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
Elena L [17]
3 years ago
14

This diagram is a straightedge and compass construction. A is the center of one circle,

Mathematics
1 answer:
zepelin [54]3 years ago
6 0

ABC is a equilateral triangle .

Proof :-

Let's assume both circles as C1 and C2 [ as shown in the figure ]

  • AB is the radius of circle C1
  • AB is the radius of Circle C2

AC is the radius of circle C1.

BC is the radius of circle C2 .

AB and AC both are radius of circle C1 so both are equal ie AB = AC .

AB and BC both are radius of circle C 2 so both are equal ie AB = BC .

Hence we conclude that .

AB = BC = AC.

So the triangle is equilateral triangle.

You might be interested in
hey guys.... please help me with this question ,chapter lines and angles and i will mark u the brainiest if u answer it 1st (6 m
nydimaria [60]

Answer:

Step-by-step explanation:

Alternate angles:When two lines are crossed by another line the pair of angles on opposite sides of the transversal is called alternate angles.  

Theorem 1:If a transversal intersects two Parallel Lines then each pair of alternate interior angles is equal.

Theorem 2 :If a transversal intersects two lines such that a pair alternate interior angle is equal then the two lines are parallel.  

SOLUTION:

Given:  ∠AGE=126°

∠AGE=∠GED=126∘ [alternate interior angles]

 (ii) ∠GED=∠GEF+∠FED=126∘

∠GEF + 90° =126°

(GIVEN that EF⊥CD)  

∠GEF=126°−90°=36°

∠GEF=36°

(iii) ∠CEG+∠GED=180°

(GIVEN ∠GED=126∘)

∠CEG+126° =180°

∠CEG=180° −126°

∠CEG=54°

∠FGE=∠CEG= 54°     (alternate angles)

3 0
4 years ago
I can’t figure out the answer to this, does anybody know?
Serggg [28]

Answer:

Option (2).

Step-by-step explanation:

Let f(x) and g(x) are the two functions with domain A and B.

Then (fg)(x) will be the function with domain A∩B

(fg)(x) = f(x)g(x)   Domain : A∩B

In this question two functions are,

c(x) = \frac{5}{(x-2)} and d(x) = (x + 3)

Domain : (x - 2) > 0 ⇒ x > 2

              and (x - 2) < 0 ⇒ x < 2

Or domain of (cd)(x) will be C = (-∞, 2)∪(2, ∞).

Similarly, d(x) = x + 3

Domain : All real numbers

             : D = (-∞, ∞)

(cd)(x) = c(x)d(x)

          = \frac{5}{(x-2)}\times (x+3)

Domain of (cd)(x) will be,

Domain : C∩D = (-∞, 2)∪(2, ∞) ∩ (-∞, ∞)

             : (-∞, 2) ∩ (2, ∞)

Therefore, domain of (cd)(x) will be all real values except 2.

Option (2) will be the answer.

5 0
4 years ago
What is the probability that a random sample of 17 pregnancies has a mean gestation period within 9 days of the mean?( length of
ozzi

Answer:

0.9864

Step-by-step explanation:

The average sample mean is 295, and the standard deviation is:

σ = 15 / √17

σ = 3.64

The z-scores are:

z = (x − μ) / σ

z₁ = (-9) / 3.64

z₁ = -2.47

z₂ = (9) / 3.64

z₂ = 2.47

So the probability is:

P(-2.47 < Z < 2.47) = P(Z < 2.47) − P(Z < -2.47)

P(-2.47 < Z < 2.47) = 0.9932 − 0.0068

P(-2.47 < Z < 2.47) = 0.9864

6 0
3 years ago
Find the area of a semi-circle with radius, r = 2cm.
hoa [83]

Answer:

The answer is 2pi

Step-by-step explanation:

To find the area of a cirlce, use the equation ( pi * r^2 ) so for a semi circle, which is half, simply divide that by 2. Plug in 2 for radius and you get 4pi/2 which simplifies to 2pi.

5 0
3 years ago
Slopes of parallel lines are
KatRina [158]

Answer:

the same as the original equation

Step-by-step explanation:

Since they don't intersect the slope is the same

6 0
4 years ago
Other questions:
  • You've just purchased 12 lb of celery. You take it back to your kitchen and proceed to trim and cut it into pieces, ending up wi
    12·1 answer
  • Who ever answers this first will be...brainliest answer
    10·1 answer
  • What is the relative frequency of students that studied independently for more than 2 hours to the total number of students that
    7·1 answer
  • The line plot shows the amount of grass seed that a landscaper needs for each of her jobs. What is the total amount of grass see
    6·1 answer
  • Ms. Gonzales sells houses. She gets 5% commission on all sales. How much commission would she earn on a house that sells for $20
    12·1 answer
  • Below are the heights (in inches) of students in a third-grade class. Find the median height. 39, 37, 48, 49, 40, 42, 48, 53, 47
    10·1 answer
  • The ratio of boys to girls in a class is 5:7 There are 36 students in the class. How many more girls than boys?
    12·1 answer
  • Write 5^3 as a product of the same factor.
    10·1 answer
  • jessie will pack a suitcase with books. The total weight of the suitcase and books can be no more than 50 pounds. The empty suit
    10·1 answer
  • The table above shows cell phone sales by color. What percent of the cell phones sold were blue?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!