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3 years ago

What is the measure of x?

Mathematics

1 answer:

UkoKoshka [18]3 years ago

7 0

Answer:

x=4

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x+5) *x = 6^2

x^2 +5x = 36

Subtract 36 from each side

x^2 +5x - 36 = 0

Factor

( x-4) (x+9) = 0

Using the zero product property

x-4 = 0 x+9 =0

x = 4 x=-9

Cannot be negative since that is negative length

x=4

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In which of the options below will the number 3 correctly fill in the blank. Select all that apply. A) ___ : 4 = 12 : 16 B) 1 :

aniked [119]

Answer:

A and B

Step-by-step explanation:

Given

List of given options

Required

Which will correctly take 3 to fill the blank

Represent the blanks with x

Option A:

$x : 4 = 12 : 16$

Convert to fractions

$\frac{x}{4} = \frac{12}{16}$

Multiply through by 4

$4 * \frac{x}{4} = 4 * \frac{12}{16}$

$x = \frac{48}{16}$

$x = 3$

Option B:

$1 : 5= x : 15$

Convert to fraction;

$\frac{1}{5} = \frac{x}{15}$

Multiply through by 15

$15 * \frac{1}{5} = \frac{x}{15} * 15$

$15 * \frac{1}{5} = x$

$3 = x$

$x = 3$

Option C:

$x : 1 = 12 : 3$

Convert to fraction

$\frac{x}{1} = \frac{12}{3}$

$x = 4$

Option D

$15:x = 3:1$

Convert to fraction

$\frac{15}{x} = \frac{3}{1}$

Cross Multiply

$3 * x = 15 * 1$

$3 * x = 15$

Divide through by 3

$x = 5$

From the above calculations.

<em>Option A and B can be filled with 3</em>

5 0

3 years ago

the value of y varies directly with x, and when x = 1/4 , y = 25. What is the value of y when x is 2 1/3 need help ASAP

Grace [21]

Answer:

$y=233\frac{1}{3}$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In this problem we have

For $x=1/4, y=25$

Find the value of k (constant of proportionality)

$y/x=k$ -----> $k=25/(1/4)=100$

The linear equation is

$y=100x$

Find the value of y when the value of $x=2\frac{1}{3}$

substitute the value of x in the equation but first convert to an improper fraction

$x=2\frac{1}{3}=\frac{2*3+1}{3}=\frac{7}{3}$

$y=100(\frac{7}{3})=\frac{700}{3}$

convert the result in mixed number

$\frac{700}{3}=\frac{699}{3}+\frac{1}{3}=233\frac{1}{3}$

3 0

4 years ago

Find the area of a circle with a Radius = 4 ft. Use 3.14 for and round to 2 decimal places.

bagirrra123 [75]

Answer:

50.24 ft^2

Step-by-step explanation:

Well formula for area of a circle is pi(radius)^2

so the radius is 4 so you square that it’ll be 16

then do 16(3.14)

you’ll get 50.24

6 0

3 years ago

Read 2 more answers

The sum of four consecutive integers is -42. What are the integers?

bezimeni [28]

-9,-10,-11,-12 are they
-42:4=10.5 so the avarage is 10.5 which means the numbers are those

6 0

3 years ago

14 over 10/ _____ = 7

Lorico [155]

14/10 is 1.4 , 1.4/ 0.2 is 7 so 0.2 is the answer

7 0

3 years ago