Write a converse theorem that proves lines a and b below are parallel.
If _______ _______ angles are ________, then two lines vk it by a transversal are parallel.
Answers
Taking into account the definition of corresponding angles and Corresponding Angles Theorem, if the corresponding angles are congruent, then two lines cut it by a transversal are parallel.
First of all, remember that a transverse line is a line that crosses or passes through two other lines. Sometimes the other two lines are parallel and the transversal passes through both lines at the same angle. However, the other two lines do not have to be parallel for a transversal to cross them.
Corresponding anglesCorresponding angles are angles formed when a transverse line crosses two straight lines. These angles are formed at equivalent corners or at corners corresponding to the transversal when two lines are intersected by a third line.
In other words, if a transversal line intersects two parallel lines, the corresponding angles are those that are on the same side of the parallels and on the same side of the transversal.
Corresponding Angles Theorem
The Corresponding Angles Theorem states that if two parallel lines are cut by a transversal, then the corresponding pairs of angles are congruent.
Remember that if two angles are congruent, then they have the same measure.
The opposite of this theorem is also true: If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.
In summaryIn summary, if the corresponding angles are congruent, then two lines cut it by a transversal are parallel.
Learn more about corresponding angles theorem:
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Find the size of angle XZY.
Give your answer to 1 decimal place,
Z
15 cm
Y
6 cm
Answers
Answer:
23.6 degrees
Step-by-step explanation:
solve for x help it's due today
Answers
Answer:
x = 8√2
Step-by-step explanation:
use the pythagorean theorem with the 2 sides being the same
16^2 = x^2 + x^2
256 = 2x^2
Divide both sides by 2
128 = x^2
Take the square root of both sides
x = √128
x = √(64 * 2)
x = 8√2
Answer:
x= [tex]8\sqrt{2}[/tex] or 11.31
Step-by-step explanation:
You know that the shape is a square that is divided making 2 triangles. They are examples of 45-45-90 degree triangles. So with this information, you know that both lengths of the triangles are equal, with a hypotenuse of 16.
Side C= 16
Side A= Side B
45-45-90 Formula
Side C= [tex]a\sqrt{2}[/tex]
16= [tex]a\sqrt{2}[/tex]
[tex](16= a\sqrt{2})^{2}[/tex]
256=[tex]2a^{2}[/tex]
128=[tex]a^{2}[/tex]
[tex]\sqrt{128}[/tex]=a
a= [tex]8\sqrt{2}[/tex] or 11.31
7. Elle can buy milk at a local farmers'
market for $3.58 per gallon or at the
grocery store for $3.79 for 4 L. Which
is the better buy?
Answers
Answer: They are the same equivalent price, $0.95/liter.
Step-by-step explanation:
Choices: $3.58 per gallon, or $3.79 for 4 L.
========
We need to convert one of the volumes. I'll convert gallons to liters.
By definition, 1 gallon = 3.785 liters
Make this into a conversion factor:
We can make it either:
1) (3.785 liters/gallon), or
2) (1 gallon/3.785 liters)
Now convert the $3.58/gallon into dollars/liter. We'll use the second conversion factor so that gallons cancels out when we multiply:
($3.58/gallon)*(1 gallon/3.785 liters) = $0.95/liter.
The grocery store milk must also be converted to a price expressed per 1 liter:
$3.79 for 4 L
= $0.95/liter.
They are the same equivalent price, $0.95/liter.
Given f(x) = 8x + 1 and g(x) = f(x - 2), which equation represents g?
O A. g(x) = 6x + 1
O B. g(x) = 6x - 1
O C. g(x) = 8x + 15
O D. g(x) = 8x - 15
Answers
Answer:Given f(x) = 8x + 1 and g(x) = f(x − 2), which equation represents g substitute x-2 for x in f(x). we have. g(x)=8(x-2)+1. =8x-16+1. =8x-15.
Step-by-step explanation:
please need help answering this
Answers
9514 1404 393
Answer:
2
Step-by-step explanation:
Between the points at (x, y) = (-5, 4) and (-4, 6), the graph rises 2 units for a horizontal run of 1 unit. The average rate of change between the two points is ...
m = rise/run = 2/1 = 2
The average rate of change on the interval [-5, -4] is 2.
If
x
=
4
and
y
=
6
, evaluate the following expression:
20
+
3
(
3
y
−
4
x
)
Answers
20+3(3y-4x)
if x=4 y=6
20+3((3×6)-(4×4))=20+3(18-16)=20+3×2=20+6=26
answer: 26.
Weather report, pls help me y’all i don’t wanna fail this class i beg you plss
Answers
Answer:
1
Step-by-step explanation:
A toy rocket is launched from the ground, the equation
h= -16t^2+ 80t, models the height of the rocket h in feet at any timet
in seconds.
For which interval of time will the rocket be higher than 64 feet off the
ground?
Answers
Answer:
Step-by-step explanation:
We can graph the function and determine the points where the y value line is greater than 64 feet. We could also solve the equation for h = 64.
Graphing:
A graph is attached. The intersections of the line at height = 64 feet are at (1,64) and (4,64). The first is going up and the second coming down. The period of time the rocket is above 64 feet is from 1 to 4 seconds.
Solving:
h= -16t^2+ 80t
64 = -16t^2+ 80t
-16t^2+ 80t - 64 = 0
Solve using the quadratic formula:
We get two answers: 1 and 4 (seconds)
How to solve (8x-3)(5x+4)=0
Answers
Answer:
x= 3/8 = 0.375 , x= -4/5= -0.8
Step-by-step explanation:
8x-3=0
8x=3
8x/8 = 3/8
x= 3/8 converted to decimal will be =0.375
for 5x+4=0
5x= -4
5x/5 = -4/5
x= -4/5 = converted to decimal will be = -0.8
Answer:
x —4/5 or 3/8
Step-by-step explanation:
hope it helps u
plzz plzz plzz mark as brainliest
0.36 in simpliest form with the line over the 6
Answers
Answer:
11/30
Step-by-step explanation:
Let x = 0.366666666.....
Then
100x = 36.6666666....
10x = 3.6666666...
subtracting 100x - 10x eliminates the trailing 6s
90x = 33
divide both sides by 90
x = 33/90
reduce
x = 11/30
Write an explicit rule and recursive rule for a geometric sequence with a 2nd term of 6 and a 3rd term of 12.
Answers
Answer:
57777788999999888889999
The points (2,-5) and (5,r) lie on a line with slope 2. Find the missing coordinate r.
Answers
Answer: r = 1
Step-by-step explanation:
The slope of a line can be represented as [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Plugging in the following values would provide you with:
[tex]\frac{(r)-(-5)}{(5)-(2)} =2[/tex]
[tex]\frac{r + 5}{3} = 2[/tex]
[tex]r + 5 = 6[/tex]
[tex]r = 1[/tex]
Hope it helps :) and let me know if you want me to elaborate on anything.
I need help (if you can) the problem is Solve
the algebraic expression below.
(3)(0.2)+9
Answers
Answer:
9.6
Step-by-step explanation:
(3) * (0.2)=0.6
Then do 9+ 0.6
this will equal 9.6
There are four groups of 20 people walking on a shrew each person walks 3 miles how many total miles do all of the people walk
Answers
All the peoples in a group walk 240 miles.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
There are 4 groups of 20 peoples.
And, Each person walk 3 miles.
Now,
Since, There are 4 groups of 20 peoples.
So, Total number of peoples in 4 groups = 4 x 20
= 80
And, Each person walk 3 miles.
So, The distance cover by 80 peoples = 80 x 3
= 240 miles.
Thus, All the peoples in a group walk 240 miles.
Learn more about the multiplication visit;
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Neil is rolling a fair die and the last ten rolls have been 2, 5, 6, 3, 2, 1, 5, 2, 6, and 1. He says that the probability of getting a four on his next roll is higher since he has not gotten one yet. Is he correct?
A) No, the probability of getting a 4 on a fair die does not change. It will always be 16 no matter what he got on previous rolls.
B) Yes, since he has gotten everything but a 4 on the last ten rolls, the probability of getting a 4 is higher on the next roll.
C) No, since he has not gotten a 4 yet he is guaranteed to get one on the next roll as it is time for him to get one.
D) There is no way to tell until he rolls the die. You cannot accurately predict what he will get.
Answers
Answer:
A)No, the probability of getting a 3 on a fair die does not change. It will always be 1/6 no matter what she got on the previous roll.
Step-by-step explanation:
write a recursive formula for this sequence
2.3, 2.8, 3.3, 3.8, ...
Answers
Answer: 2.3
Step-by-step explanation: 3.8-3.3 =3.3-2.8=2.8-2.3=0.5 (common difference)of arithmetic sequence
a recursive formula for the sequence is : An+1=An +0.5
The casino will pay you $20 for every dollar you bet if your number comes up. How much profit is the casino making on the bet
Answers
Answer:
The casino is making 47 cents profit on your $1 bet
Step-by-step explanation:
19(1/38) + (-1)(37/38) = -0.4736
A you-pick blueberry farm offers 6 lbs of blueberry for $16.50.
Sketch a graph of the relationship between cost and pounds of blueberries
Answers
Answer:
Step-by-step explanation:
Lol hi
Together, 2 apples have 1/5 gram of fat. How many apples have a total of 4 grams?
Answers
Answer:
40 applesStep-by-step explanation:
Together, 2 apples have 1/5 gram of fat. How many apples have a total of 4 grams?
so 1 apple has 1/10 gram of fat
10 apples = 1 gram of fat
10 * 4 = 40 apples have a total of 4 grams
for f(x)=8x+8, find f(x) when x=5
A:-32
B:56
C:104
D:48
Answers
Answer:
D. 48
Step-by-step explanation:
f(x)=8x+8
f(x)=40+8
f(x)=48
Please help I do not understand what to do or what the answer is
Answers
Answer:
Step-by-step explanation:
[tex](x_{1} ,y_{1}) = (-3 , -4) \\\\(x_{2},y_{2}) = (-7 ,16)\\\\\\Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{16-[-4]}{-7-[-3]}=\dfrac{16+4}{-7+3}\\\\=\dfrac{20}{-4}\\\\=-5[/tex]
(1 , -3) & ( 1 , 0)
The x-coordinates in the points are unchanged. So, the line is parallel to y-axis.
Slope is undefined.
3) (0,2) , (4 , 0)
[tex]Slope =\dfrac{0-2}{4-0}=\dfrac{-2}{4}=\dfrac{-1}{2}[/tex]
PLEASE HELP IT’S TIMED!!!! 50 POINTS!!!
Answers
if sinA=1/2 then find sinA +cos A
Answers
Step-by-step explanation:
Given sinA – cosA = 1/2 squaring on both the sides, we get (sinA – cosA)2 = (1/2)2 ⇒ sin2A + cos2A – 2sinA cosA = 1/4 ⇒ 1 – 2sinA cosA = 1/4 ⇒ 1 – (1/4) = 2sinA cosA ⇒ 2sinA cosA = 3/4 ∴ sinA cosA = 3/8 → (1) (sinA + cosA)2 = (sinA – cosA)2 + 4sinA cosA = (1/2)2 + 4(3/8) = (1/4) + (3/2) = 7/4 (sinA + cosA) = √(7/4) = (√7)/2 .
Given that,
[tex]\sin A = \dfrac 12\\\\ \implies \sin^2 A = \dfrac 14\\\\\ \implies 1-\cos^2 A = \dfrac 14\\\\\ \implies \cos^2 A = 1 - \dfrac 14 = \dfrac 34\\\\\ \implies \cos A = \pm \dfrac{\sqrt 3}2\\\\\text{Case 1:}\\\\\sin A + \cos A = \dfrac 12 + \dfrac{\sqrt 3}2 = \dfrac{1 + \sqrt 3}2\\\\\text{Case 2:}\\\\\sin A + \cos A = \dfrac 12 +\left(- \dfrac{\sqrt 3}2\right) = \dfrac 12 - \dfrac{\sqrt 3}2=\dfrac{1 - \sqrt 3}2[/tex]
The L.C.M of two numbers is 2079 and their H.C.F. is 27. If one of the numbers is 297, then the other number is:
Answers
Step-by-step explanation:
2079 / 297 = 7
that is the first indication about what we need.
but 7 itself can't be the solution, because the solution needs to contain at least a factor of 27.
297 = 27×11
therefore,
2079 = 27×11×7
and the other number must now be
27×7 = 189
because due to the HCF it has to be divisible by 27, but must have another additional factor. a factor that allows it to divide 2079 without remainder, and makes it big enough to block any LCM lower than 2079.
there are only 2 other factors available in 2079 : 11 and 7.
297 has already "taken" 11, and the two numbers cannot be the same (otherwise the LCM and the HCF would be the number itself), so that leaves 7 for the other number.
hence the solution.
the other number is 189
and the other number must then be 27×7 = 189
Jason swims at a constant speed of 5 feet per second and gets a 30 second head start over Frank. How fast must Frank swim in order to reach 300 yards at the same time that Jason does? Answer numerically in feet per second.
Answers
Answer:
6 ft/s
Hope I helped
The table shows information about all students in a Year 7 form class.
Age 11 Age 12 Total
Girls 8 9 17
Boys 8 10 18
Total 16 19 35
A student is selected at random from the register.
Find the probability of selecting a boy.
Give your answer in its simplest form.
Answers
Answer:
18/35
Step-by-step explanation:
favorable cases (in this case they are the boys, so 18) divided by possible cases (every student).
HELP ASAP
Find the slope from the following points.
(-2, 12) (4, -6)
Answers
Answer:
-3
Step-by-step explanation:
Slope formula
Solve for c.
c+38=113
Enter your answer as a fraction in simplest form in the box.
c =
Answers
Answer:
c = 75
Hope this helps!
Step-by-step explanation:
c + 38 = 113
c + 38 - 38 = 113 - 38
c = 113 - 38
c = 75
A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in 1 over 2 hour?
Answers
27/2 = 13,5 miles
In 1/2 hour the boat will travel :
13,5 x 1/2 = 6,75 miles
Ok done. Thank to me:>
Hi pls help me I'm mad struggling
<3
Answers
Answer:
should have studied
Step-by-step explanation: