All categories

3 years ago

Tangent WZ and secant WV intersect at point W. Find the value of X. If necessary, round to the hundredths place.

Mathematics

1 answer:

alexira [117]3 years ago

5 0

For the above figure, the formula is,

x² = WY (YV + WY)

WY = 5
YV = 12

Substituting in the above formula,

x² = 5 x (12 + 5)
x² = 5 x 17 = 85
x² = 85
⇒ x = √85 = 9.21954 = 9.220

You might be interested in

Using the image, determine the length of each arc. m RC= m CBR =

Montano1993 [528]

Given:

Given that the measure of ∠CDR = 85°

We need to determine the measure of $\widehat{RC}$ and $\widehat{CBR}$

Measure of arc RC:

Since, we know that if a central angle is formed by two radii of the circle then the central angle is equal to the intercepted arc.

Thus, we have;

$m\angle CDR = m \widehat{RC}$

Substituting the values, we get;

$85^{\circ} = m \widehat{RC}$

Thus, the measure of $\widehat{RC}$ is 85°

Measure of arc CBR:

We know that 360° forms a full circle and to determine the measure of arc CBR, let us subtract the values 360 and 85.

Thus, we have;

$m\widehat{CBR}=360^{\circ}-m \widehat{RC}$

Substituting the values, we have;

$m\widehat{CBR}=360^{\circ}-85^{\circ}$

$m\widehat{CBR}=275^{\circ}$

Thus, the measure of $\widehat{CBR}$ is 275°

6 0

3 years ago

3y=24 solve by inspection

Ulleksa [173]

Explanation: Division property of equality is dividing both sides of an equation by the same non-zero number does not change the equation.

a÷c=b÷c for c≠0

First, you divide by 3 both sides of an equation.

3y/3=24/3

Then, simplify.

24/3=8

8*3=24

24/8=3

y=8 is the final answer.

Hope this helps!

Thanks!

Have a great day!

6 0

3 years ago

Read 2 more answers

A home Improvement store advertises 60 ft.² of flooring for 287.00 including an 80.00 installation fee write an equation to repr

anastassius [24]

Answer:

$cost = \frac{287}{60} +80$

Step-by-step explanation:

So, for 60 square feet they charge = 287

So, for 1 square foot they charge = $\frac{287}{60}$

If they charge the installation fee this becomes = $\frac{287}{60} +80$

We can write an equation to calculate cost by using this $=\frac{287}{60} x +80$

Where x is the amount of square foot

3 0

2 years ago

In the slope intercept equation of a line which quantity is given by the constant term

ankoles [38]

The slope intercept form is y = mx + c.

The quantity given by the constant term c, is the vertical or y intercept.

It is the point where the line cuts the y axis, and this point, x = 0.

4 0

2 years ago

Anthony decided to buy two DVDs that were not included in the deal. His price after tax was $21.60. What was the cost of the two

dimulka [17.4K]

What was the Price before

8 0

2 years ago