Which can be used to prove that lines are parallel? 1.Vertical Angle Theorem 2.Alternate Interior Angles Theorem 3.Converse of Corresponding Angles Postulate 4.Converse of Same-Side Interior Angles Theorem
Answer:
4. Converse of Corresponding Angles Postulate
Step-by-step explanation:
There are several theorems to prove line relationships in plane geometry.
The proof of parallel lines is done by
(3) Converse of Corresponding Angles Postulate(4) Converse of Same-Side Interior Angles TheoremTo prove that lines are parallel, we make use of the concept of line transversal.
The vertical angle theorem is based on two lines intersecting at a point
The alternate interior angle theorem is used to determine the congruence of angles in a transversal of parallel lines
The converse of corresponding angles postulate, and the converse of same-side interior angles theorem are used to determine if lines are parallel based on the angles on the transversal.
Hence, the true options are (3) and (4)
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A police officer monitored the speed (mph) of the cars in a particular traffic area.
Prepare a frequency distribution for this data using 7 classes.
36, 21, 27, 24, 54, 28 ,36, 43,
22, 29, 37, 40, 26, 25, 38, 23,
44, 30, 26, 39, 37, 40, 38, 36,
41, 45, 52, 42, 43, 42, 48, 50, 53
Answer:
03/23/2020
OverdueLPercents and Fractions--Assigned
Spelling 600
DueTypeTitleScoreStatus
04/13/2020
OverdueTUnit Test--Assigned
Step-by-step explanation:
03/23/2020
OverdueLPercents and Fractions--Assigned
Spelling 600
DueTypeTitleScoreStatus
04/13/2020
OverdueTUnit Test--Assigned
Answer:
20-25: 5
26-30: 5
31-35: 0
36-40: 10
41-45: 7
46-50: 2
51-55: 4
Step-by-step explanation:
The answer is
20-25: 5
26-30: 5
31-35: 0
36-40: 10
41-45: 7
46-50: 2
51-55: 4
because to solve this problem you must make seven intervals and sort the numbers into those seven intervals.
What is Absolute value
Answer:
Absolute value is the distance on a number line. In other words, a number with absolute value will always be positive.
Answer:
Absolute value means to remove any negative sign in front of a number, and to think of all numbers as positive or zero.
Which graph shows all natural numbers less than three?
Answer:
A i think
Step-by-step explanation:
Answer:
Try b out
Step-by-step explanation:
if that isn’t working for you {because it didn’t work for me}try b because it says less the 3 b is the only one the is less then three
we have 10 marbles. five are blue Five are red. we select three marbles. what are the odds (in percent) that all three chosen are red?
Answer:
12.5%
Step-by-step explanation:
Step 1:
We need to find out the percentage of picking a marble that is red. In total, there are 10 marbles, and there are 5 red. To find the probability of picking a red marble, you need to do:
# of red / total marbles.
There are 5 red marbles and 10 total marbles, so the probability of getting a red marble is 5/10, and you can simplify it to 1/2 (5/10 * 5/5).
Step 2:
Now we can start finding the probability of finding the probability of choosing three red marbles in a row. Since we need to find the probability of choosing red marbles three times, you can multiply 1/2 by itself 3 times (1/2 * 1/2 * 1/2).
1/2 * 1/2 * 1/2 = 1/8
Step 3:
Now we need to convert the fraction into a percentage. You can find the percentage by dividing 1 by 8. You should get 0.125, and you can multiply 0.125 by 100, and your final answer should be 12.5%.
Find g(F(4)).
g(f(4)) =
4
Answer:
Step-by-step explanation:
f(4)= 4 - 7 = -3
g(-3) = (-3)^2 = 9
Answer:
g(f(4)) = 9
Step-by-step explanation:
HELP ME PLZ !! First one who answer these right gets brainliest !
Answer:
3. z = 0
I could only find the answer for number 3. I'm sorry! I hope this helps anyway!
Answer:
It might be very wrong
3. 6z + 12 = 30z + 12
0 = 24z
z = 0
4. 3x +3 +1 +2x = 4x +4+ x
4 +5x = 5x +4
0 = 0
5. - 2b = - 2b +4+3-3
0 = 4
A pizza store office three special pizza special number one is a square pizza with a side length of 14.8 inches that cost is $15 special number two is a round pizza with diameter 13 in that cost $12 special three is rectangler Pizza with length square root of 4 inches in width 200 square root inches that cause somebody to dollar switch special is the best deal and the worst deal
Answer:
the 1st pizza is the better deal
Step-by-step explanation:
two thirds as many books b. Translate into algebraic expression plz
Answer:
Ez, 2/3x
Step-by-step explanation:
Since he wants two thirds as many as book b so,
2 over 3 multiplied by b
Which equation could be used to create the graph
Rewrite this formula to convert Fahrenheit to Celsius. F= 9/5C + 35
Answer:
[tex] \huge \purple { \boxed{ C = \frac{5}{9} ( F - 32)}}[/tex]
Step-by-step explanation:
I the given problem, there should be 32 in place of 35.
[tex]F = \frac{9}{5} C + 32 \\ F - 32= \frac{9}{5} C \\ 5( F - 32)= 9 C \\ \frac{5}{9} ( F - 32)=C \\ \\ \huge \red{ \boxed{ C = \frac{5}{9} ( F - 32)}}[/tex]
The two figures below, a regular hexagon and a regular pentagon, have the same
perimeter. What is the length of a side of the pentagon?
Answer:
69
Step-by-step explanation:
Perimeter = sum of all sides of a regular polygon = the number of sides*length of a side
Length of a side of the given regular hexagon = 3x + 5
Perimeter of hexagon = 6(3x + 5) = 6(3x) + 6(5) = 18x + 30
Length of a side of the given regular pentagon = 4x - 1
Perimeter of pentagon = 5(4x - 1) = 5(4x) - 5(1) = 20x - 5
Since we are told that the perimeter of the regular hexagon is the same as that of the regular pentagon, therefore:
18x + 30 = 20x - 5
Solve for x.
Subtract 20x from both sides
18x + 30 - 20x = 20x - 5 - 20x
-2x + 30 = -5
Subtract 30 from both sides
-2x+ 30 - 30 = -5 - 30
-2x = -35
Divide both sides by -2
x = -35/-2
x = 17.5
Length of a side of pentagon = 4x - 1
Plug in the value of x
4(17.5) - 1 = 70 - 1 = 69
length of a side of the pentagon = 69
what is the answer to this?
[tex]3.14(7) \div 3 + 512 \div 24[/tex]
Solve d + (-d)
A. -2d
B. 0
C. d
D. 2d
Answer:
B. 0
Step-by-step explanation:
=>d+(-d)
=>d-d
=>0
Answer:
The answer is B. 0
Step-by-step explanation:
If the problem is d + (-d), then the answer is 0. Suppose that d = 7. Then it would be 7 + (-7), which is 0. You can't get any other number from that equation unless you do d + d or d - d.
Hope this helps.
* pleasegive me brainliest, i only need four more *
which equation could you use to solve for x in the proportion 4/5=9/x?
Answer:
Hope u liked it..............
I really need help on this. >.
Answer:
∠ D = 48°
Step-by-step explanation:
Since AC ~ BC then Δ ABC is isosceles and the base angles are equal, thus
∠ B = ∠ C = 69°, then
∠ ACB = 180° - (69 + 69)° = 180° - 138° = 42° ( sum of angles in Δ )
∠ DCE = ∠ ACB = 42° ( vertical angles )
∠ D = 180° - (90 + 42)° = 180° - 132° = 48°
Allen and Renaldo are gaining weight for basketball season. Allen weighs
178 pounds and is gaining three pounds per week. Renaldo weighs
203 pounds but is gaining two pounds per week.
Part A: In how many weeks will they both weigh the same amount?
(9x+1/2)+(7x-9 1/12)
Step-by-step explanation:
Input Equation can be rewritten:
= (9*1/2)+(7*-91/12)
= (9/2)+(7*-91/12)
= (4.5)+(7*-91/12)
= 4.5+(7*-91/12)
= 4.5+(-637/12)
= 4.5+(-53.083333333333)
= 4.5+-53.083333333333
= 4.5-53.083333333333
= -48.583333333333
hope this helps!
Answer:
16x-103/12
Step-by-step explanation:
(9x+1/2)+(7x-9 1/12)
9x+1/2+(7x-109/12)
remove parenthesis
9x+1/2+&x-109/12
combine like terms and differences.
16x-103/12
Write 6 1/6 as an improper fraction
Answer:
37/6
Step-by-step explanation:
The improper fraction is 37/6.
What is improper fraction?
An improper fraction is defined as a fraction whose numerator is greater than the denominator. Suppose, x/y is an improper fraction, such that x > y. It is therefore, the improper fraction is always greater than one.
Fractions have two parts, numerator and denominator. If ⅓ is a fraction, then 1 is the numerator, and 3 is the denominator. An improper fraction has a numerator greater than the denominator. For example, 3/2 is an improper fraction.
Given fraction is [tex]6\frac{1}{6}[/tex]
firstly we will multiply 6 by 6 and then we will add 1
(36+1)/6
= 37/6
Which is improper fraction.
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-6 < 3х + 15 <6
Pls help show all work
Answer:
-7<x<-3
Step-by-step explanation:
separate into two inequalities:
3x+15>-6
3x+15<6
solve inequalities:
3x>-21........3x<-9
x>-7.............x<-3
-7<x<-3
Which expression is equivalent to 8x + 14 + 9x - 5
Answer:
Step-by-step explanation:
17x + 9
round the prices to the nearest dollar. use the rounded prices to estimate the total bill. Crackers $1.28, Cheese $8.92, Jam $ 3.77, Butter $9.34.
Answer:
Crackers $1
Cheese $9
Jam $4
Butter $9
1+9+4+9
= $23
Help plz!! It is about 1.62 x 106 miles from Venus to the Earth. It
is about 5.4 x 107 from Earth to Mars. How far is it total
from Venus to Earth then Earth to Mars? Write your
answer in scientific notation.
Answer:
The nearest that Mars has ever been to the Earth is 56 million km or about 34.8 million miles. On the opposite end of the scale, Mars and Earth can be a whopping 401 million km (249 million miles) apart when they are in opposition and both are at aphelion. The average distance between the two is 225 million km (140 million miles).
Step-by-step explanation:
Answer: 81.398 million miles
Step-by-step explanation: Hope that helped you.
at 1pm there are 16 seagulls at 3pm there are 40 how many increased in 2 hours
Answer:
24
Step-by-step explanation:
40-16=24 ( brainlist? ) and your welcome!
find the distance between points (2,5) and (-2,2)
Answer:
5
Step-by-step explanation:
Let :
x(1) be 2
y(1) be 5
x(2) be -2
y(2) be 2
We know that distance between any 2 points is equal to:-
[tex] \sqrt{{(x(2) - x(1) )}^{2} + ({y(2) - y(1))}^{2} } [/tex]
So using the above formula ,
[tex] \sqrt{ {( - 2 - 2)}^{2} + {(2 - 5)}^{2} } [/tex]
[tex] = > \sqrt{ {( - 4)}^{2} + {( - 3)}^{2} } [/tex]
[tex] = > \sqrt{16 + 9} [/tex]
[tex] = > \sqrt{25} = 5[/tex]
4.06/x = 0.18/0.5 please could you answer
Answer:
x=203/18
Step-by-step explanation:
convert the decimal into a fraction
203/50/x = 9/50 / 1/2
simply the complex fraction:
203/50x = 9/25
cross multiply
450x = 5075
divide both sides by 450:
x= 203/18
Answer:
X=11.2778
Step-by-step explanation:
4.06/X=0.18/0.5
cross multiply
0.18×X=4.06×0.5
0.18X=2.03
divide both sides by 0.18
0.18X/0.18=2.03/0.18
it becomes
X=2.03/0.18
X is therefore 11.2778
4. Factor x2 - 4x – 32.
Answer:
(x - 8)(x + 4)
Step-by-step explanation:
We need to find something that multiplies to 32 and adds up to 4.
The 2 special numbers would be -8 and 4.
-8(4) = -32
-8 + 4 = -4
We then simply write out the factored form:
(x - 8)(x + 4)
Answer: (x+4)(x-8)
Step-by-step explanation:
x^2 - 4x -32 Find two numbers that their product is -32 and their sum is -4. The numbers -8 and 4 will work out because -8 times 4 is -32 and -8 plus 4 is -4.
Now rewrite the whole polynomial as
x^2 +4x -8x -32 Now group them
(x^2 +4x) (-8x -32) Now factor each side
x(x +4) -8(x +4) factor out x+4
(x+4)(x-8)
This summer, Silvia has been selling lemonade for $9 per cup. If Silvia has sold 19 cups so far, how much money has she made?
Answer:
$171
Step-by-step explanation:
Price of lemonade = $9 per cup
Quantity sold = 19 cups of lemonade
Revenue = price of the product × quantity of the product sold
Silvia's total revenue = price × Quantity
= $9 × 19 cups
= $171
Silvia has made a total of $171 from selling 19 cups of lemonade at $9 each
Shawna is making smoothies. The recipe calls for two parts yogurt to three parts blueberry. Shawna wants to make 10 cups of smoothie. Mix how many cups of yogurt and blueberries does Shawna need
Answer:
Shawna needs a mix of 4 cups of yoghurt and 6 cups of blueberries
Step-by-step explanation:
Here, we want to know the number of cups of yoghurt and smoothies Shawna needs to make;
We have 2 parts yoghurt and 3 parts blueberry, so we can say we have a ratio of 2:3
The total number of cups to be made is 10
So the number of cups of yoghurt will be;
2/(2+3) * 10
= 2/5 * 10 = 4 cups
The number of cups of blueberry would be;
3/5 * 10 = 6 cups
So a mix of 4 cups of yoghurt and 6 cups of blueberries is needed by Shawna
Can someone help please
Answer:
option a
Step-by-step explanation:
in figure 1: 4n+8 = 4×1=4+8=12
figure 2:4n+8 =4×2=8+8=16 and so on