Decide whether there is enough information to prove that a∥b. If so, state the theorem you would use.
Answers
Answer: C) Yes, Alternate Exterior Angles Converse
The two red angles are on the outside of the lines a and b, so they are considered exterior. They alternate on either side of the transversal line. So we consider those red angles to be alternate exterior angles. We'll use the alternate exterior angles converse to prove the lines parallel. That converse states: "If alternate exterior angles are congruent, then the lines are parallel".
Related Questions
Twelve hours after a convict escapes from prison, a guard begins to pursue him. If the convict travels at eight mph on foot and the guard travels at 56 mph by car, how far from the prison will the convict be caught by the guard?
Answers
In a cookie jar containing 6 chocolate chip cookies, 8 wafer cookies and 10 double chocolate cookies, what is the probability that a person who isn't looking when they get a cookie will get a chocolate chip cookie?
Answers
Answer:
25% chance
Step-by-step explanation:
The amount of water (in liters) in tank 1 after t minutes is 30t + 25. The amount of water (in liters) in tank 2 after t minutes is −20t + 1000. Find the time when the amount of water will be equal.
Answers
Answer:
The water amount will be equal at 19.5 minutes
Step-by-step explanation:
Here, we want to find the value of t when the water level in both tanks will be equal
We simply proceed to equate both ;
That will be;
30t + 25 = -20t + 1000
30t + 20t = 1000-25
50t = 975
t = 975/50
t = 19.5 minutes
Select the correct answer. For what value of x is sin x = cos 19º, where 0°< x < 90°? OA. 38° ° O B. 71° OC. 26° O D. 19°
Answers
Answer:
x = 71°
Option B is correct answer.
Step-by-step explanation:
We need to find for what value of x is [tex]sin\: x = cos 19^{\circ}[/tex], where 0°< x < 90°?
Solving:
[tex]sin\: x = cos\: 19^{\circ}\\Finding \:cos\: 19^{\circ}=0.94551\\Putting\:value:\\sin\:x=0.94551\\Now\:taking\:sin\:inverse\\x=sin^{-1}(0.94551)\\x=71^{\circ}[/tex]
So, we get x = 71°
Option B is correct answer.
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Answers
:):):):):):):):):):):):):):):):):):)
mark my qustions brainly pleaseeeeeeeeeeeeeeeeeeeee
Answers
Answer:
what do you mean
Step-by-step explanation:
4(1-2b)+7b-10
helpp please and please don't say use a calculator i need the answer cause i really need to pass
Answers
Answer:
if you're simplifying, it should be = -1b - 6
Step-by-step explanation:
1. 4(1-2b) + 7b -10 solve the parenthesis
2. 4 - 8b + 7b - 10 combine like(same) terms
3. 4 - 1b - 10 same as 2.
4. -1b - 6
Does the order of operations apply to algebraic expressions?
Answers
Answer:
yes it does for algebraic expressions
What are the y values for the equation : y=0X-4 if x=-3
Answers
Note: Your equation expression seems a little unclear. So, I am assuming that your expression is
y = x - 4
The solution steps would anyway still clear your concept so that no matter what you can solve whatever the expression it is because the procedure remains the same.
Answer:
The value of y = -7 if x = -3
Step-by-step explanation:
Assuming the given the expression
[tex]y = x - 4[/tex]
Given that we have to find the value of y if x = -3.
so substituting x = -3 in the equation
[tex]y = x - 4[/tex]
[tex]y = (-3) - 4[/tex]
[tex]y = -3-4[/tex]
[tex]y = -7[/tex]
Therefore, the value of y = -7 if x = -3
The graph of the equation y = x- 4 is also attached below.
Hey guys please help!!
Answers
Answer:
SAS
Step-by-step explanation:
the lines in the middle of a segment mean that they are equal in length.
So OE = EB and AE = EC.
Now, since angle AEB and angle DEC are vertical angles, they are equal.
Therefore the triangles are equal by SAS
help help help please ! :(
Answers
Answer: 5 units
Step-by-step explanation:
please help me please will give brainliest to anyone who is good
Answers
Answer:
D
Step-by-step explanation:
Number of days in school = 180-7 days missed = 173
Percent = Part/Whole x 100%
Percent = 173/180 x 100%
Percent = 96%
Fill in the blanks with '<'or'>?.
(a) 0.4 m
0.6 m
(b) 0°C
-4°C
(c) -2 °C
-2.5 °C
Answers
Answer:
See below.
Step-by-step explanation:
(a) 0.4 m < 0.6m
(b) 0°C > -4°C
(c) -2°C > -2.5°C
Five full creates of walnuts weigh 195 pounds, whereas an empty crate weights 10 pounds. How much do walnuts alone weigh?
Answers
Answer:
90
Step-by-step explanation:
Explain or show - Describe how the graph of y=3x+1 is the same and different from the graph of y=3x+4. your reasoning YA a. How are they the same? b. How are they different? x c. Explain or show your reasoning: (Feel free to use graph paper if you'd like.)
Answers
Answer:
a.) they have the same slope
b.) they have different y-intersepts
c.) in the slope-intercept formula y = mx + b, m is the slope and b is the y-intercept. since the two equations have the same slope but different y-intercepts we can infer they are parallel.
Which statement explains how the lines x − y = 2 and y = x + 1 are related?
1. They are parallel.
2. They are perpendicular.
3. They are the same line.
4. They are not related.
Answers
Answer:
4, they are not related
Step-by-step explanation:
x - y = 2 and y = x + 1
x - y = 2
subtract x
-y = 2 - x
divide by the negative
y = -2 + x or y = x - 2
they are not related
Answer:
The Answer Is A) they are parallel
Step-by-step explanation: i took the test and it was right i hope i helped!
√−100 = ___+ ___i
what is this?? the lesson is called simplifying square roots of negative numbers.
Answers
Answer:
√−100 = 0 + 10i
Step-by-step explanation:
i is equal to the square root of -1
change sqrt(-100) to sqrt(-1) * sqrt(100)
i * 10
10i
Name the triangles that are similar, if any of them are.
Answers
Answer:
I think A and B as they both have 27- degree angles
Step-by-step explanation:
I MAY BE WRONG SORRY
Simplify the following by combining like terms:
1y - 8xy + 7x - 5y + 4xy + 9x
Answers
Answer:
-4y-4xy+16x
Step-by-step explanation:
Hope this helps!! If you need it step by step I'll comment it in the comments.
Write an equation for each representation of a quadratic function given below.
Answers
Let, us assume that quadratic equation is :
[tex]y = ax^2 + bx + c[/tex]
Now, putting x = 0 and y = -4 :
[tex]c = -4[/tex]
Also, putting x = 1 and y = -3 :
[tex]ax^2 + bx + c =y\\\\a + b - 4 = -3 \\\\a + b = 1[/tex] ....2)
Also, putting x = 2 and y = 0 :
[tex]ax^2 + bx + c =y\\\\4a + 2b + c = 0\\\\4a + 2b = 4\\\\2a - b = 2[/tex]....3)
Solving equation 2 and 3, we get :
a = 1 and b = 0
Therefore, the quadratic equation is given by [tex]y = x^2- 4[/tex] .
Use the Distributive Property to write each expression in factored form. DO NOT determine the answer.
11) 6x2+ 6x3
12) -6x 2 + (-6) x3
13) 5x - 8x
Answers
Answer:
11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x
12) -6x^2 + (-6) x^3 = -6.x.x + (-6).x.x.x
13) 5x - 8x = 5.x -8.x
Step-by-step explanation:
Let us solve the question one by one.
11) 6x^2+ 6x^3
In order to convert the polynomial in the factored form, we see which factors are common in all terms in the polynomial.
[tex]6x^2 = 6.x.x\\6x^3 =6.x.x.x[/tex]
The factored form is:
[tex]= 6.x.x+6.x.x.x[/tex]
12) -6x^2 + (-6) x^3
Similarly, as 11
[tex]-6x 2 =-6.x.x\\-6x^3=-6.x.x.x[/tex]
The factored form is:
[tex]=-6.x.x+ (-6).x.x.x[/tex]
13) 5x - 8x
We can clearly see that there is only one common factor in both terms which is x
[tex]5x = 5.x\\8x = 8.x[/tex]
The factored form is:
[tex]=5.x-8.x[/tex]
Hence,
11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x
12) -6x^2 + (-6) x^3 = -6.x.x + (-6).x.x.x
13) 5x - 8x = 5.x -8.x
John's bank account had $1,320 at the end of November. In December, he bought $645 worth of
groceries and spent $225 on his mom's birthday present. Luckily, he earned $350 mowing lawns and $50
for good grades. How much money does John have at the end of December?
Answers
Answer:
850 but im not sure lol
Step-by-step explanation:
645 + 225 = 870
1,320 - 870 = 450
450 + 350 = 800
800 + 50 = 850
Mary uses 212 cups of lemonade concentrate to make 20 servings of lemonade. How many servings can Mary make using 1 gallon of lemonade concentrate? Please include an explanation :)
Answers
Answer:
number of servings = 1.5
Step-by-step explanation:
1 gallon = 16 Cups
cups of lemonade concentrate : lemonade servings
212 cups : 20 servings
How many servings can Mary make using 1 gallon of lemonade concentrate
Let
x = number of servings
cups of lemonade concentrate : lemonade servings
16 cups : x servings
Equate both ratios to get x
212 : 20 = 16 : x
212 / 20 = 16 / x
Cross product
212 * x = 20 * 16
212x = 320
x = 320 / 212
= 1.5094339622641
Approximately 1.5 servings
number of servings = 1.5
Which of the following are polynomials
Answers
Answer:
I would think that 2x+3y+4 would be the answer.
Step-by-step explanation:
Can anyone help me understand?? I genuinely don’t understand. Thank you!
Answers
9514 1404 393
Answer:
y = (1/4)x^2 -x -4
Step-by-step explanation:
When you are given a focus and a vertex, the equation of a parabola can be written as ...
y = (1/(4p))(x -h)² +k . . . . . . vertex (h, k); focus-vertex distance p
Here, the vertex is (h, k) = (2, -5) and the focus-vertex distance is 1. That means the equation of the parabola in vertex form* is ...
y = (1/4)(x -2)² -5
Expanding this equation, we get ...
y = (1/4)(x² -4x +4) -5 = (1/4)x² -x +1 -5
Then the standard form equation is ...
y = (1/4)x² -x -4
_____
* In the UK, and perhaps other places, the vertex form is referred to as "standard form." You need to be aware of the form that is being requested here. I have answered using the US version of "standard form." YMMV
Find the length of the midsegment of an equilateral triangle with side lengths of 12.5 cm. and please explain how you got it :)
Answers
Answer:
12.5 cm
Step-by-step explanation:
An equalateral triangle is one with all the sides the same length.
3y-z ; use y=6 and z=6
Answers
Answer:
12
Step-by-step explanation:
y = 6; z = 6
3y - z = 3(6) - 6 = 18 - 6 = 12
Answer:
12
Step-by-step explanation:
3y-z is asking 3 x 6 - 6, which equals 12
(3 x 6 = 18 and 18 - 6 = 12)
what is one and one so easy if you answer it correctly I will mark you brainiest
Answers
Answer: 3 Answers, It could be 11, It also can be the number 2, or it can be a foul shot in sports. Was I right? Or is the answer "one and one"
Step-by-step explanation:
help will give brainliest
Answers
Answer:
A the first one
Solve for z.
Z/4 - 11= -9
Z=
Answers
Answer:
8
Step-by-step explanation:
z/4 - 11 = -9
z/4 = 2
z = 8