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viva [34]
2 years ago
5

Triangle ABC is congruent to triangle DEF. If DE = 41, EF = 23, DF = 36, and AC = 5x − 9, what is x? Round to the nearest tenth.

Mathematics
1 answer:
attashe74 [19]2 years ago
6 0

The value of x in the triangles is 9.0

<h3>How to determine the value of x?</h3>

The given parameters are:

Triangle ABC is congruent to triangle DEF.

DE = 41,

EF = 23,

DF = 36

AC = 5x − 9

Side AC corresponds to DF

So, we have

5x - 9 = 36

Add 9 to both sides

5x = 45

Divide by 5

x = 9.0

Hence, the value of x is 9.0

Read more about congruent triangle at

brainly.com/question/1675117

#SPJ1

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The answer is either x=\frac{-1}{2}+\frac{1}{2}\sqrt{2005}\\ or x=\frac{-1}{2}+\frac{-1}{2}\sqrt{2005}

To solve: Let's solve your equation step-by-step.

5x2+5x−x2−x=2004

Step 1: Simplify both sides of the equation.

4x2+4x=2004

Step 2: Subtract 2004 from both sides.

4x2+4x−2004=2004−2004

4x2+4x−2004=0

Step 3: Use quadratic formula with a=4, b=4, c=-2004.

x= −b±√b2−4ac /2a

x= −4±√32080 /8

x=\frac{-1}{2}+\frac{1}{2}\sqrt{2005}\\ or x=\frac{-1}{2}+\frac{-1}{2}\sqrt{2005}

4 0
3 years ago
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What is the percent of change from 60 to 87?
stiv31 [10]

Answer:

45% increase

Step-by-step explanation:

The new number (87) is bigger than the original number (60), so this is a percent increase.

To find the percent of change, which in this case is a percent increase, take the change amount and divide by the original, then convert to a percent.

Subtract to find the change.

87 - 60 is 27.

27 is the amount of change.

change/original

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Times by 100 to change to a percent.

.45 × 100

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8 0
2 years ago
the function f(x)= sqrt x is translated left 5 units and up 3 units to create the function g(x). what is the domain of g(x)?
Zinaida [17]

Answer:

x ≥ -5

Step-by-step explanation:

If we have a translation to left c units, we write " x + c " in the function, and

If we have a translation to right c units, we write " x - c" in the function

If we have vertical translation up b units, we "add b to the function", and

If we have vertical translation down b units, we "subtract b to the function"

The parent function is  f(x)=\sqrt{x}

Since translation left 5 units and up 3 units, we can write:

f(x)=\sqrt{x+5} + 3

The domain is affected by the square root sign and we know the number under the square root CANNOT be negative, so we can say:

x + 5 ≥ 0

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This is the domain.

3 0
4 years ago
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Which statement is true about the solution ?
Harrizon [31]

Answer:

There are no real solutions to this equation

Step-by-step explanation:

4 0
3 years ago
Correct/best answer will get brainliest!
vodka [1.7K]
The answer would be b.100 because its clearly not a right triangle
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