1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
svetoff [14.1K]
2 years ago
14

Solve for x. A. 37 B. 27 C. 30 D. 31

Mathematics
1 answer:
dexar [7]2 years ago
8 0

Answer:

B

Step-by-step explanation:

The formula for finding the relationship between a secant and a tangent is

tangent length ^2 = external segment secant/full length of secant

In this case

60^2 = 48*(x + 48)                   Expand

3600 = 48*(x + 48)                  Remove the brackets/

3600 = 48x + 48^2                 Expand

3600 = 48x + 2304                Subtract 2304 from both sides

3600 - 2304 = 48x              

1296 = 48x                              Divide both sides by 48

1296 / 48 = x        

x = 27

You might be interested in
On a coordinate plane, triangle A B C is shown. Point A is at (0, 0), point B is at (3, 4), and point C is at (3, 2). What is th
Elena L [17]

Answer:

The area of triangle for the given coordinates is  1.5\sqrt{4.6}

Step-by-step explanation:

Given coordinates of triangles as

A = (0,0)

B = (3,4)

C = (3,2)

So, The measure of length AB = a = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}

Or, a = \sqrt{(3-0)^{2}+(4-0)^{2}}

Or, a =  \sqrt{9+16}

Or, a =   \sqrt{25}

∴ a = 5 unit

Similarly

The measure of length BC = b = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}

Or, b = \sqrt{(3-3)^{2}+(2-4)^{2}}

Or, a =  \sqrt{0+4}

Or, b =   \sqrt{4}

∴ b = 2 unit

And

So, The measure of length CA = c = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}

Or, c = \sqrt{(3-0)^{2}+(2-0)^{2}}

Or, c =  \sqrt{9+4}

Or, c =   \sqrt{13}

∴ c = \sqrt{13} unit

Now, area of Triangle written as , from Heron's formula

A = \sqrt{s\times (s-a)\times (s-b)\times (s-c)}

and s = \frac{a+b+c}{2}

I.e  s = \frac{5+2+\sqrt{13}}{2}

Or. s =  \frac{7+\sqrt{13}}{2}

So, A = \sqrt{(\frac{(7+\sqrt{13})}{2})\times ((\frac{(7+\sqrt{13})}{2})-5)\times (\frac{7+\sqrt{13}}{2}-2)\times (\frac{7+\sqrt{13}}{2}-\sqrt{13})}

Or, A = \sqrt{(\frac{(7+\sqrt{13})}{2})\times (\frac{(\sqrt{13}-3)}{2})\times (\frac{4+\sqrt{13}}{2})\times (\frac{7-\sqrt{13}}{2})}

Or, A = \frac{3}{2} × \sqrt{1+\sqrt{13} }

∴  Area of triangle = 1.5\sqrt{4.6}

Hence The area of triangle for the given coordinates is  1.5\sqrt{4.6}  Answer

7 0
3 years ago
Read 2 more answers
-3x+3y=3<br> -5x+y=13<br> Solve for substitution
vladimir1956 [14]
Take -5x + y =13 and rearrange for y:
y=13+5x

Substitute into other equation for y:
-3x+3(13+5x)=3

Multiply out brackets:
-3x+39+15x=3

Simplify:
12x+39=3

Rearrange for x:
12x=-36
x=-3

Substitute back into y=13+5x:
y=13+5(-3)
y=13-15
y=-2

8 0
3 years ago
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!
Doss [256]

Answer:

12 x 9 (12 on the top and bottom and 9 on the sides)

Step-by-step explanation:

100 km = 2 units, or 2 boxes

450 x 2/100 = 900/100 = 9

(not sure if this would help or not)

4 0
2 years ago
Round to the nearest tenth. 99.61
dusya [7]
99.60 or 100.00? I haven’t done this for a longgggg time
4 0
2 years ago
Read 2 more answers
After a power failure, the temperature in a freezer Increased at an average rate of 3.5 °F per hour. The total Increase was 24.5
inna [77]

Answer:

3.5x=24.5

3.5x7=24.5

X=7

Step-by-step explanation:

3.5 times what equals 24.5

3.5x1=3.5

3.5x2=7

3.5x3=10.5

Keep doing this and increase the number you are multiplying 3.5 by until your answer is 24.5.

8 0
3 years ago
Other questions:
  • Population growth can be modeled using the formula 2003-01-03-00-00_files/i0140000.jpg, where C is the initial population, r is
    7·1 answer
  • What is 204,902 is scientific notation? also 124,510 in scientific notation.
    6·2 answers
  • If the measures of two angles of a triangle are 92degrees and 22degrees​, what is the measure of the third​ angle?
    13·1 answer
  • Adrian knows that the quotient of 0.75 divided by 0.8 is less than 1. He knows that the quotient of 0.8 divided by 0.75 is great
    12·1 answer
  • Select the shapes that are similar to shape A.
    5·1 answer
  • I need Help with this Math Problem Plz Help<br> TRUE OR FALSE QUESTION
    5·2 answers
  • in the Venn diagram 60 farms only grow potatoes or sugar beets 4/5 of these 60 farms grow potatoes the number of farms that grow
    9·2 answers
  • Line AB, segment DF, and segment CE are drawn. Segments DF and CE intersect at point Z. Which statement about the diagram is tru
    8·1 answer
  • What does 40x+22-2 equal? please help ASAP
    13·1 answer
  • What is the solution
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!