Use cross multiplication so you have
7/x = 2/4
multiple 7 and 4 to get 28 and multiply x and 2 to get 2x and set them equal to each other
so your new equation is 2x=28 and then you just need to solve for x
The answer is x=14
Answer:
x = 9
Step-by-step explanation:
Simplifying
17x + -12 = 114 + 3x
Reorder the terms:
-12 + 17x = 114 + 3x
Solving
-12 + 17x = 114 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-12 + 17x + -3x = 114 + 3x + -3x
Combine like terms: 17x + -3x = 14x
-12 + 14x = 114 + 3x + -3x
Combine like terms: 3x + -3x = 0
-12 + 14x = 114 + 0
-12 + 14x = 114
Add '12' to each side of the equation.
-12 + 12 + 14x = 114 + 12
Combine like terms: -12 + 12 = 0
0 + 14x = 114 + 12
14x = 114 + 12
Combine like terms: 114 + 12 = 126
14x = 126
Divide each side by '14'.
x = 9
Simplifying
x = 9
There are 8 test scores and 4 of them are lower than 73. 4/8 = .5 or 50%
So 50% of these test scores are less than 73.
<h3>
Answer: 10.1 cm approximately</h3>
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Explanation:
The double tickmarks show that segments DE and EB are the same length.
The diagram shows that DB = 16 cm long
We'll use these facts to find DE
DE+EB = DB
DE+DE = DB
2*DE = DB
DE = DB/2
DE = 16/2
DE = 8
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Now let's focus on triangle DEC. We just found the horizontal leg is 8 units long. The vertical leg is EC which is unknown for now. We'll call it x. The hypotenuse is CD = 9
Use the pythagorean theorem to find x
a^2+b^2 = c^2
8^2+x^2 = 9^2
64+x^2 = 81
x^2 = 81 - 64
x^2 = 17
x = sqrt(17)
That makes EC to be exactly sqrt(17) units long.
If you follow those same steps for triangle ADE, then you'll find the missing length is AE = 6
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So,
AC = AE+EC
AC = 6 + sqrt(17)
AC = 10.1231056256177
AC = 10.1 cm approximately
