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Advocard [28]
2 years ago
9

Using the following​ diagram, solve for x. Show work

Mathematics
1 answer:
Alex17521 [72]2 years ago
6 0

Answer:

x = 7.5

Step-by-step explanation:

A line parallel to a side of a triangle and intersecting the other 2 sides, divides those sides proportionally, that is

\frac{8}{10} = \frac{6}{x} ( cross- multiply )

8x = 60 ( divide both sides by 8 )

x = \frac{60}{8} = 7.5

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In 2016, the population of the United States was approximately 3.24 x 10^8. It is expected that the population will be about 3.9
aleksandrvk [35]

Answer:

7.4 x 10^7

Step-by-step explanation:

3.98 x 10^8 - 3.24 x 10^8 = 0.74 x 10^8 (not scientific notation, because it isn't full number)

0.74 x 10^8 ---> 7.4 x 10^7

   - got seven by counting the spaces it moved over (right decrease, while left increases)

5 0
4 years ago
A baker decorates 42cupcakes in 30 minutes. She decorates cupcakes at a constant rate.
eimsori [14]

Answer: 1.4 min per min

Step-by-step explanation: sorry if wrong

8 0
2 years ago
The area of this square
ANEK [815]

It appears as if 12cm is half the length of the side so we can assume that the total length of one side is 24cm.


The area of a square is given by the equation A=s^{2} where s is the length of the side.  

A=24^{2}

A=576


The area of this square is 576cm2.


Hope this helps!

7 0
3 years ago
A 40 oz jar of peanut butter costs 5.25. how much does a 100 oz jar cost
Karolina [17]

Answer:

13.13

Step-by-step explanation:

5.25 x 100/40 is 13.125 which rounds up to 13.13

7 0
3 years ago
Read 2 more answers
Help please quickly!!!!!!1
IgorLugansk [536]

Answer:

9

Step-by-step explanation:

As per the problem, the given triangle is a right triangle. This is signified by the box around one of its angles, this box states that the angle it is surrounding is a right angle.

Since it is a right triangle, one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that; (a^2 + b^2 = c^2), where (a) and (b) are the legs of the right triangle, or the sides adjacent to the right angle. (c) is the hypotenuse or the side opposite the right angle.

Substitute in the given values and solve, note that (a) represents the unknown leg (side).

a^2 + b^2 = c^2\\\\a^2 + (\sqrt{19})^2 = (100)^2\\\\a^2 + 19 = 100

Inverse operations,

a^2 + 19 = 100\\-19\\\\a^2 = 81\\\\a = \sqrt{81}\\\\a = 9

8 0
3 years ago
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