24 ft equals how many inches.

If and CX = 5 units, what is DZ?

NeTakaya

The question is missing the figure. So, it is attached below.

Answer:

DZ = 4 units

Step-by-step explanation:

Given:

CD || XZ

YC = 25 units, CX = 5 units, YD = 20 units.

We know that,

If CD is parallel to XZ , then the line CD divides the sides XY and YZ of the triangle XYZ proportionally. This is true by triangle proportionality theorem.

Therefore, the lengths YC, CX, YD and DZ are in proportion. This gives,

$\frac{YC}{CX}=\frac{YD}{DZ}$

Rewrite in terms of DZ. This gives,

$DZ=\frac{YD\times CX}{YC}$

Plug in $YC=25,CX=5,YD=20$ . Solve for DZ.

$DZ=\frac{20\times 5}{25}\\\\DZ=\frac{100}{25}=4$

Therefore, the length of DZ is 4 units.

3 0

3 years ago

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Identify the errors made in finding the inverse of y = x2 + 12x. x= y2 + 12x y2 = x - 12x y2=-11x y=-11x, for x > 0 Describe

oee [108]

Answer:

See the explanations below

Step-by-step explanation:

Given the function y = x²+12x

We are to find the inverse and identify the error in the calculation:

Step 1: Replace y with x

x = y²+12y

First Error: There is an error here y, the variable attached to x should be y and not x that is y = y²+12y and not y = y²+12x. The x should be totally replaced with

The second error is where he wrote y = √-11x

The square root of a value must return both negative and positive value not only the positive value. Hence the correct expression should have been y = ±√-11x (Note that the sign ± was introduced)

Third error: Since the value inside the square rot is a negative value hence the value of x must be negative i.e x must be less than zero not greater then. The correct inequality expression should have been x <0 and not

x< 0

4 0

3 years ago

Find the radiys of circle J. Segment KL has a length of 8 (ROUND YOUR ANSWER TO THE NEAREST TENTH)

FrozenT [24]

To find the x, let's look at the sketch below:

All we simply need to do is to use Pythagorars theorem to find y

x is a radius and y is also a radius

Hence x and y are congruent

So Using Pythagoras theorem

y² = 3.6² + 4²

y² = 12.96 + 16

y² = 28.96

Take the square root of both-side of the equation

y ≈ 5.4

Therefore, x= 5.4

5 0

2 years ago

Tennis balls are sealed in a pressurized container to maintain the rebound percentage

Darina [25.2K]

Answer:

Rounding the results to the next hundredth, we have:

Bounce 1: 2 * 0.55 = 1.10 meters

Bounce 2: 1.10 * 0.55 = 0.61 meters

Bounce 3: 0.61 * 0.55 = 0.34 meters

Bounce 4: 0.34 * 0.55 = 0.19 meters

Bounce 5: 0.19 * 0.55 = 0.10 meters

Bounce 6: 0.10 * 0.55 = 0.06 meters

Bounce 7: 0.06 * 0.55 = 0.03 meters

Step-by-step explanation:

Rebound percentage = 55% = 0.55

Bounce 1: 2 * 0.55 = 1.10 meters

Bounce 2: 1.10 * 0.55 = 0.605 meters

Bounce 3: 0.605 * 0.55 = 0.33275 meters

Bounce 4: 0.33275 * 0.55 = 0.1830125 meters

Bounce 5: 0.1830125 * 0.55 = 0.10065688 meters

Bounce 6: 0.10065688 * 0.55 = 0.05536128 meters

Bounce 7: 0.05536128 * 0.55 = 0.0304487 meters

Rounding the results to the next hundredth, we have:

Bounce 1: 2 * 0.55 = 1.10 meters

Bounce 2: 1.10 * 0.55 = 0.61 meters

Bounce 3: 0.61 * 0.55 = 0.34 meters

Bounce 4: 0.34 * 0.55 = 0.19 meters

Bounce 5: 0.19 * 0.55 = 0.10 meters

Bounce 6: 0.10 * 0.55 = 0.06 meters

Bounce 7: 0.06 * 0.55 = 0.03 meters

3 0

4 years ago

Round 50.714 to the nearest hundredth

defon

The answer would be 50.71

7 0

4 years ago

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