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3 years ago

Geometry need help. Will give brainlieest.

Mathematics

1 answer:

Elenna [48]3 years ago

4 0

Answer:

x = 8

Step-by-step explanation:

The line segment inside the triangle is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is

$\frac{11x-4}{9x}$ = $\frac{7x}{6x}$ ( cross- multiply )

6x(11x - 4) = 63x² ← distribute left side

66x² - 24x = 63x² ( subtract 63x² from both sides )

3x² - 24x = 0 ← factor out 3x from each term on the left side

3x(x - 8) = 0

Equate each factor to zero and solve for x

3x = 0 ⇒ x = 0

x - 8 = 0 ⇒ x = 8

But x > 0 , then x = 8

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–0.2(x – 20) = 44 – x

GarryVolchara [31]

$-0.2(x-20)=44-x\qquad\text{use distributive property}\\\\-0.2x+4=44-x\qquad\text{subtract 4 from both sides}\\\\-0.2x=40-x\qquad\text{add x to both sides}\\\\0.8x=40\qquad\text{divide both sides by 0.8}\\\\x=\dfrac{40}{0.8}\\\\x=\dfrac{400}{8}\\\\\boxed{x=50}$

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3 years ago

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The fitness center needs $125,000 in five years for more workout machines. Find the total interest earned if payments are made a

Sergio039 [100]

Answer:

$38,562.5

Step-by-step explanation

Using the compound interest formula

A = P(1+r/n)^nt

P is the principal = $125,000

r is the rate = 6% = 0.06

time t = 5years

n = 0.25 (quarterly payment)

Substitute

A = 125000(1+0.06/0.25)^5(0.25)

A = 125000(1+ 0.24)^1.25

A = 125000(1.24)^1.25

A = 125000(1.3085)

A = 163,562.5

Hence the interest earned = 163,562.5 - 125000

interest earned = $38,562.5

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2 years ago

PLS HELP!!!!!!!!!!!!!!!!!!!!

Alexandra [31]

B because of the corresponding angles therom

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3 years ago

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What is 3/4 plus 4 1/2

pochemuha

Answer:

21/4

Step-by-step explanation:

4 1/2 is 9/2 is 18/4

18/4+3/4=21/4

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3 years ago

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Which statement describes the end behavior of the exponential function f(x) = 2x – 3?

charle [14.2K]

The <u>correct answer</u> is:

As x→-∞, y→-3.
As x→∞, y→∞.

Explanation:

As our values of x get further into the negative numbers, the value of 2ˣ will approach 0. This is because raising a number to a negative exponent "flips" the number below the denominator and raises it to a power; we end up with smaller and smaller fractions, eventually so small that they nearly equal 0.

This will make the value of the function 0-3=-3.

As x gets larger and larger (towards ∞), the value of y, 2ˣ, continues to grow as well. Since it continues to grow exponentially, we say the value approaches ∞.

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3 years ago

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