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nekit [7.7K]
3 years ago
5

Abc is an equilateral triangle and has an area of 8/5. point d is the midpoint of side ab, point e is the midpoint of side bc, a

nd point f is the midpoint of side ac. what is the area of the parallelogram decf?
a.2/5
b.2/3
c.4/5
d.13/15
e.1
Mathematics
1 answer:
nlexa [21]3 years ago
6 0
Hello,

There are 4 congurent equilateral triangles in ABC and each has an area of (8/5)/4=2/5.
To form the parallelogram we need 2 triangles: 2* 4/5=4/5.

Answer C.
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The square of a number plus three times the number is 70. find the numbers.
Harrizon [31]

Answer:

Step-by-step explanation:

The equation for that is

x^2+3x=70

If we subtract over the 70, we have a quadratic that we can factor to solve for the values of x that will make that equation true.

x^2+3x-70=0

Now we need the factors of 70 that will either add or subtract to give us the linear term of 3. The factors of 70 that will work are 10 and 7. 10 times 7 is 70, and 10 - 7 = 3:

x^2+10x-7x-70=0 and now we will factor by grouping:

(x^2+10x)-(7x-70)=0 and factor out what's common:

x(x+10)-7(x+10)=0

The factor (x + 10) is common, so we will now factor that out:

(x+10)(x-7)=0

By the Zero Product Property, either x + 10 = 0 or x - 7 = 0, so x = -10 or 7

Those are the 2 numbers that will work.

(-10)^2+3(-10)=70 simplifies to

100 - 30 which does in fact equal 70. OR

(7)^2+3(7)=70 which simplifies to

49 + 21 which also equals 70.

So you're done!

3 0
3 years ago
Help me :,)
IrinaK [193]

Answer:

The rule of the arithmetic sequence is 13 - 2n

The 30th term is -47

Step-by-step explanation:

∵ f(n) = 11 and g(n) = -2(n - 1) = -2n + 2

∴ f(n) + g(n) = 11 + -2n + 2 = 13 - 2n

Use n = 1 , 2 , 3 , 4 to check the type of the sequence

∵ n = 1 ⇒ 13 - 2(1) = 11

∵ n = 2 ⇒ 13 - 2(2) = 13 - 4 = 9

∵ n = 3 ⇒ 13 - 2(3) = 13 - 6 = 7

∵ n = 4 ⇒ 13 - 2(4) = 13 - 8 = 5

∵ 11 , 9 , 7 , 5 is an arithmetic sequence with difference -2

∴ The rule of the arithmetic sequence is 13 - 2n

∴ The 30th term = 13 - 2(30) = -47

5 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Cfrac%7Ba%5E%7B3%7Db%5E%7B5%7D%7D%7Ba%5E%7B4%7Db%7D" id="TexFormula1" title="\frac{a^{3}b^{5
aliina [53]

Answer:

b^4 / a

Step-by-step explanation:

I have attached the explanation above. hopefully this will help

3 0
3 years ago
A trapezoid has an area of 780 square meters. The height of the trapezoid is 40 ​meters, and the length of the longer base is tw
o-na [289]

Answer:

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6 0
3 years ago
What is pi minus pi plus pi divided by pi x 25.9. WILL MARK BRAINLIEST
mestny [16]

Answer:

25.9

Step-by-step explanation:

25.9

pi-pi+pi/pi is 0+(1*25.9) which is 25.9

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8 0
3 years ago
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