ({1/y}) \, dy =  \int\ {3x} \, dx
 ln (y) = (3/2) x ^ 2 + C

 applying exponential to both sides:
 exp (ln (y)) = exp ((3/2) x ^ 2 + C)

 y = C * exp ((3/2) x ^ 2)
 For y (1) = 1 we have:
 C = 1 / (exp ((3/2) * 1 ^ 2))

C = 0.2
 Thus, the particular solution is:
 y = 0.2 * exp ((3/2) x ^ 2)

 Whose domain is all real.
 Answer:
 y = 0.2 * exp ((3/2) x ^ 2)
 Domain: all real numbers
6 0
3 years ago
Robin invests $3,210 in an account that is compounded annually and pays
igor_vitrenko [27]

Answer:

the factor is an increasing value of 17/332 or the power of pointed answers of interest of 3.4% which makes it aroujd 2 but doesnt matter because its the factor and not issued investment

Step-by-step explanation:

8 0
2 years ago
3 part question
eimsori [14]

Answer:

^62 with a numertor of 66 you divide by .21

Step-by-step explanation:

5 0
2 years ago
4: A school has 314 boys & 310 girls. If they are to be grouped into equal classes of 26 each , how many classes will there
kherson [118]

4: A school has 314 boys & 310 girls. If they are to be grouped into equal classes of 26 each , how many classes will there be?

314 boys + 310 girls = 624

If they are grouped into classes of 26 students each, how many class will there be?

130 students = 5 classes

Therefore

260 students = 10 classes

260 x 2 = 520 = 20 classes

26 x 24 = 624

Number of classes = 24

Question 5).

Jim worked 48 weeks last year. Each week he worked 38 hours. If he worked an additional 240 hours of overtime, how many hours did he work in all?

Solution:

48 weeks

24hrs × 7 = 168hrs

168 x 48 = 8,064

Additional 240hrs

= 168hrs = 7 days (a week)

240hrs - 168 = 72 (3days)

168 + 72

= 240hrs + 8, 064

= 8, 304 hrs

6 0
3 years ago
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