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
natulia [17]
4 years ago
12

Daniel is constructing a fence that consists of parallel sides line AB and line EF. Complete the proof to explain how he can sho

w that m∠GKB = 120° by filling in the missing justifications. Statement Justification line AB ∥ line EF m∠ELJ = 120° Given m∠ELJ + m∠ELK = 180° Linear Pair Postulate m∠BKL + m∠GKB = 180° Linear Pair Postulate m∠ELJ + m∠ELK = m∠BKL + m∠GKB Transitive Property ∠ELK ≅ ∠BKL 1. m∠ELK = m∠BKL 2. m∠ELJ + m∠ELK = m∠ELK + m∠GKB Substitution Property m∠ELJ = m∠GKB Subtraction Property m∠GKB = m∠ELJ Symmetric Property m∠GKB = 120° Substitution 1. Alternate Interior Angles Theorem; 2. Definition of Congruence 1. Alternate Exterior Angles Theorem; 2. Substitution Property 1. Definition of Congruence; 2. Alternate Interior Angles Theorem 1. Substitution Property; 2. Alternate Exterior Angles Theorem
Mathematics
1 answer:
Anit [1.1K]4 years ago
3 0

Answer:

its 1

Step-by-step explanation:

got it right o the test

You might be interested in
A line that passes through the points (–4, 10) and (–1, 5) can be represented by the equation y = y equals negative StartFractio
Natali5045456 [20]

Answer:

y=-\frac{5}{3} x+\frac{10}{3}  or what is the same: 5x+3y=10

Step-by-step explanation:

First we find the slope of the line that goes through the points (-4,10) and (-1,5) using the slope formula: slope=\frac{10-5}{-4-(-1)} =\frac{5}{-3} =-\frac{5}{3}

Now we use this slope in the general form of the slope- y_intercept of a line:

y=-\frac{5}{3} x+b

We can determine the parameter "b" by requesting the condition that the line has to go through the given points, and we can use one of them to solve for "b" (for example requesting that the point (-1,5) is on the line:

y=-\frac{5}{3} x+b\\5=-\frac{5}{3} (-1)+b\\5=\frac{5}{3}+b\\5-\frac{5}{3}=b\\b=\frac{10}{3}

Therefore, the equation of the line in slope y_intercept form is:

y=-\frac{5}{3} x+\frac{10}{3}

Notice that this equation can also be written in an equivalent form by multiplying both sides of the equal sign by "3", which allows us to write it without denominators:

y=-\frac{5}{3} x+\frac{10}{3}\\3*y=(-\frac{5}{3} x+\frac{10}{3})*3\\3y=-5x+10\\5x+3y=10

3 0
4 years ago
Read 2 more answers
an animal sanctuary currently has 125 elk in it. the elk are expected to increase by 20% each yea. How many elk will there be in
Elena L [17]
I think it is 200.

I multiplied 125 with .2 and I got 25.
I added 25 three times to get 200.
4 0
3 years ago
Part A: Explain why x = 5 makes 4x - 1 3 19 true but not 4x - 1 19
Olenka [21]

Answer:

<em>Part A</em>: Explain why x = 5 makes 4x - 1 ≤ 19 true but not 4x - 1 < 19

<em>Part B: x=9</em>

Step-by-step explanation:

<u>Part A</u>: Because the first one is less than or equal to 19 and the other is just      less than.

x = 5

TRUE:   4x - 1 ≤ 19    =    20-1 ≤ 19    =    19 ≤ 19  

             19 is less than or equal to 19 so its true

FALSE:  4x - 1 < 19    =    19 < 19  

              19 is not greater than 19

<u>Part B:</u>  

5x + 2 = 47  subtract 2 from both sides

5x = 45  divide both sides by 5

x = 9

To check we can plug it back in

5x + 2 = 47

5(9) + 2 = 47

45 + 2 = 47

47 = 47

TRUE

5 0
3 years ago
En un jardin redondo cuya circunferencia mide 18m, cual es la medida del diametro?
Vinvika [58]
5.73 m
medida de la circumferenci: pi x diametro
18m=3.14.d
7 0
3 years ago
Read 2 more answers
Gina walked 0.8 miles before she started jogging at an average pace of 6 miles per hour. The equation d​ = 0.8​ + 6t can be used
Gala2k [10]

Answer:

  • independent: t
  • dependent: d

Step-by-step explanation:

The way the equation is written, d is the dependent variable; t is the independent variable (on which d depends).

7 0
4 years ago
Read 2 more answers
Other questions:
  • Describe a vectors v = [x y] that are orthogonal to u = [a b]. If u is not the zero vector, then v is a multiple of [a b]. If u
    11·1 answer
  • Determine how many lines of symmetry each object has. Then determine whether each object has rotational symmetry.
    8·2 answers
  • Fill in the blank. A+B=44 A:B is equivalent to 4:7
    15·1 answer
  • RS=3x-16, ST=4x-8, RT=60<br> Equation: __=60
    8·1 answer
  • 6.1+<br> 4.55+<br> 1.09 +<br> 15.9+<br> 3.771
    10·1 answer
  • Gabe​ Amodeo, a nuclear​ physicist, needs 60 liters of a 60​% acid solution. He currently has a 50% solution and a 70% solution.
    15·1 answer
  • Mikhail draws triangles ABC and FED, as shown below, and claims that the two triangles are similar but not congruent.
    13·1 answer
  • PLEASE HELP ME THIS IS MY LAST GEOMETRY EXAM FOR THE SEMESTER! ASAP
    7·1 answer
  • GENTE PORFAVOR ME AJUDA
    5·1 answer
  • The following are the ages of 13 history teachers in a school district. 24, 27, 29, 29, 35, 39, 43, 45, 46, 49, 51, 51, 56 Notic
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!