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
Luda [366]
2 years ago
9

To win a local billiards tournament, all Jeanette has left to do is drop the 9-ball. Because of the other balls on the table (no

t shown), her only realistic shot on this turn is to bounce the ball off both sides of the table as shown. Use the information in the image to answer the questions below. Lines AB and CH are parallel, and the near side of the table is parallel to the far side.
a. What other angle measures can we be sure about? Explain your reasoning.
b. Identify the sets of congruent angles. Explain your conclusions.
c. Identify all the sets of alternate interior angles you can envision. Explain.
d. Identify all the sets of corresponding angles. Explain.

Mathematics
1 answer:
alukav5142 [94]2 years ago
7 0

Answer:

Here's what I get.

Step-by-step explanation:

Assume the diagram is like the one below.

Segments AB, BC, and CH are transversals to the sides of the pool table.

BC is also a transversal to AB and CH.

a. Angles we can be sure about

∠ABC — interior opposite angles of transversal BC

∠CBH — interior opposite angles of transversal BC

∠BHC — interior angles of triangle BHC

∠ABK — alternate exterior angles of transversal BC

∠CHG — complementary to ∠CGH

b. Sets of congruent angles

∠ABC ≅ ∠BCH = 66° — interior opposite angles of transversal BC

∠CBH ≅ ∠BCE = 57° — interior opposite angles of transversal BC

∠BHC ≅ ∠GCH = 57° — interior opposite angles of transversal CH

∠ABK ≅ ∠GCH = 57° — alternate exterior angles of transversal BC

One set of congruent angles is {∠ABC, ∠BCH}

Another set is {∠ABK, ∠BCE, ∠BHC, ∠CBH, ∠GCH}

c.  Alternate interior angles

Alternate interior angles are a pair of angles on the inner sides of the parallel lines but on opposite sides of the transversal.

The sets of alternate interior angles are {∠ABC, ∠BCH}, {∠ ABC, ∠BCD} {∠BCE,  ∠CBH}, {∠CHJ, ∠GCH}

d. Corresponding angles

Corresponding angles are a pair of angles on the same side of parallel lines and on the same side of the transversal.

The diagram has no corresponding angles.

You might be interested in
sally works 38 hours er week her weekly wage is £355.68 she recieves a pay increase of 23p per hour whats her new weekly wage
zhenek [66]

Answer:

  • £364.42

Step-by-step explanation:

  • Weekly wage =  £355.68
  • Work week = 38 hours

<u>Hourly pay is:</u>

  • £355.68/38 = £9.36

<u>New payment per hour:</u>

  • £9.36 + £0.23 = £9.59

<u>New weekly wage is:</u>

  • £9.59*38 = £364.42
4 0
3 years ago
What’s 3.8 - (-7.45)
Varvara68 [4.7K]

it is 11.25................................

6 0
3 years ago
Can someone help me please???​
Karolina [17]

Answer:

Altitude of Equilateral Triangle h = (1/2) * √3 * a. Angles of Equilateral Triangle: A = B = C = 60° Sides of Equilateral Triangle: a = b = c.

Hope this helped!

If you would like me to simplify it a little let me know.

8 0
3 years ago
What is the slope????
RUDIKE [14]

Answer:

1

Step-by-step explanation:

Rise/run

7 0
2 years ago
A package of 25 wristbands cost $5.25. At this rate, what is the cost of 1 wristband in dollars and cents?
azamat

Answer:

$0.21

Step-by-step explanation:

We can set up a proportion. Say x is the cost of 1 wristband:

\frac{5.25}{25} =\frac{x}{1}

Now, we cross multiply:

25x = 5.25

Solving for x, we see that x = 0.21.

Thus, the answer is $0.21.

6 0
2 years ago
Read 2 more answers
Other questions:
  • A ball is thrown from ground level straight up into the air at an intitial velocity of 54 feet per second. The height of the bal
    10·1 answer
  • A store has caps on display. Five of the caps are red. There are 4 more blue caps than green caps. There are 3 fewer yellow caps
    12·1 answer
  • The height of a triangle is 7 m less than its base. The area of the triangle is 30 m².
    12·2 answers
  • Five hundred and nine divided by three
    15·1 answer
  • HELPPPPPPPPPP PLZ I BEG YOU
    7·1 answer
  • X-97x = 90<br> Solve for this equation
    14·1 answer
  • Can you guys help me?
    8·2 answers
  • Solve the absolute value equation |2x|+5=17
    11·1 answer
  • PLS HELP
    10·1 answer
  • Heidi likes to mix her own horse feed. She creates a mix that is 10%
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!