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schepotkina [342]
3 years ago
11

Find x. Side splitter theorem

Mathematics
1 answer:
professor190 [17]3 years ago
3 0

Answer:

x = 9

Step-by-step explanation:

The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is

\frac{8}{8+4} = \frac{x-3}{x} , that is

\frac{8}{12} = \frac{x-3}{x} ( cross- multiply )

12(x - 3) = 8x

12x - 36 = 8x ( subtract 8x from both sides )

4x - 36 = 0 ( add 36 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9

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nikdorinn [45]
Well she would need about 11.5 gallons of gas times 1.89 is $21.73 hope this helps
5 0
3 years ago
Mm<br> E<br> 9. Solve: 3(x+4) ≤36<br> x&gt; 8<br> x≤8<br> x≤12<br> X&gt;12
vampirchik [111]

Step-by-step explanation:

3(x+4) ≤ 36

3x + 12 ≤ 36

3x ≤ 24

x ≤ 8

4 0
2 years ago
Read 2 more answers
3.753 rounded to the nearest tenth
Archy [21]
The tenth place will be the number right after the decimal "." You have to look at the number behind the 7 to see if the 7 will stay at 7 or if it will round up to 8. Since 5 means you round up, you round the 7 to an 8, giving you:

3.8
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3 years ago
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You are making fruit baskets using 54 apples, 36 oranges, and 73 bananas. a. Explain why you cannot make identical fruit baskets
GrogVix [38]
Question 1:
73 is a prime number. It can only be divided by 1 and by itself. 

The GCF of the three numbers:
 54                               36                            73
1×54                           1×36                          1×73
2×27                          2×18
3×18                           3×12
6×9                            4×9
                                   6×6

GCF of 54, 36 and 73  is 1

GCF of 54 and 36 is 18

If we divide 54 apples into 18 baskets, we have 3 apples in each basket
If we divide 36 oranges into 18 baskets, we have 2 oranges in each basket
If we divide 73 bananas into 18 baskets, we have 4 bananas in each basket + one banana left over.

So the greatest number of identical fruit baskets we can make with the least amount of fruit left over is 18 baskets
6 0
3 years ago
20 POINTS Find the diameter?? Pls help I dont know what to do..
Akimi4 [234]

Answer:

Diameter = 19.33

Step-by-step explanation:

Imaging a radius line from O to the endpoints of the 7. call this line R.

Label the part of the vertical line from O to the 90 degree intersection y.

Now you have a right triangle.

Using the Pythagorean theorem:

R² = 7² + y²

also

y = R - 3

substitute for y:

R² = 49 + (R-3)²

R² = 49 + R² - 6R + 9

simplify:

0 = 58 - 6R

6R = 58

R = 9.6667

Diameter = 2(9.6667) = 19.33

7 0
3 years ago
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