Answers
B) <2≅<6
Step-by-step explanation:When a transversal crosses over 2 parallel lines there are certain statements that can be made, such as the fact that corresponding angles are congruent.
Defining a Corresponding Angle
Corresponding angles are angles that have the same relative position with different vertices. For example, if 2 angles are both in the bottom left of an intersection of 2 lines, they are corresponding. Since both angle 2 and 6 are in the top right, they are corresponding.
Proving the Lines are Parallel
Since corresponding angles are congruent when a transversal crosses parallel lines, any statement that proves corresponding angles are congruent would prove the lines are parallel. This means that <2≅<6 must prove that l║m.
Process of Elimination
Additionally, we can prove that B is correct by proving that the other answers are incorrect.
A) Angle 2 and 3 are vertical angles. This has nothing to do with parallel lines and cannot be used to prove that l║m.
C) Angle 7 and 8 are a linear pair, and, once again, this has nothing to do with whether or not l and m are parallel.
D) If l and m were parallel, then angles 3 and 5 would sum to 180 degrees. this is because if l║m, then <3 and <5 would be same side interior angles. Same side interior angles always sum to 180. So, this statement would actually disprove l║m.
Related Questions
Translate this into an algebraic equation.
Milo is 400,000$ in debt. He gets a job that pays 1,906.67 a month. How much money will Milo have in 12 months?
Answers
Answer:
$22,880.04 Without paying off the debt
$18,880.04 After paying off the debt
Step-by-step explanation:
What is the value of x in the equation −6 + x = −3? (5 points) Group of answer choices −9 −3 9 3
Answers
Answer:
The value of x is 3
Step-by-step explanation:
=> −6 + x = −3
=> x = -3+6
=> x = 3
So first you add the 6 to both sides
-6 + x = -3
+6 +6
The 6 will cancel
So your answer is
x= 3
Help!! The angle measurements in the diagram are represented by the following expressions.
∠
A
=
5
x
+
3
4
∘
∠A=5x+34
∘
start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 5, x, plus, 34, degrees, end color #11accd
∠
B
=
2
x
+
7
6
∘
∠B=2x+76
∘
Answers
Answer:
[tex]\boxed{\bf \angle A=84^o}[/tex]
Step-by-step explanation:
From the given diagram, we can see that ∠B & ∠C are corresponding angles, which means that they are equal. The two angles that form a straight line are supplementary angles (the sum of two supplementary angles is 180°).
[tex]\bf 5x+34^o+\angle C=180^o[/tex]
[tex]\bf 5x+34^o+\angle B=180^o[/tex]
[tex]\bf 5x+34^o+2x+76^o=180^o[/tex]
Now, let's solve for x :-
[tex]\bf (5x+34^o)+(2x+76^o)=180^o[/tex]
[tex]\bf (5x+2x)+(34+76)=180^o[/tex]
[tex]\bf 7x+110=180^o[/tex]
[tex]\bf (7x+110)-110^o=180-110^o[/tex]
[tex]\bf 7x=70^o[/tex]
[tex]\bf \cfrac{7x}{7} =\cfrac{70}{7}[/tex]
[tex]\boxed{\bf x=10^o}[/tex]
Now, in order to find ∠A will substitute the value of x into the expression:-[tex]\bf \angle A=5x+34^o[/tex]
[tex]\bf \angle A=5(10)+34^o[/tex]
[tex]\bf \angle A=84^o[/tex]
______________________
A grain of sand has a diameter that is 2 mm long. Under a magnifying glass, it looks 20 mm long. What magnification was used?
Answers
Answer:
Times 10 magnify
Step-by-step explanation:
Of the hats in Tammy's Hat Shop, 3/8 are green and another 1/4 are blue. What fraction of the hats are either green or blue?
Answers
Answer:
5/8
Step-by-step explanation:
Since it’s either, that is essentially saying ‘or’Because of this we add the fractions togetherThis gives [tex]\frac{3}{8} +\frac{1}{4}[/tex]Find a common denominator1/4 = 2/83/8 + 2/8 = 5/8James and Kian both took an online IQ exam independently. The probability that James will pass the test is 0.8 and Kian is 0.7 respectively.Find the probabilities that neither one of them will pass the test.
Answers
Answer:
they both will fail because, it says that james has a 0.1 more chance of passing the test compared to Kian but it no where states the amount to pass the test nor that they both will pass
Select all the expressions that equal 4×106.
(2×108)(2×10-2)
40×105
40 6
400,000
1. 2×1093×102
Answers
Answer:
None of the expressions are equal to 4*106
Step-by-step explanation:
(2×108)(2×10-2) does not equal 4*106
40×105 does not equal 4*106
40 6 does not equal 4*106
400,000 does not equal 4*106
2×1093×102 does not equal 4*106
Solve the following:
Answers
Answer:
-4
Step-by-step explanation:
9^2+19/(10^2-5^3)
9^2+19/(10^2-5^3)=81+19/100-125
9^2+19/(10^2-5^3)=81+19/100-125=100/-25
9^2+19/(10^2-5^3)=81+19/100-125=100/-25= -4
Sixteen and eight hundred fifty-two thousandths written in standard form
Answers
Answer:
16.852
Step-by-step explanation:
Writing the worded terms
Sixteen = 16Eight hundred fifty two thousandths = 852 x 10⁻³ = 0.852Standard form
16 + 0.85216.852Elias tossed a ball into the air. The following table represents the ball's height with respect to time, where y represents the ball's height, in feet, and x represents number of seconds after the ball was tossed.
Answers
The table is an illustration of a quadratic function, and the range of Ella's table is 0 ≤ y ≤ 9
How to determine the range?From the complete question, we have the following highlights:
The minimum output value is 0, and the maximum output value is 9
This means that the range of the table is 0 to 9
Express properly as:
0 ≤ y ≤ 9
Hence, the range of Ella's table is 0 ≤ y ≤ 9
Read more about range at:
https://brainly.com/question/10197594
#SPJ1
The book fair is selling erasers for $0.17 each. If Brandon spent a total of $2.21 on erasers, how many erasers did he purchase?
Answers
Answer
The answer is 13
Step-by-step explanation:
I divided 2.21 by 0.17
Answer:
13 Erasers
Step-by-step explanation:
2.21 ⁒ 0.17 = 13
Hope this helps :)
The coordinates of the vertices of a polygon are (1, 2), (1, -1), (-6, -1) and (-6,2). What is the perimeter of the polygon
Answers
Check the picture below.
14. Solve the equation using the Zero Product Property
(2x-4) (2x-1)=0
A. 2, -1/2
B. 2,1/2
C.-2, 2
D. -2,1/2
16. A community group is planning the expansion of a square flower garden in a city park. If each side of the original garden is increased by 3 meters, the new total area of the garden will be 225 square meters. Find the length of each side of the original garden.
A. 15m
B. 3m
C. 12m
D. √12m
Answers
Answer:
14) D; 16) C.
Step-by-step explanation:
14) the given equation can be written (x-2)(x-1/2)=0;
D. -2; 1/2.
16. if the original length is 'x', then it is possible to make up the equation of area:
(x+3)²=225; ⇒ x=12;-18; x=12 [m], the C option.
26% of 42 is what number
Answers
Answer:
10.92
Step-by-step explanation:
26% is equivalent to 0.26 (% is in terms of 100, so if you divide the percent by 100, you gte the decimal form)
You just multiply the decimal form by the number and your result is the answer
0.26x42=10.92
A quadratic equation of the form 0=ax2 bx c has a discriminant value of -16. how many real number solutions does the equation have?
Answers
The quadratic equation will have no real solutions.
Given quadratic equation is: [tex]ax^{2} +bx+c=0[/tex]
What is the discriminant of a quadratic equation?The discriminant(D) of a quadratic equation is [tex]D=b^{2}-4ac[/tex]. It depicts the nature of the roots.
[tex]D > 0[/tex] the roots are real and distinct.
[tex]D=0[/tex] the roots are real and equal.
[tex]D < 0[/tex] the roots will be imaginary.
We have [tex]D=-16[/tex] which is negative.
So, the roots will be imaginary.
So, the given quadratic equation will have no real solutions.
Hence, the given quadratic equation has no real solutions.
To get more about quadratic equations visit:
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is −0.25 rational or irrational
Answers
-0.25 is rational.
Brainly patrol, don't you even dare.
It takes you 1/4 hours to walk 1/3 of a mile.
How long will it take you to walk 2 1/2? Miles?
PLS HELP ASAP
Answers
Answer:
15/8 Hours
Step-by-step explanation:
To start, I would find see how long it takes to walk a mile.
1/3 · 3 = 1
1/4 · 3 = 3/4
So we now know that walking one mile takes 45 minutes. Next, I multiplied 1 mile by 2.5 and repeated the same process with the time.
3/4 · 5/2 = 15/8
Therefore, it takes 15/8 hours to walk 2.5 miles.
What is the volume of this sphere?
Question 13 options:
36πcm3
12πcm3
864πcm3
288πcm3
Answers
288π cm³
================
volume of sphere: 4/3 * π * radius³
⇒ 4/3 * π * (6)³
⇒ 4/3 * 216 * π
⇒ 288π
What is the value of 0.23? Enter your answer in the box.
Answers
0.2 * 0.2 * 0.2 = 0.008
Your final answer should be 0.008
Help please! Put a step-by-step explanation.
No links.
Answers
Answer:
70 degrees
Step-by-step explanation:
Angles directly opposite are equal
what is porpotinal to 1/5
Answers
Answer:
To find fractions, multiply 5 by the numerator to find the denominator.
Step-by-step explanation:
Fractions:
1/5, 2/10, 3/15, etc.
Decimal:
0.2
Percentage:
20%
The more people living in an area, the more likely it is that public buses will be used. city a has a population of 51,242 and covers an area of 89.22 mi2. city b has a population of 50,178 and covers an area of 8.12 mi2. which statement about use of public buses in the cities is most likely true? the residents of city a are more likely to use public buses because their city has a greater population density. the residents of city b are more likely to use public buses because their city has a greater population density. the residents of both cities are equally likely to use public buses because both population densities are about the same. the residents of both cities are unlikely to use public buses because both population densities are too high.
Answers
The population density of city-B is greater, so, the public bus must be used for city-B.
What is the population density?Population density (in agriculture: standing stock and standing crop) is a measurement of population per unit area.
The total population of city A= 51,242
The total area of city A =89.22 mi^2
The population density of city A is given by;
[tex]\rm Population \ density=\dfrac{Total \ population }{Total \ Area}\\\\ Population \ density=\dfrac{51,242}{89.22}\\\\ Population\ density=574.3331[/tex]
The total population of city B = 50178
The total area of city B =8.12 mi^2
The population density of city B is given by;
[tex]\rm Population \ density=\dfrac{Total \ population }{Total \ Area}\\\\Population \ density=\dfrac{50178}{8.12}\\\\Population \ density=6179.55665[/tex]
Hence, the population density of city-B is greater, so, the public bus must be used for city-B.
To know more about population density click the link given below.
https://brainly.com/question/15225296
Answer:
b is the answer
Step-by-step explanation:
D
Question 6
11 pts
Use the previously created equation to solve for the verbal description (give your
answer to the nearest cent and include commas and decimal points). For example,
12,345,67
The value of a car purchased for $20,000 decreases at a rate of 12% per year. What
will be the value of the car after 3 years?
Question 7
79°F
Answers
Martin runs three fourths mile three days a week. How many miles does he run in four weeks? (2 points)
a
9 miles
b
nine and one third miles
c
6 miles
d
six and two thirds miles
Answers
Answer: 9miles
Step-by-step explanation: ¾miles three days a week = 9/4 miles a week
In 4 weeks he will run 9/4 × 4/1
laws of exponents:
other:
5⁰*2³
Answers
Answer:
8
Step-by-step explanation:
Hello!
Remember that any value to the power of 0, is always 1.
So we can simplify this expression using that knowledge.
Simplify:
[tex]5^0 * 2^3[/tex][tex]1 * 2^3[/tex][tex]2^3[/tex][tex]8[/tex]The correct solution is 8.
Practice A
In Exercises 1-3, find the value of x. Write your answer in simplest form.
Answers
Answer:
Where is the question??
Can you check the answers pls ?
Thank you
Answers
Answer:
yeah it's perfect u did a grade job
Grayson asked 50 people how many times they exercise per week. The curcle graph shows the responses and the percentages of people who gave each response hos many of the people surveyed exercise once a week or less
Answers
There were 8 people who surveyed exercise once a week or less out of the 50 people who were surveyed.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the circle graph, percentage of the people surveyed exercise once a week or less = 100% - (10% + 40% + 20% + 14%) = 16%
Number of the people surveyed exercise once a week or less = 15% of 50 = 0.16 * 50 = 8
There were 8 people who surveyed exercise once a week or less
Find out more on equation at: https://brainly.com/question/1214333
Use the matrix tool to solve the system of equations. Enter the answer as an
ordered pair.
4x-y=0
8x +4 =18
Answers
Answer:
(-1/2,2)
Step-by-step explanation:
2(4x+y=0)=8x+2y=0
8x+2y=0
-(8x-y=6)
3y=6
Divide both sides y=2
4x+2=0
4x=-2
divide both sides x=-1/2
what are rational. numbers?
Answers
Rational numbers are defined as "a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q." This quote can be broken down to make it easier to understand. In basic terms, a rational number is a real number that is an integer, fraction, terminating decimal, or repeating decimal.
Integer
An integer is any positive or negative whole number including 0. Examples of integers include 4, -9, and 0.
Fraction
All fractions that do not have a 0 denominator (which makes the number undefined) are rational numbers. Additionally, complex fractions are not always considered rational numbers. Complex fractions are fractions where either the numerator or denominator is a decimal or fraction itself. Examples of rational fractions include [tex]\frac{4}5}[/tex], [tex]\frac{7}{4}[/tex], and [tex]\frac{2}{2}[/tex].
Terminating Decimals
Terminating decimals are decimals that have a finite number of digits. This means that the decimal stops at some point. Examples of terminating decimals include 0.346, 0.47834, and 0.345832454525456
Repeating Decimals
Repeating decimals are any decimal that is not terminating but has some pattern that repeats for infinity. Examples of repeating decimals include [tex]0.\bar 9[/tex], [tex]0.\bar8\bar6[/tex], and [tex]0.\bar 5\bar7\bar8\bar4[/tex]. In this case, the bar notation represents numbers that repeat forever.