Answer:
x=17
Step-by-step explanation:
-3x+24+27=0
51-3x
=-3(x-17)
x-17=0
x=17
The value of x is 9.
Solution:
Proportionality theorem:
<em>If a line is parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>
In the given triangle, the middle line is parallel to the base, so the sides are in the same ratio.
Do cross multiplication.
⇒ 9 × 56 = 72(3x – 20)
⇒ 504 = 216 x – 1440
Add 1440 on both sides of the equation.
⇒ 1944 = 216 x
Divide by 216 on both sides of the equation.
⇒ 9 = x
Switch the sides.
⇒ x = 9
The value of x is 9.
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Formula
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Area of circle = πr²
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Find radius
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πr² = 75
r² = 75 ÷ π
r² = 23.87
r = √23.87
r = 4.89 cm (nearest hundreds)
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Answer : radius = 4.89cm
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Answer:
First, Juliana should write the function as an equation that equates to f(x). She can do this by translating each of the action phrases stated in the question into the form of an expression.
Take the equation f(x) and find its inverse. In the equation, change f(x) to the y variable and switch the x and y variable. Then, isolate y by moving all values to the other side of the equal sign in the backwards order of operations. The y variable should then be changed to f⁻¹(x).
In the inverse function, substitute x for twenty-four and solve. In the final answer, leave in decimal form, rounded down if needed.