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
GalinKa [24]
3 years ago
15

Find X using the image.

Mathematics
1 answer:
Temka [501]3 years ago
7 0

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

The square of the tangent is equal to the product of the secant lengths to the near and far circle intersections.

  (x +4)² = (2x -1)(2x -1 +9)

  0 = (2x -1)(2x +8) -(x +4)² = (4x² +14x -8) -(x² +8x +16)

  0 = 3x² +6x -24 = 3(x² +2x -8) = 3(x +4)(x -2)

This has solutions x = -4 and x = 2. Only the latter works in this geometry.

  x = 2

You might be interested in
Square ABCD and isosceles triangle BUC are drawn to create trapezoid AUCD. Square A B C D and triangle B U C are attached at sid
Art [367]

Answer:

d) 135º

Step-by-step explanation:

Note that the angle DCU is the sum of the angles DCB and BCU. The angle DCB is 90º because A B C D is a square, then all its angles are equal to 90º.

After attaching B U C to A B C D, we obtain a trapezoid A U C D. Since A U C D has at least one pair of parallel sides, then AU should be parallel to CD, thus the angle CBU must be 90º.

B U C is isoceles, so we conclude that other two angles must have the same size, and due to the sum of the angles of a triangle being 180º, then both BUC and BCU are equal to 45º

As a result, the angle DCU is equal to 90º+45º = 135º. Option d is the correct one.

5 0
3 years ago
Read 2 more answers
Why are parabolsas used for
JulsSmile [24]

Answer:

Parabolas are frequently used in physics and engineering for things such as the design of automobile headlight reflectors and the paths of ballistic missiles. Parabolas are frequently encountered as graphs of quadratic functions.

8 0
3 years ago
Read 2 more answers
Helpp ill mark u as brainlist​
bulgar [2K]
C is the only one that makes sense to me try and let me know
5 0
2 years ago
100 is the regular price if you buy one and get the other half price. Explain how this different from getting a 50% discount?
Vinvika [58]
100 = x + x/2

3x/2 = 100

x = 200/3

if there was 50% discount:

buying 1 would be $33.33

buying 2 would be $66.67
4 0
3 years ago
(Fill in the blank)<br> Solve the following equation.
swat32

Answer:

there is no ecuashon

Step-by-step explanation:

h0cududfiififuduc

3 0
3 years ago
Read 2 more answers
Other questions:
  • I hate Geometry.... Help?
    7·1 answer
  • Of the total population of American households, including older Americans and perhaps some not so old, 17.3% receive retirement
    12·1 answer
  • Write the expression (4x-2)•(2x+7) in the standard form of a quadratic expression, ax squared +bx+c. What are the values of the
    7·1 answer
  • A blueprint scale is 1/4 in=1ft. If the blueprint measurement is 2in x 1in, what should you cut?
    13·1 answer
  • I need help with subtracting these
    7·2 answers
  • A line passes through the points ( - 9, - 24) and (8, – 9).
    6·1 answer
  • If you know him i love ill give out brainliest
    9·2 answers
  • The five-number summary for a data set is given by min = 5, Q1 = 18, median = 20, Q3 = 40, max = 75. If you wanted to construct
    8·1 answer
  • Surface area of 56,14, and 16
    14·1 answer
  • han earns $33,00 for babysitting 4 hours. at this rate, how much will he earn if he babysits for 7 hours?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!