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
nata0808 [166]
3 years ago
15

If AY parallel to CX, then find ∠ABCplease help!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
romanna [79]3 years ago
8 0

Answer:

60°

Step-by-step explanation:

Through point B draw a line m || AY || CX and take two points say E and F on left and right side of point B respectively.

Therefore,

m∠FBC + m∠XCB = 180°..(By interior angle property)

m∠FBC + 130° = 180°

m∠FBC = 180° - 130°

m∠FBC = 50°....(1)

Next,

m∠ABF = m∠BAY... (Alternate angles)

m∠ABC + m∠FBC = 110°

(since, m∠ABF = m∠ABC + m∠FBC)

m∠ABC + 50° = 110° (From equation 1)

m∠ABC = 110° - 50°

\huge \purple {\boxed {m\angle ABC = 60\degree}}

You might be interested in
What happens to the mode of the data set shown below if the number 8 is added to the data set?
Dmitrij [34]

Answer:

c

Step-by-step explanation:

right now 15 is the mode because there are 3 of them

if we made it so that there was another 8 there would also be 3 of them

this would mean that there are two modes

6 0
1 year ago
Heyy! i’ll give brainliest please help.
Murrr4er [49]

Answer:

thought i had it but answer is B......

 

6 0
3 years ago
An 18ft ladder leans against a house, reaching a point 14ft above the ground. How far is the foot of the ladder from the bottom
Arisa [49]

Answer: a^2+b^2=c^2

Step-by-step explanation: (18^2=14^2+c^2)=324=196+c^2

324-196=128 and the square root of 128 is 8 radical 2 or in decimal form 11.31

5 0
3 years ago
Read 2 more answers
There are 20 juice cups and each juice cup holds 10 fluid ounces. the juice comes in 1 gallon bottles. how many 1 gallon bottles
Andru [333]
20 times 10=200 fluid ounces

128 fluid ounces per gallon
1 gallon is too little
2 gallons is to much
but  you can't buy 1 and 72/100 of a bottle so just buy 2

2 bottles
6 0
2 years ago
If y is directly proportional to x square and y equal 1/8 when x = 1/2 what is the positive value of x when y it was 9/2?
mojhsa [17]

Answer:

d

Step-by-step explanation:

Given y is directly proportional to x² then the equation relating them is

y = kx² ← k is the constant of proportion

To find k use the condition y = \frac{1}{8} when x = \frac{1}{2}, then

\frac{1}{8} = k(\frac{1}{2} )² = \frac{1}{4} k ( multiply both sides by 8 )

1 = 2k ( divide both sides by 2 )

k = \frac{1}{2}

y = \frac{1}{2} x² ← equation of proportion

When y = \frac{9}{2} , then

\frac{9}{2} = \frac{1}{2} x² ( multiply both sides by 2 )

9 = x² ( take the square root of both sides )

x = ± \sqrt{9} = ± 3

with positive value x = 3 → d

8 0
3 years ago
Other questions:
  • The perimeter of a regular octoagon is 22 2/3 inches what is the length of each side
    8·1 answer
  • Evaluate the indicated function for f(x)=x^2-7 and g(x) =x-2
    8·1 answer
  • Which step is included in the construction of perpendicular lines using a point on the line
    10·1 answer
  • Simplify the radical.
    7·1 answer
  • If xy = 1, which is equivalent to x(x – 1)(y + 1)?
    7·1 answer
  • Does 1/6, -3, square root of 7 or 4.5 come first when
    9·2 answers
  • "A curtain manufacturer uses a 9090-yard roll of material to make 77 identical curtains. There was 7.757.75 yards of material le
    9·1 answer
  • Find the value of a & b​
    6·2 answers
  • a factory used 11.81 kilograms of tomatoes to make 4 batches of pasta sauce what quantity of tomatoes did the factory put in eac
    7·1 answer
  • Use the graph to evaluate the function for the given input value.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!