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
1. A bag contains red apples and yellow apples. The ratio of red apples to yellow apples in the bag is 9 to 4. How many apples a
andre [41]

Answer:

?

Step-by-step explanation:

You can’t know that, because you don’t know how many total apples there are.

6 0
2 years ago
Asia have cooked 7 kg of mashed potatoes for A dinner party it’s a gues A dinner party if the guest only ate 3/4 of them out he
andre [41]

Answer:

5.25

Step-by-step explanation:


7 0
3 years ago
Sharifa's white ball rolled 143 centimeters in 4 seconds and her green ball rolled 112 centimeters in 3 seconds. Which ball roll
Natalka [10]

Answer: B

Step-by-step explanation:

The green ball

Speed=Distance/Time

White ball 143/4=35.75

While green ball 112/3=37.33

37.33>35.75

6 0
3 years ago
PLEASE ANSWER! I DONT UNDERSTAND
vfiekz [6]

Step-by-step explanation:

I think the answer is:

A. y=-3+2x

D. y=5x-4

Hope it helps

6 0
3 years ago
Determined to find the slope<br>(1,7K) and (-3,5k)​
Nadusha1986 [10]

9514 1404 393

Answer:

  slope = k/2

Step-by-step explanation:

The slope formula is useful for finding slope.

  m = (y2 -y1)/(x2 -x1)

  m = (5k -7k)/(-3 -1)

  m = -2k/-4

  m = k/2

The slope is k/2.

4 0
3 years ago
Other questions:
  • What is the value of x?
    8·1 answer
  • Three times antonios age plus 2 times sarahs equals 14. sarahs age is also twice antonios age. how old is sarah
    14·1 answer
  • a 14 gram sample of substance used to preserve fruit and vegetables has a k- value of 0.1095 find substance half-life in days ro
    15·1 answer
  • What is one inch more than 7 3/4
    7·1 answer
  • Find the surface area to the nearest 10th of a cylinder with a radius of 3 cm and a height of 7 cm use 3.14 for PI
    15·1 answer
  • Please help with question 7 and 8 also 9
    14·1 answer
  • More than 200 universities in the United States and many more worldwide have sport management programs. Approximately how many a
    7·1 answer
  • Help pls ill give Brainlyest to the one who does it step by step.
    6·1 answer
  • What’s .9466 to the nearest hundredth I asked this before and someone gave me answer but it seems different then what I’ve learn
    15·2 answers
  • What is the center and radius of the circle?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!