Fill in the blanks. Use lower case.
Statements Reasons
1. ∠1 ≅ ∠2, ℓ ⊥ n 1.
2. ǁ n 2. converse of alternate interior angles theorem
3. ℓ ⊥ p 3. transversal theorem
Answers
Mathematical proofs are used to determine if a conjecture or statement is true, or otherwise.
The blanks will be filled with the following texts
Given[tex]\mathbf{\angle 1 \cong \angle 2}[/tex]ProvedFrom the question, the following parameters are given:
[tex]\mathbf{\angle 1 \cong \angle 2}[/tex] and [tex]\mathbf{l \perp 1}[/tex]
This means that, the first blank will be completed with given.
By converse of alternate interior angles theorem
[tex]\mathbf{\angle 1 \cong \angle 2}[/tex] --- angle 1 and angle 2 are congruent
So, the second blank will be completed with [tex]\mathbf{\angle 1 \cong \angle 2}[/tex]
The above statement means that:
[tex]\mathbf{l \perp 1}[/tex] has been proved
Hence, the last blank will be completed with proved.
Read more about mathematical proofs at:
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Related Questions
Hi I need an answer thank you
Answers
(REAL NOT FAKE)
4. Two pairs of related (x, y) values for a function are (-3, 9) and (-1, 13).
Find the slope and y-intercept, and write the equation of the function.
equation: __
slope: __
y-intercept: __
Answers
Step-by-step explanation:
Find the slope:
m = (13 - 9)/( - 1 + 3) = 4/2 = 2Find the y-intercept:
9 = 2(-3) + b9 = -6 + bb = 9 + 6b = 15The equation is:
y = mx + by = 2x + 15Slope
m=13-9/-1+3m=4/2m=2Equation in point slope form
y-9=2(x+3)y-9=2x+6y=2x+15Y intercept=15
y = x + 3
help with table and graph
Answers
Table:
1st row: x = -2 and y = 1
2nd row: x = -1 and y = 2
3rd row: x = 0 and y = 3
(It will continue going on with x and y each going up by one infinitely.)
Graph:
The graph is linked, so you can plot the points.
If needed, here are the plotted points:
-2, 1
-1, 2
0, 3
(The same things put in the table. Also, if needed, I added the extra points of 1, 4 and 2, 5 on the image.)
Hope this helps! :D
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.07 and the probability that the flight will be delayed is 0.12. The probability that it will not rain the flight will leave on time is 0.87. What is the probability that it is raining if the flight has been delayed? Round your answer .
Answers
Probability of not raining and the flight leaving on time is equals to 0.320 .
De Morgan's law
P( A'∩ B') = P (A∪B)'
P (A∪B)' = 1 - P (A∪B)
P(A∪B) = P(A) + P(B) - P(A∩B)
According to the question,
Let Probability of rain = P(A)
= 0.07
Probability of flight delay =P(B) = 0.12
Therefore ,
Probability of rain and flight delay = P (A∩B)
= 0.87
Probability of not raining and flight on time = P( A'∩ B')
Substitute the values in the formula
P( A'∩ B') = 1 - [ 0.07 + 0.12 -0.87]
= 1- 0.68
= 0.32
= 0.320 ( nearest thousandth)
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Matthew borrows $200, agreeing to pay it back with a 6% annual interest after 20 months. How much interest will she pay?
Answers
Answer:
$20.00
Step-by-step explanation:
Equation:
A = P(1 + rt)
convert R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year.
Putting time into years for simplicity,
20 months / 12 months/year = 1.666667 years.
sol.
A = 200(1 + (0.06 × 1.666667)) = 220.000004
A = $220.00
The total amount accrued, principal plus interest, from simple interest on a principal of $200.00 at a rate of 6% per year for 1.666667 years (20 months) is $220.00.
Interest: $20.00
10
h
+
6
−
5
h
+
3
sorry its weird, you can type it out it wont let me put it normally.
Answers
Answer: 5h+9
Step-by-step explanation:
10h + (-5h)
5h+(6(+3))
One number is seven less than six times another number. If the sum of the numbers is 56, find the numbers.
Answers
Answer:
The answer is 2
Step-by-step explanation:
You need to find out what is 56 divided by 6 which is 9. Then subtract, 9-7 which equals 2. So the answer is 2.
Please help
Solve for w
Answers
I hope this helps! Let me know if you have any questions! Good luck on the rest of your assessment!
Mark this as Brainliest if you get a chance:)
Please help help help
Find the value of x if the two triangles are similar. Explain.
Answers
Given :
The given two triangles are similar .
To find :-
The value of x .
Solution :
In larger triangle :-
90 + y + y = 180
2y = 180 - 90
2y = 90
y = 45°
As we know that ,
Corresponding Angles of similar triangles are same ,
15x = 45
x = 45/15
x = 3
Help me answer these questions
Answers
Answer:
Explanation below
Step-by-step explanation:
3. 46
4. 66
5. 30
6. 75
7. 18
8. 24
9. 33
10. 60
11. 16
12. 45
HELP PLEASEE !!!!! IM BEING TIMED!!!!!
Answers
Answer:
I cant see the picture can you tell me what it said?
Step-by-step explanation:
Find the equation for the vertical line that goes through point V (-5,17)
Need Help ASAP
Please
Answers
Answer:
y=0x-5
Step-by-step explanation:
A moderately active man weighing 175 pounds should consume no more than 687 calories per day from fat sources. If fat contains 9 calories per gram, what is the maximum number of grams of fat he should consume? Give me a whole number or decimal rounded to one decimal place. Thanks! Expert only please.
Answers
According to the question, therefore, the maximum number of grams of fat he should consume will be 76.3 grams.
Step-by-step explanation:-Directly divide 687 by 9 as both are fat content. Therefore, by dividing them, we get to know about how grams of fat can be consumed.
✍️ By Benjemin ☺️
Find the x- and y-intercepts of the graph of the function f(x)=−4|x+5|+8 .
Answers
Answer:
x-intercept(s): (−3,0),(−7,0)
y-intercept(s): (0,−12)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute i 0 for x and solve for y.
Write the scale without units: 1 cm:1 km
Answers
Step-by-step explanation:
scale = 1/100000 .
hope this helps you.
graph this linear equation
y-2=4(x-1)
Answers
x= 0,1
y= -2,2
Slope 4
Y-Intercept (0,-2)
Eleanor has £50. Trevor takes £y. Write an expression for how much Eleanor has got left.
Answers
Answer:
50-y
Step-by-step explanation:
Hope this helps :).
need help with #8 please
Answers
Answer: the common ratio is 1:2 because each time you are multiplyin by 1/2 each time .
Step-by-step explanation:
Answer:
5184 is the answer for 3 x 6 x 12 x 24
Step-by-step explanation:
Is this graph portional
Answers
9514 1404 393
Answer:
no
Step-by-step explanation:
The graph of a proportional relation is a straight line through the origin. The origin of this graph is at lower left. The line is nowhere near that, so does not represent a proportional relation.
2[(3x + 5) – 7] = 3(4x – 3)
Answers
Answer:
5 / 6
Step-by-step explanation:
2 [ ( 3x + 5 ) - 7 ] = 3 ( 4x - 3 )
2 [ ( 3x + 5 - 7 ] = 3 ( 4x - 3 )
2 [ 3x - 2 ] = 3 ( 4x - 3 )
6x - 4 = 12x - 9
12x - 9 = 6x - 4
12x - 6x = - 4 + 9
6x = 5
x = 5 / 6
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Exact Form:
x=5/6
Decimal Form:
x=0.8¯3
PLEASE HELP DUE IN 10!!!
Solve for the value of w.
Answers
Answer:
32 +9w-5=90
9w-5=58
9w=63
w=7
1/5(x + 0.5) + 5.24 = 3/2x + 7/10(x + 2.2)
Solve for x
Answers
Answer:
x=19/10
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
1/5(x+0.5)+5.24=3/2x +x+7/10(x+2.2)
(1/5)(x)+(1/5)(0.5)+5.24=3/2x+(7/10)(x)+(7/10)(2.2)(Distribute)
1/5x+0.1+5.24=3/2x+7/10x+1.54
(1/5x)+(0.1+5.24)=(3/2x+7/10x)+(1.54)(Combine Like Terms)
1/5x+5.34=11/5x+1.54
Step 2: Subtract 11/5x from both sides.
1/5x+5.34−11/5x=11/5x+1.54−11/5x
−2x+5.34=1.54
Step 3: Subtract 5.34 from both sides.
−2x+5.34−5.34=1.54−5.34
−2x=
−19/5
Step 4: Divide both sides by -2.
−2x=−19/5
x= 19/10
Answer:
x= 19/10
Poems written for entertainment in ancient Sumer were called _______.
a.
Scribes
c.
Epics
b.
Cuneiform
d.
Haiku
Please select the best answer from the choices provided
A
B
C
D
HELP ITS LIKE HELL
Answers
Answer: C) Epics
Explanation: Epics were popular in ancient Sumer as they were poems used for entertainment which usually included long stories about a hero or an important event. A very popular epic from Sumerian literature was the Epic of Gilgamesh.
I hope this helps you :D
c.) epics
poems written for entertainment in ancient sumer were called “ epics”. an epic poem is a long, serious, poetic narrative about a significant event, often featuring a hero
How to convert the mixed number to a fraction
6 and 1 over 7?
Answers
Answer:
43/7
Step-by-step explanation:
6 1/7
First, you need to multiply 6 by 7, then add 1
43/7
Answer:
[tex]\frac{43}{7}[/tex]
Step-by-step explanation:
6 x 7 + 1
there is 6 whole fractions so it would be [tex]\frac{7}{7}[/tex] 6 times then add the [tex]\frac{1}{7}[/tex]
which would be [tex]\frac{43}{7}[/tex]
hopefully that made sense!
Answer true or false
Answers
Answer:
true
Step-by-step explanation:
please mark brainiest
Kala is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges $ 79 and allows unlimited mileage.
Company B has an initial fee of $65 and charges an additional $0.70 for every mile driven.
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.
Answers
Answer: 21 miles
Step-by-step explanation:
The sum of two numbers is 45. The difference of the 2 numbers is 3. What is the product?
Answers
Answer:
Setting up problems like this requires a "system of equations." We'll call the two numbers "A" and "B." Make an equation out of the first sentence. "Sum" means the answer to an addition problem.
A + B = 45
After that, make an equation out of the second sentence. "Difference" means subtraction.
A - B = 3
There are two ways to solve this problem. The two ways are called "elimination" and "substitution." I don't know which way you usually do it, but for this case, elimination is more efficient, so I'll teach you how to do that. Look how "B" is positive in the first equation, but negative in the second equation. If these two equations get added together, the B-terms will cancel.
A + B = 45
A - B = 3
-------------
2A = 48
A = 24
Perfect, we got one of the numbers, which is 24. Plug in A = 24 into any of the equations to find B.
A + B = 45
24 + B = 45
B = 21
This means that our two magic numbers are 24 and 21. The product of these numbers can be found by multiplying them to get 504 (C). I hope this helps, and good luck with the rest of your math class!
Step-by-step explanation:
please mark me as brainlest
Suppose a standard six-sided die is rolled and you receive $6.50 for every dot showing on the top of the die. What should the cost of playing the game be in order to make it a fair game?
The cost of playing the game should be?
Answers
6÷6.50=$1.08. 1.08 ×6= $6.48 + 2 =6.50
In which part of the graph is the distance from home decreasing?
A. 3
B. 2
C. 1
D. 4
Answers
Answer:
3
Step-by-step explanation:
According to the graph, three is the lowest point which is decreasing
Answer:
its 2 bc its going down
Step-by-step explanation:
8,326 x 9 =n
which is the answer?
A. 52,234
B.74,934
C.2,376
D.3008
E. none
Answers
Answer:
B
Step-by-step explanation:
Answer:
2376 square feet
Step-by-step explanation:
40 x 15 = 600
40 x 24 = 960
1/2 x (24 x 9) = 108
600 + 600 + 960 + 108 + 108 = 2376