Complete the two-column proof.
A. Alternate Exterior angles theorem / Vertical angles
B. Alternate exterior angles theorem / corresponding angles theorem
C. Symmetric property / Transitive property
Answers
The correct explanations are;
A) Vertical angles.
B) Corresponding angles theorem
C) Transitive property.
What are Parallel lines?
Parallel lines are those lines that are equidistance from each other and never intersect each other.
Given that;
Two lines x and y are parallel.
w is transversal of x and y.
Now, To prove ∠4 ≅ ∠5 we use;
Since, Two lines x and y are parallel.
So, We can apply all the properties of angles of triangles.
Statements Reasons
1. x || y 1. Given
2. w is transversal 2. Given
3. ∠4 ≅ ∠1 3. Vertically opposite angles.
4. ∠1 ≅ ∠5 4. By Corresponding angles theorem.
5. ∠4 ≅ ∠5 5. By Transitive property.
Thus, The correct explanations are;
A) Vertical angles.
B) Corresponding angles theorem
C) Transitive property.
Learn more about the parallel lines visit:
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Related Questions
How do I solve this equation and check the solutions?
Answers
Answer:
The value of x is 10.
Step-by-step explanation:
The steps to do this :
[tex]x - \sqrt{2x + 5} = 5[/tex]
[tex]x - 5 = \sqrt{2x + 5} [/tex]
[tex] {(x - 5)}^{2} = {( \sqrt{2x + 5}) }^{2} [/tex]
[tex] {x}^{2} - 10x + 25 = 2x + 5[/tex]
[tex] {x}^{2} - 12x + 20 = 0[/tex]
[tex] {x}^{2} - 2x - 10x + 20 = 0[/tex]
[tex]x(x - 2) - 10(x - 2) = 0[/tex]
[tex](x - 2)(x - 10) = 0[/tex]
[tex]x = 2 \: (rejected)[/tex]
[tex]x = 10[/tex]
PLEASE HELPPPPP♥️♥️♥️♥️♥️♥️
Answers
C, B I’m pretty sure
Explanation
What is the first step in evaluating (12.9 – 3.1) × 6.2 – 2 + 43
Answers
Answer:
101.76
Step-by-step explanation:
Answer:
(12.9 - 3.1) i'm in middle school so if i can do it you can
Step-by-step explanation:
does anyone know how to do this
Answers
Does anybody know the answer to this question please I need help?!
Answers
Answer:
Juan earns 10 dollars a week at his job
Step-by-step explanation:
What is the slope of a line containing (4,6) and (0,8)?
Answers
Answer:
[tex]m=\frac{-1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (4, 6)
Point (0, 8)
Step 2: Find slope m
Substitute: [tex]m=\frac{8-6}{0-4}[/tex]Subtract: [tex]m=\frac{2}{-4}[/tex]Simplify: [tex]m=\frac{-1}{2}[/tex]Answer:
Slope is -1/2
Step-by-step explanation:
y2 - y1/x2 - x1
8 - 6/0 - 4
2/-4
-1/2
Here is a table of values for y = f(x).
Х
0 5 10 15 20 25 30 35 40
f(x) 5 6 7
8
9
10 11
12 13
Mark the statements that are true.
A. f(15) = 8
✓ B. The range for f(x) is all real numbers.
✓ C. f(5) = 6
I D. The domain for f(x) is the set {5, 6, 7, 8, 10, 11, 12, 13).
Answers
the complete question in the attached figure
statements
case A) f(15)=8-----> is correct
for x=15
f(x)=8
case B) the domain of f(x) is the set {5,6,7,8,10,11,12,13}--> is not correct
because the domain of f(x) is the set {0,5,10,15,20,25,30,35,40}
case C) f(5)=6-----> is correct
for x=5
f(x)=6
case D) the range for f(x) is all real numbers----> is not correct
because
the range of f(x) is the set {5,6,7,8,9,10,11,12,13}
the answer is
A and C
Write a linear equation to represent this
Answers
Hope you get it right!
:D
What is the solution set?
(2, 0)
(7, 0)
(0, -2)
(5, 3)
Answers
50 POINTS !!! Imogen bought i number of invitations to send out for her party. After she sent out 19, she was left with 11. What is the
value of ?
O 8
O 11
19
30
Answers
Answer:
Step-by-step explanation:
Just add 19 and 11 and you will get your answer!
HOPE THIS HELPS!
Answer:
da answer is 30
Step-by-step explanation:
893.76 divided by 0.21
Answers
Hope this helps and have a nice day/night!!!
Answer:
4.265
Step-by-step explanation:
893,76/ 0,21= 4.265
What is the difference between speed and velocity
Answers
Answer:
Speed is during an action and velocity is built up when your using speed in a direction
Step-by-step explanation:
An airline has two flights each day from City A to City B. A random sample of 10 morning flights left the gate an average of 15 minutes late with a standard deviation of 5 minutes. A random sample of 10 evening flights left the gate an average of 20 minutes late with a standard deviation of 3 minutes. Suppose both the morning and evening flights are 30 minutes late. To determine which flight is more late than usual, first find the z-scores. Round to one decimal place if necessary.
Answers
Answer:
Step-by-step explanation:
Let X denote the random variable that obeys the normal distribution.
Given that:
For morning flights
Mean [tex]\mu_1[/tex] = 15
standard deviation [tex]\sigma_1[/tex] = 5
Sample size [tex]n_1[/tex] = 10
[tex]X_1 \sim Normal ( \mu_1, \sigma _1)[/tex]
The Z - score is calculated as:
[tex]Z = \dfrac{x_1 - \mu_1}{\sigma_1}[/tex]
[tex]Z = \dfrac{30 -15}{5}[/tex]
[tex]Z = \dfrac{15}{5}[/tex]
Z = 3
For evening flights
Mean [tex]\mu_2[/tex] = 20
standard deviation [tex]\sigma_2[/tex] = 3
Sample size [tex]n_2[/tex] = 10
[tex]X_2 \sim Normal ( \mu_2, \sigma _2)[/tex]
[tex]Z = \dfrac{x_2 - \mu_2}{\sigma_2}[/tex]
[tex]Z = \dfrac{30 -20}{3}[/tex]
[tex]Z = \dfrac{10}{3}[/tex]
Z = 3.33
Hence, from the above z-scores, we will realize that the evening flight is more late than usual.
Write a polynomial function that has the given zeros.
1/2, 1 , 5
Answers
Answer:
1
Step-by-step explanation:
x²-1²...it can be written as (x+1),(x-1)...surely you will get -1 and 1 as your zero
It takes 3/4 of an hour to paint 3/5 of a room how long does it take to paint one room
Answers
Answer:
1 1/4 hours
Step-by-step explanation:
.75/.6=x/1
cross multiply
.75=.6x
divide by .6
x=1.25 hours
(I didn't write this awnser it was written by
Katieg3593 I just thought I would share the awnser).
...... help lots of points available (plz answer it)
Answers
Yesterday the temperature was 11°C. Today it is -11°C. In degrees Celsius, what is the change in
temperature?
Answers
What is the mDEF? plz help
Answers
Answer:
m∠DEF = 148°
Step-by-step explanation:
The total sum of angles inside a triangle is 180°
m∠FDE + m∠EFD + m∠DEF = 180°
We can also see that because two sides are congruent, their angles are also congruent, so we can solve for x
m∠FDE = m∠EFD
2x + 8 = 3x + 4; subtract 2x from both sides
8 = x + 4; subtract 4 from both sides
x = 4; now we can substitute into equations
m∠FDE = m∠EFD;
2(4) + 8 = 3(4) + 4
8 + 8 = 12 + 4; 16=16; therefore = m∠FDE = m∠EFD = 16
To solve for m∠DEF
m∠FDE + m∠EFD + m∠DEF = 180°
16 + 16 + m∠DEF = 180
m∠DEF = 148°
Determine the value of x in the figure.
A) x=70
B) x=140
C) x=40
D) x=35
Answers
Answer:
Yep it's C) 40°
Step-by-step explanation:
and rest one is 70°
The table above shows the number of hours that Robin worked each week for 5 weeks. What would be the number of hours Robin worked in days?
Answers
-38=-2(n+6)+6(3n+1) Can you please solve marking branlest show work
Answers
Answer:
n = -2
Step-by-step explanation:
-38 = -2n -12 +18n +6
-38 =16n -6
-38 +6 =16n
-32= 16n
n=-2
Find each number 60% of 45
Answers
Answer:
27
Step-by-step explanation:
[tex]60\%\ of\ 45\\=\frac{60}{100} *45\\=\frac{60}{20}*9\\=3*9\\=27[/tex]
Marco buys a certain brand of shampoo for $7.25 plus 7.5% tax. How much will Marco pay in total for the shampoo? (Round your answer to the nearest hundredth)
Answers
Answer:
$6.35
Step-by-step explanation:
Answer:
$7.79
Step-by-step explanation:
7.25 + 7.25(0.075)
7.25 + ~0.54
7.79
Which number replaces the question mark?
Answers
Answer:
13
Step-by-step explanation:
9+6-3+7-2=17
10+4-2+5-6=11
7+-4+9-5=13
The function g(x) is a transformation of f(x). If g(x) has a y-intercept of -2, which of the following functions could represent g(x)?
A. g(x) = f(x) - 5
B. g(x) = f(x - 5)
C. g(x) = f(x) - 2
D. g(x) = f(x + 2)
Answers
Answer:
A.
Step-by-step explanation:
It just is trust
A sculpting tool is in the shape of a solid triangular prism. The tool is made of 12 in.3 of metal and is 4 in. Long. What is the height of the base if it is 2 in. Wide?
Answers
Answer:
The height of the base if it is 2 in. Wide is 3 inches
Step-by-step explanation:
Volume of rectangular prism = [tex]\frac{1}{2} \times Length \times Base \times Height[/tex]
Volume of given rectangular prism = [tex]12 in^3[/tex]
Length of prism = 4 in
Base of prism = 2 in
Substitute the values in formula
So, [tex]12 = \frac{1}{2} \times 4 \times 2 \times Height[/tex]
[tex]\frac{12 \times 2}{4 \times 2}=Height[/tex]
3 = Height
Hence the height of the base if it is 2 in. Wide is 3 inches
Answer:
3 inches
Step-by-step explanation:
HELPPPPPPPPPPP
WHAT IS 67+8,900+12+14+15????
Answers
Answer:
9,008
Step-by-step explanation:
67 + 12 = 79
14 + 15 = 29
79 + 29 = 108
8,900 + 108 = 9,008
plz mark me brainliest
Answer:
9008
Step-by-step explanation:
67+8,900= 8967
8967+12= 8979
8979+14 = 8993
8993+15=9008
What is 569 divided by 67.8
Answers
Answer: 8.39233038348
Step-by-step explanation:
Answer:
8.39233038348
Step-by-step explanation:
569/67.8=8.39233038348
slope = 2; y-intercept = -1
HELP PLS what's the answer
Answers
Answer:
The question is incomplete but I assume you want to find the equation of a straight line with those details. Well the equation of a straight line is y=mx+c where m is the slope and c is the y-intercept
Therefore y=2x-1 is the equation of the line
Answer:
y=2x-1
Step-by-step explanation:
BRAINLIEST PLSSS
find the side length?
Answers
Answer:
4
Step-by-step explanation:
4y+1=5y-3
-1y=-4
y=4