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
3241004551 [841]
2 years ago
10

Help i really have no clue not sure where to start

Mathematics
2 answers:
Juli2301 [7.4K]2 years ago
6 0

Focus on the top line angles for now.

Those two angles combine to the straight angle ABC, which is 180 degrees.

(angleABY) + (angleYBC) = angle ABC

(x+25)+(2x+50) = 180

(x+2x) + (25+50) = 180

3x+75 = 180

3x = 180-75

3x = 105

x = 105/3

x = 35

We'll use this x value to find that:

  • angle YBC = 2x+50 = 2*35+50 = 70+50 = 120 degrees
  • angle BEF = 5x-55 = 5*35-55 = 175-55 = 120 degrees

Angles YBC and BEF are corresponding angles (they are both in the northeast corner of their respective four-corner angle configuration). They are both 120 degrees. Since we have congruent corresponding angles, we have effectively proven that AC is parallel to DF. Refer to the converse of the corresponding angles theorem.

The regular version of the "corresponding angles theorem" says that if two lines are parallel, then the corresponding angles are congruent. The converse reverses the logic of the conditional statement. Meaning that if the corresponding angles are congruent, then the lines are parallel.

kramer2 years ago
5 0

Answer:

∠BEF ≈ ∠YBC = 120°

Step-by-step explanation:

In stauight ine, AC

∠ABY + CBY = 180° (Linear pair)

(x + 25°) + (2x + 50°) = 180°

3x + 75° = 180°

Now, subtract 75° from both side we get,

3x + 75° - 75° = 180° - 75°

3x = 105

Divide both side by 3

3x/3 = 105/3

x = 35

Now,

∠BEF = 5x - 55°

           = 5(35) - 55°

           = 175° - 55°

∠BEF = 120°

∠ABY = x + 25°

           = 35° + 25°

∠ABY = 60°

∠YBC = 2x + 50°

            = 2(35°) + 50°

            = 70° + 50°

∠YBC = 120°

∠BEF ≈ ∠YBC = 120° (Corresponding pair)

Hence Proved!

 

<u>-TheUnknownScientist</u><u> 72</u>

You might be interested in
Write as an expression:<br> the total of n and 16
Mekhanik [1.2K]
Total is just add
n+16 is total of 16 and n
4 0
3 years ago
Help me with these questions
egoroff_w [7]
For number 6 it's 30 x 45
5 0
3 years ago
HELP ASAP ROCKY!!! will get branliest.​
Yuri [45]

Answer:

<h2><em><u>-4</u></em></h2>

Step-by-step explanation:

The equation is y = slope + or - y-intercept

Slope = mx

So the slope is -4

The slope can be found also by having 2 points and doing (y2 - y1)/(x2 - x1). Also, you can do rise over run. These are options for if you have a graph.

Hope this helped,

Kavitha

5 0
3 years ago
Read 2 more answers
Cheyenne works 15 hours a week at the movie theater.She earns $8 an hour.Her paycheck last week was $100. Which statement about
geniusboy [140]
Hsusushduduxyucyshhh b ?
8 0
3 years ago
Read 2 more answers
Complete the proof proving YUZ~VWZ
iVinArrow [24]

Answer:

1. ΔXYZ is a right Δ with altitude YU.

Given

2. ΔXYZ ~ ΔYUZ

Right Triangle Altitude Similarity Theorem

3. VW || XY

Given

4. ∠VWZ ≅ ∠XYZ

Corresponding angles

5. ∠Z ≅ ∠Z

Reflexive property of congruence

6. ΔXYZ ~ ΔVWZ

AA Similarity postulate

7. ΔYUZ ~ ΔVWZ

Transitive property of similar triangles

Step-by-step explanation:

The first statement is given in the problem.  Since we know the altitude of a right triangle, we can use the Right Triangle Altitude Similarity Theorem to say that the triangles formed by the altitude are similar to each other and the original triangle.

Next, we are given in the problem statement that the lines VW and XY are parallel.  Therefore, ∠VWZ and ∠XYZ are corresponding angles, which makes them congruent.  And since ∠Z is equal to itself (by reflexive property), we can use AA similarity to say ΔXYZ and ΔVWZ are similar.

Finally, combining statements 2 and 6, we can use transitive property to say that ΔYUZ and ΔVWZ are similar.

4 0
3 years ago
Other questions:
  • A slope of -4 and a y-intercept of 12. *
    15·1 answer
  • What is the answer to 8x - 6x = -18
    8·2 answers
  • A computer technician charges $75 for a consultation plus $35 per hour. The computer technician charges Bob $250. How many hours
    10·2 answers
  • Plz help. im not good with polynomials or factoring..
    5·1 answer
  • Rocco received 5 new shirts and 2 new pairs of jeans for his birthday how many different ways can he wear his shirts with jeans?
    7·1 answer
  • 4. What is the unit price if 5 pounds of fruit cost $8.40?
    14·1 answer
  • Angel bought 8 oranges and 11 apples for a total of $15.22.He knows that each orange cost $0.50 and reasoned that each Apple mus
    10·2 answers
  • I need help with this <br>7f + 2f - 3b + b<br><br>I can't figure it out ​
    10·1 answer
  • (2/3) to the 3rd power] plus [(3/4) to the zero power]
    11·1 answer
  • Jake noted that speed of light is approximately 1.1 x 10^9 km/h; the speed of sound is approximately 1.2 x 103 km/h; and 11 + 12
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!