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
sweet-ann [11.9K]
3 years ago
10

What is the measure of ABC?

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

Answer:

63

Step-by-step explanation:

Hi there!

In order to find the answer to this question we must know about:

The angles of intersecting chords theorem

The theorem states that if two chords intersect the angles formed at the intersection is equal to half the sum of its intercepted arc and it's vertical angle's intercepted arc.

Angle ABC is formed by intersecting chords meaning that the measure of angle ABC is equal to half the sum of its intercepted arc + it's vertical angle's intercepted arc ( angle ABC vertical angle is angle EBD. Angle EBD's intercepting arc is arc ED. )

Angle ABC intercepted arc is AC

Hence Angle ABC = 1/2 ( arc AC + arc ED)

Arc ED = 44 and arc AC = 82

Thus, angle ABC = 1/2(82 + 44)

82 + 44 = 126

126/2=63

Hence Angle ABC = 63

You might be interested in
Help me peeeeeeelzzzzzzz
andrezito [222]

Answer:

i'm pretty sure it's B

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What do you multiply by 80 to get 55
Ray Of Light [21]

Answer:

\frac{11}{16}

Step-by-step explanation:

11/16 * 80 = 55

5 0
3 years ago
Find the product.<br> (4x - 3y) (2x + y)
antoniya [11.8K]

Answer:

8x^2 - 2xy + 3y^2

Step-by-step explanation:

Use the FOIL method

8x^2 + 4xy - 6xy + 3y^2

8x^2 - 2xy + 3y^2

7 0
3 years ago
Help it’s slope idk how to do it
Over [174]

a. \boxed{y-602=\frac{2}{3}(x-3)}

b. For every month the pine tree grows about 0.67 inches.

c. <em> </em>It represents the height of the tree at the moment Ariel started to record the heights.

<h2>Explanation:</h2>

<h3>PART A.</h3>

In this exercise we have that in July Ariel recorded the height of a pine tree and how quickly it was expected to grow in next several months. From the Table, we can get the following points:

P_{1}(3,602) \\ \\ P_{2}(6,604) \\ \\ P_{3}(q,606) \\ \\ P_{4}(12,608)

It is obvious that this problem follows a linear equation, so our goal is to find the equation that matches the Table.

The point slope form of the equation of a line is:

y-y_{1}=m(x-x_{1}) \\ \\ Where: \\ \\ m:Slope \\ \\ (x_{1}, y_{1}):A \ point \ on \ the \ line

Finding (m):

Using: \\ \\ P_{1}(x_{1},y_{1}) \rightarrow P_{1}(3,602) \\ \\  P_{2}(x_{2}, y_{2}) \rightarrow P_{2}(6,604) \\ \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{604-602}{6-3} \\ \\ m=\frac{2}{3}

Finally, the equation of the line is:

(x_{1}, y_{1}) \rightarrow (3,602) \\ \\ \boxed{y-602=\frac{2}{3}(x-3)}

<h3>PART B.</h3>

In this case, we have that:

  • The x-axis represents the <em>Number of Months </em>the pine tree was expected to grow.
  • The y-axis represents the <em>Height  of the Tree </em>in inches.

Since the slope o a line is:

Slope=\frac{Change \ in \ y}{Change \ in \ x}=\frac{2}{3}

Then, this means that<em> every three months the pine tree grows two inches, </em><em>or </em><em>for every month the pine tree grows about 0.67 inches.</em>

<h3>PART C.</h3>

The y-intercept can be found setting x=0. So, from our equation:

y-602=\frac{2}{3}(x-3)} \\ \\ \\ If \ x=0: \\ \\ y-602=\frac{2}{3}(0-3) \\ \\ y-602=-2 \\ \\ Solving \ for \ y: \\ \\ y=602-2 \\ \\ y=600

So the y-intercept is y=600 and<em> represents the height of the tree at the moment Ariel started to record the heights.</em>

<h2>Learn more:</h2>

Slope Intercept form: brainly.com/question/4192440

#LearnWithBrainly

4 0
3 years ago
Isaac made 2 quarts and 1 cup of cupcake batter. If 6 ounces of batter make one cupcake, and Isaac is making 10 cupcakes, how mu
OverLord2011 [107]
There will be 12 ounces left
4 0
3 years ago
Other questions:
  • 2x+3y=12 x-y=6 solve the following system equations
    5·1 answer
  • Mary made 5 different sandwiches: turkey, roast beef, ham, bologna, and salami Mary wrapped the sandwiches and placed them into
    12·1 answer
  • Please Help!!! Braniest!!!!
    5·1 answer
  • Find the GCF of 18a, 20ab,<br> and bab.
    13·1 answer
  • In a circle, I 90° sector has an area of 36 pi inches squared what is the radius of the circle
    13·2 answers
  • Through any two points, there is exactly one line.<br> True or False?
    11·2 answers
  • A duck swam 10.5 kilometers in 3 hours. how many kilometers per hour did the duck swim
    6·1 answer
  • 1. Dominic earned $23.00 at the local
    8·1 answer
  • M = 19 - 3 please ANSWErrrr
    15·2 answers
  • Helppppppppppppppppppppppppppppppppppppp
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!