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quester [9]
3 years ago
7

In this picture B,D, and Fare midpoints. AC=50, CE=60, and BD=35 DF=[?]

Mathematics
1 answer:
gladu [14]3 years ago
4 0

Answer:

25

Step-by-step explanation:

The smaller triangle is constructed by joining the 3 midpoints. Every line in that smaller triangle is parallel and 1/2 the size of the line not joined by the 2 given midpoints.

In this case 1/2 AC = 1/2 * 50 = 25

The length of DF = 25

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Proof by Contradiction : Show that √ 2 is irrational.
myrzilka [38]

Answer:

\sqrt2 is irrational

Step-by-step explanation:

Let us assume that \sqrt2 is rational. Thus, it can be expressed in the form of fraction \frac{x}{y}, where x and y are co-prime to each other.

\sqrt2 = \frac{x}{y}

Squaring both sides,

2 = \frac{x^2}{y^2}

Now, it is clear that x is an even number. So, let us substitute x = 2u

Thus,

2 = \frac{(2u)^2}{y^2}\\y^2 = 2u^2

Thus, y^2is even, which follows the fact that y is also an even number. But this is a contradiction as x and y have a common factor that is 2 but we assumed that the fraction \frac{x}{y}  was in lowest form.

Hence, \sqrt2 is not a rational number. But \sqrt2 is a an irrational number.

5 0
4 years ago
What is 4 1/2 - 2 2/5 in simplest form
Serggg [28]

Answer: 2 and 1/10

Step-by-step explanation: To subtract mixed numbers, we first subtract the fractions.

Notice that 1/2 and 2/5 are unlike fractions so we need a common denominator which in this case is 10. <em>If you need a review on how to find the common denominator for these fractions, let me know in the comments below and I will be more than happy to explain</em>.

To get a 10 in the denominator of 1/2, we multiply the numerator and the denominator by 5 to get 5/10. To get a 10 in the denominator of 2/5, we multiply the numerator and denominator by 2 to get 4/10.

So we have 4 and 5/10 - 2 and 4/10.

Subtracting the fractions, 5/10 - 4/10 is 1/10 and subtracting the whole numbers, 4 - 2 is 2. So 4 and 1/2 - 2 and 2/5 is 2 and 1/10.

4 0
3 years ago
3/8 of the homes have a red door how many homes have a red door​
joja [24]

Answer:

three out of the eight homes have red doors. so 3 homes have red doors

Step-by-step explanation:

3 0
3 years ago
What is the answer to a chef needs to cook 9 potatoes.He has already cooked 7.If each potato takes 3 minutes to cook,how long wi
jok3333 [9.3K]

Answer:it will it take him 6 minutes to cook the rest.

Step-by-step explanation:

The chef needs to cook a total of 9 potatoes. He has already cooked 7 potatoes. That means that the number of uncooked potatoes left is total number of potatoes - number of cooked potatoes. It becomes

9-7 = 2 potatoes

If each potato takes 3 minutes to cook, this means that 2 potatoes will take 3 minutes × 2 j = 6 minutes

Since there are only 2 potatoes left uncooked, it will it take him 6 minutes to cook the rest.

4 0
3 years ago
Read 2 more answers
A rectangle piece of land is 400m*150m.Find the cost of the piece of land if one square meter of land costs ₹15,000.​
Andrew [12]

Answer:

900000000

Step-by-step explanation:

Area=400×500

=60000m²

Since

1m² = 15000

60000m² = x

x = 60000×15000

x = 900000000

5 0
3 years ago
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