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sveta [45]
3 years ago
12

3 Solve for x. 1 14 10 56 40 " 14 56

Mathematics
1 answer:
Nesterboy [21]3 years ago
5 0

Answer:

12

Step-by-step explanation:

the shapes are similar which means the sides are proportional, you can set up a ratio using the sides as 10/40 = 3/x

solving that gives you x =12

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The difference of the squares of two positive consecutive even integers is 44 find the integers use the fact that if X represent
TiliK225 [7]

Answer:

The 2 integers are 10 and 12

Step-by-step explanation:

Translate it into english

"The difference (some subtraction) of the squares of two positive consecutive integers (x^2 and (x+2)^2) is (=) 44 (44)"

this means the following:

(x+2)^2-x^2=44

solve for x to find the smaller integer

first, expand

(x^2+4x+4)-x^2=44

x^2+4x+4-x^2=44

4x+4=44

4x=40

x=10\rightarrow x+2=10+2=12

The 2 integers are 10 and 12

3 0
3 years ago
Question 1 through 6 . <br> THANKS.
Sergio039 [100]
Remember, these are quadrilaterals, so they must add up to 360°. Just add up the angles and then do 360 minus that number to solve for x. Therefore: 1. 118 + 90 + 99 = 307 360 - 307 = 53 2. 110 + 96 + 78 = 284 360 - 284 = 76 3. 48 + 118 + 97 = 263 360 - 263 = 97 4. 105 + 99 + 64 = 268 360 - 268 = 92 5. 103 + 63 + 113 = 279 360 - 279 = 81 6. 95 + 80 + 88 = 263 360 - 263 = 97
4 0
3 years ago
3 numbers are in arithmetic progression their sum is15 and their product is 80 determine the 3 numbers
Mashcka [7]

Answer:

2, 5, 8

Step-by-step explanation:

For starters, let us assume that the numbers are x-d, x, and x+d.

Where d is the common difference between terms.

This mean that we can say, from the question

x-d + x + x+d = 15

3x = 15,

x = 5,

This means that the terms are 5, 5-d and 5+d.

On the other hand,

(5-d) * 5 * (5+d) = 80

(5-d) * (5+d) = 80/5

(5-d) * (5+d) = 16

25 - d² = 16

d² = 9

d = + or - 3.

Finally, the three numbers will be 2, 5, and 8. On the flipside, their sum and product are 15 and 80.

6 0
3 years ago
What is the exact value of the exponential equation, 4(10)5x=200 ?
Rasek [7]

Answer:

4(10)5x=200 = x=log50 / 5

Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
The difference of six times a number and four is twenty. Find the number.
lys-0071 [83]

Answer:

8/3 or 2.667

Step-by-step explanation:

6x+4=20

20-4= 16

6x/6=x

16/6=8/3 or 2.667

8 0
3 years ago
Read 2 more answers
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