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
il63 [147K]
3 years ago
10

How do I do this question? Please Help!

Mathematics
2 answers:
Triss [41]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

∠ ABY and ∠ CBY are adjacent angles on a straight line and sum to 180° , so

x + 25 + 2x + 50 = 180

3x + 75 = 180 ( subtract 75 from both sides )

3x = 105 ( divide both sides by 3 )

x = 35

Then

∠ CBY = 2x + 50 = 2(35) + 50 = 70 + 50 = 120°

∠ FEB = 5x - 55 = 5(35) - 55 = 175 - 55 = 120°

Then ∠ CBY = ∠ FEB

This means they are corresponding angles and so AC is parallel to DF

AURORKA [14]3 years ago
5 0

Answer:

2x+50 and 5x-55 both are congruent or have same measure.

Step-by-step explanation:

Since we want to prove that both lines are parallel, this means no theorems that involve with parallel lines apply here.

First of, we know that AC is a straight line and has a measure as 180° via straight angle.

x+25 and 2x+50 are supplementary which means they both add up to 180°.

Sum of two measures form a straight line which has 180°.

Therefore:-

x+25+2x+50=180

Combine like terms:-

3x+75=180

Subtract 75 both sides:-

3x+75-75=180-75

3x=105

Divide both sides by 3.

x=35°

Thus, x = 35°

Then we substitute x = 35 in every angles/measures.

x+25 = 35°+25° = 60°

2x+50 = 2(35°)+50° = 70°+50° = 120°

5x-55 = 5(35°)-55 = 175°-55° = 120°

Since 2x+50 and 5x-55 have same measure or are congruent, this proves that both lines are parallel.

You might be interested in
Explain how to use the combine place values strategy to find 223 - 119.
tiny-mole [99]
<span>Explain how to use the combine place values strategy to find 223 - 119.</span>
7 0
3 years ago
A box is in the shape of a rectangular prism. Andrea is trying to ship boxes of her homemade chocolate chip cookies. The box she
Bas_tet [7]
The box she ship in has the volume of 1440 cubic inch. The cookie box is 60 cubic inch, so if you divided 1440 into 60, you would get 24. So. she can fit 24 cookie boxes into the box to be shipped.
3 0
2 years ago
Read 2 more answers
Expand the following using the Binomial Theorem and Pascal’s triangle. (x + 2)6 (x − 4)4 (2x + 3)5 (2x − 3y)4 In the expansion o
ivolga24 [154]
\bf (2x+3)^5\implies &#10;\begin{array}{llll}&#10;term&coefficient&value\\&#10;-----&-----&-----\\&#10;1&&(2x)^5(+3)^0\\&#10;2&+5&(2x)^4(+3)^1\\&#10;3&+10&(2x)^3(+3)^2\\&#10;4&+10&(2x)^2(+3)^3\\&#10;5&+5&(2x)^1(+3)^4\\&#10;6&+1&(2x)^0(+3)^5&#10;\end{array}

as you can see, the terms exponents, for the first term, starts at highest, 5 in this case, then every element it goes down by 1, till it gets to 0

for the second term, starts at 0, and every element it goes up by 1, till it gets to the highest

now, to get the coefficient, they way I get it, is "the product of the current coefficient and the exponent of the first term, divided by the exponent of the second term plus 1"

notice the first coefficient is always 1

so...how did we get 10 for the 3rd element?  well, 5*4/2
how did we get 10 for the fourth element?  well, 10*2/4


\bf (2x-3y)^4\implies &#10;\begin{array}{llll}&#10;term&coefficient&value\\&#10;-----&-----&-----\\&#10;1&&(2x)^4(-3y)^0\\&#10;2&+4&(2x)^3(-3y)^1\\&#10;3&+6&(2x)^2(-3y)^2\\&#10;4&+4&(2x)^1(-3y)^3\\&#10;5&+1&(2x)^0(-3y)^4&#10;\end{array}


\bf (3a+4b)^8\implies &#10;\begin{array}{llll}&#10;term&coefficient&value\\&#10;-----&-----&-----\\&#10;1&&(3a)^8(+4b)^0\\&#10;2&+8&(3a)^7(+4b)^1\\&#10;3&+28&(3a)^6(+4b)^2\\&#10;4&+56&(3a)^5(+4b)^3\\&#10;5&+70&(3a)^4(+4b)^4\\&#10;6&+56&(3a)^3(+4b)^5\\&#10;7&+28&(3a)^2(+4b)^6\\&#10;8&+8&(3a)^1(+4b)^7\\&#10;9&+1&(3a)^0(+4b)^8&#10;\end{array}

and from there, you can simplify the elements of the expansion by combining the coefficients

like for example, the 7th element of (3a+4b)⁸ will then be 1032192a²b⁶
7 0
3 years ago
Read 2 more answers
You are putting together a single elimination tournament. You have 4368 people sign up to compete. How many game will have to be
frosja888 [35]

Answer:

you will have to have 2,184 games to have a winner

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
ANS ASAP... will mark him/her as BRAINLIEST The 1rst one!!
prisoha [69]

7x - 14 = 4x + 19

7x - 4x = 14 + 19

3x = 33

x = 11

6 0
3 years ago
Other questions:
  • What number has 3 hundreds + 10 tens + 13 ones?<br><br> 413 <br> 313<br> 403
    12·1 answer
  • Enter the mixed number as an improper fraction.<br><br> 2 <br> 2<br> 5<br> =
    7·2 answers
  • Meg has a can that contains 80% orange juice and the rest water. The can has 1 liter of water. Part A: Write an equation using o
    15·1 answer
  • Find the equation of line parallel line to y=2x+7 and that goes through the point 4,12
    9·1 answer
  • Which of the following statements is always true of similar polygons?
    6·2 answers
  • Help I need help on 4 help me as soon as possible and show me the equation
    6·1 answer
  • Select ALL the correct answers. Select all the expressions that are equivalent to the polynomial below. 4(x − 4) − 2(3x2 + 3x −
    15·2 answers
  • Please help!! Find the radius r.
    8·1 answer
  • If p is true and q is false, the p q is<br> Always
    6·1 answer
  • 11. Work backwards to write a quadratic equation that will have solutions of x = 12 and x = 2.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!