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
horsena [70]
3 years ago
12

Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?

Mathematics
1 answer:
Mashcka [7]3 years ago
5 0

9514 1404 393

Answer:

  x = 20, or 125

Step-by-step explanation:

We cannot tell the angle x is intended to refer to. So, here are two answers. Choose the one you think applies.

__

The triangle that includes both marked angles is a right triangle. (The tangent meets the circle at right angles to the radius.) So, the angle x° at the external point is the complement of the marked central angle.

  x° = 90° -70°

  x = 20

__

If x° is referring to the exterior angle associated with the isosceles triangle within the circle, then its measure is the supplement of the interior base angle of that triangle. It is ...

  x° = 180° -(180° -70°)/2 = 90° +70°/2

  x = 125

You might be interested in
A ballroom has a square dance floor. The area of the floor is 400 square feet. If the length of each side of the square increase
Vikentia [17]
Yes, in the sense that the new area could be written as (x+1)^2  /   1.
Usually we would not bother with the "1" as divisor.

Let's actually do the work:  what is the area of the square if we increase the side length of the existing square by 1 ft?

(x+1)^2 = x^2 + 2x + 1        (This is not a fraction, and thus not the ratio of
                                            two integers, which, in turn, is the definition of
                                            "rational number."
7 0
3 years ago
Read 2 more answers
26 was divided by a power of ten to get 0.26. What power of ten was it divided by?
Inga [223]

100

I got the answer by 26 divided by 0.26

3 0
3 years ago
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2,
Sphinxa [80]
Ur perpendicular line will have -1 as the slope

y - y1 = m(x - x1)
slope(m) = -1
(2,5)...x1 = 2 and y1 = 5
now sub
y - 5 = -1(x - 2) can be written like : y - 5 = -(x - 2)
7 0
3 years ago
Read 2 more answers
Solve for x, rounding to the nearest hundredth.
Andreas93 [3]
Answer: x=1.32
Hope this helps!
6 0
2 years ago
Write the slip-intercept form of the equation of the line described
kompoz [17]

Answer:

1) y=⅚x -2⅓

2) y=8/3x -5

Step-by-step explanation:

<u>Point-slope form:</u>

y=mx+c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient.

Gradient of given line= \frac{5}{6}

Thus, m=⅚

Susbt. m=⅚ into the equation,

y= ⅚x +c

Since the line passes through the point (4, 1), (4, 1) must satisfy the equation. Thus, substitute (4, 1) into the equation to find c.

When x=4, y=1,

1= ⅚(4) +c

1 =  \frac{20}{6}  + c \\ c = 1 -  \frac{20}{6}  \\ c = 1 - 3 \frac{1}{3}  \\ c =  - 2 \frac{1}{3}

Thus the equation of the line is y =  \frac{5}{6} x - 2 \frac{1}{3}.

The gradients of perpendicular lines= -1.

Gradient of given line= -⅜

-⅜(gradient of line)= -1

gradient of line

= -1 ÷ (-⅜)

= -1 ×(-8/3)

= \frac{8}{3}

y =  \frac{8}{3} x + c

When x=3, y=3,

3 =  \frac{8}{3} (3) + c \\ 3 = 8 + c \\ c = 3 - 8 \\ c =  - 5

Thus the equation of the line is y =  \frac{8}{3} x - 5.

4 0
3 years ago
Other questions:
  • Fill in the blanks to make each of the following a true statement. Also name the property exhibited by each statement.
    8·1 answer
  • The perimeter of rectangle ABCD is 42 cm and the area is 80 cm2. Which equation can be used to find the dimensions of the rectan
    10·1 answer
  • Find the arc length of the partial circle.
    5·1 answer
  • What is the vertex of the absolute value function defined by ƒ(x) = |x - 7| + 1?
    12·2 answers
  • What is the absolute value off -37
    12·2 answers
  • Kohls sells casual shirts for 9$ and polo shirts for 18$. Total sales were 1,080 and customers bought 4 times as many casual shi
    6·1 answer
  • Mark placed a pool in his backyard, which is enclosed by a triangular fence. The radius of the pool is 20.5 feet How much of the
    13·1 answer
  • Here this to help the 7th graders<br><br> A complete overveiw
    11·2 answers
  • What is 3 tenths plus 8 tenths?
    5·2 answers
  • A nature center has a fish tank in the shape of a rectangular prism the tank is 10 feet long and 8 1/4 feet wide and 6 feet tall
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!