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Tanzania [10]
3 years ago
14

I'll give brainliest if you help me!!

Mathematics
1 answer:
hoa [83]3 years ago
6 0

Answer:

x = 8.7

Step-by-step explanation:

The triangles are congruent, which means that the sides are proportional to each other. Line DE and line BE are proportional to each other. This means that:

8 = 12

We can simplify this down to

2 = 3

Now that we have this proportion we can apply it to Lines AE and EC

2(13) = 3x

26 = 3x

8.67 = x

Therefore x is equal to 8.67 (or 8.7 rounded)

Check:

8/12 = 0.6667

8.6667/13 = 0.6667

Since both are the same, the answer is correct.

<em>I hope this helps!!</em>

<em>- Kay :)</em>

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James has noticed that the number of new tree branches that have grown on a tree in his backyard each year follows the sequence
eduard

Notice that the pattern is "previous term plus 2".  This is an arithmetic sequence where the difference (d) equals +2

a_{n} = a₁ + d(n - 1)   ; where a₁ is the first term, d is the difference, and n is the term.

f(n) = 1 + 2(n - 1)

f(n) = 1 + 2n - 2

f(n) = 2n - 1

********************************

f(10) = 2(10) - 1

f(10) = 20 - 1

f(10) = 19

7 0
3 years ago
Maggie was doing research for her Ph.D. in physics when a 12 mg sample of radioactive material decayed to 3 mg in 26 minutes. De
netineya [11]

The general way to work this out is to solve the general expression for
the remaining quantity versus half-life, using logarithms.  But that's not
necessary with these numbers.

Look at the numbers:

-- 3 mg is  1/4  of  12 mg.

-- 1/4  is the product of  (1/2) x (1/2).

-- So the  3 mg is what's left of  12 mg after  2  half-lives.
The  26  minutes must be two half-lives.

-- The half-life of that substance is  26/2 = <em>13 minutes</em>.

Go Maggie !

3 0
4 years ago
In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horiz
BabaBlast [244]

Answer:

C (2, -1)

Step-by-step explanation:

C has the same x coordinate as A = 2

that eliminates A and B.

and the y value of C has to be closer to the y value of B than to the y value of A (due to the 5:3 ratio).

so, without spending unnecessary effort on actual calculation, we can directly derive the correct answer to be C.

but to show in numbers, the "coordinate triangle" of the difference between D and B is a similar triangle to ACD. and so, the ratio of one side pair applies then to all other sides too. including the individual coordinate differences.

so, also the y difference of A to D relates to the y difference between D and B in the same ratio of 5:3 of the overall y difference of A to B.

the y difference A to B is 2 - -6 = 8

the 5/3 split of 8 units is actually 5 and 3.

so, the y coordinate of D is -6 + 5 = -1

and C must have the same y coordinate.

therefore, it is proven that answer C (2, -1) is the right answer.

4 0
3 years ago
Help me please and thank you
Fittoniya [83]

There are 650 toothpicks in a regular sized box.

That is the volume of the box = 650 toothpicks

Jumbo box is made by doubling all the dimensions.

We know volume = length * width * height = L*W*H

We double all the dimensions for Jumbo box

L becomes 2L

W become 2W

H becomes 2H

Volume of Jumbo box = 2L * 2W * 2H = 8*L*W*H

Volume of jumbo box = 8 * volume of small box

= 8 * 650= 5200

The Jumbo box holds 5200 toothpicks .

7 0
4 years ago
Help someone plzzzzzzz
mafiozo [28]
The answer to the problem is
y=1/2x
3 0
3 years ago
Read 2 more answers
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