Answers
Answer:
Step-by-step explanation:
1. Copy the diagram using ruler for parallel lines * ensure they (the parallel lines) each have the same distance each point to one another before drawing or adding the transversal line L(3)
The transversal doesn't have to be exact to the diagram but the parallel lines do have to be correct to prove that angle 1 + 5 are identical and fit into each other.
2. They only become corresponding because of being on transversal to add to 180 degree. As you will see when you draw angle 1 on colored paper near the first blue/green circle and match with 5 below in the second blue/green circle.
3. The reason they want tracing paper afterwards of the same shape is so you can use alternatively to cover angle 5 in your book.
You will see they do cover each other.
Additional
''When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. ''
Should you enter search for the above statement it will show you an interactive tool you can use for regarding maths transversal.
Here you can compare parallel lines like l(1) and l(2) as even if they were not parallel they would still be corresponding angles. As you will see.
Related Questions
LO bisects NLM, Lm = 22, NO = 6, and LN = 14. What is the approximate value of x? A. x = 3.8 B. x = 9.4 C. x = 51.3 D. x = 73.3
Answers
14/6 = 22/x
Cross multiply:
14x = 132
Divide each side by 14
x = 9.4
Zach keeps his pet chameleon Pinky in a terrarium with the dimensions shown below. There's sand in the bottom of the terrarium that reaches a height of 888 centimeters. Zach gets a new terrarium for Pinky that is larger. The base of the new terrarium is 252525 by 646464 centimeters. Zach moved the existing sand to the new terrarium. How deep will the sand be in the new terrarium?
Answers
Answer:
The Sand Will Be 2 inches Dip
Step-by-step explanation:
240 h = 480
=> h = 2
sorry if this didn't help :p
On a map’s coordinate grid, Panthersville is located at (−3, 2), and Heel City is located at (4, 8). Falconton is the midpoint between Panthersville and Heel City. What is the approximate distance from Panthersville to Falconton? (Each unit on the grid represents 1 mile.) A. 3.25 miles B. 4.61 miles C. 5.00 miles D. 9.22 miles
Answers
Answer:
The approximate distance from Panthersville to Falconton is: B: 4.61 miles.
Step-by-step explanation:
Objective: Find the distance from Panthersville to Falconton. (Which is just half of the distance from Panthersville to Heel City because Falconton is the midpoint between both cities.)
First we need to find the distances from Panthersville to Heel City, which we are given the coordinates. ( Panthersville (-3,2) & Heel City (4, 8) )
-To find the distance between the two cities we use the distance formula:
d= √(x2 - x1) ^2 + (y2 - y1)^2 , so we set (-3,2) as x1 and y1 while (4,8) x2 and y2 and we just plug it in.
Once we plug it in we get:
d= √(4 - -3)^2 + (8 - 2) ^2
Then we solve the numbers in the parenthesis (4 - -3) = 7 and (8 - 2) = 6 so now we have:
d= √(7)^2 + (6) ^2
Next we solve for the exponents (7)^2 = (7 x 7 = 49) and (6)^2 = ( 6 x 6= 36) now it look like this:
d= √49 + 36
After that we just add both numbers together (49 + 36) = 85
d= √85
Now all we have to do is square root 85 which is just 9.219544457, just round it to the nearest hundredth and you will get 9.22.
So the distance from Panthersville to Heel City is about 9.22 miles.
Now we found the full distance we now need to find the distance from Panthersville to Falconton which is just half of that distance due to Falconton being the midpoint.
All we have to do is divide 9.22 by 2 and we get 4.61.
The distance from Panthersville to Falconton is 4.61 miles.
At which times could Rory's phone have been plugged into the charger? Select three options.
6 hours
9 hours
11 hours
14 hours
19 hours
Answers
Answer:
9 hours
11 hours
19 hours
9 hours, 11 hours, and 19 hours.
Mobile phone:A portable telephone that can make and receive calls over a radio frequency link while the user is traveling inside a telephone service area is known as a mobile phone, cellular phone, handphone, cell phone, cell phone, handphone, or pocket phone.Solution -
We can see that the given graph has both a climb and a fall.
The descending section of the graph shows a decline in battery life, and the rising part shows an increase in battery life.
The battery life increases while it is being charged.
Then, the increasing or steady component of the hours refers to the period of time Rory's phone might have been plugged into the charger.
Therefore, the times that this occurs are 9 hours, 11 hours, and 19 hours based on the selections provided.
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pLZZ i really need help my assignment past due and i just have one more question, please thankyou!!!!!!!!
Answers
Answer:
the answer is c
Step-by-step explanation:
convert the fractions to improper fractions 4/3 and 7/4 then multiply these fractions. youll get 28/ 12 and simplify to 2 1/3
Answer:
C
Step-by-step explanation:
So first, we should probably un-mix those fractions. So, we get:
4/3 x 7/4.
Multiplying this out, we get 28/12. Simplifying, we can get 2 1/3, which is C.
-36 4/9 - (-10 2/9)-(18 2/9)
Answers
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Hi my lil bunny!
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[tex]-364/9-(-102/9)-(182/9)[/tex]
[tex]= \frac{148}{3}[/tex] (Decimal: -49.333333)
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If this helped you, could you maybe give brainliest..?
❀*May*❀
The vertex formation of a parabola is x = 8(y- 1)2-76.
What is the standard form of the equation?
Answers
Answer:
[tex]\boxed{x=8y^2-16y-68}[/tex]
Step-by-step explanation:
Hello, please consider the following.
[tex]x=8(y- 1)^2-76\\\\x=8(y^2-2y+1)-76\\\\x=8y^2-16y+8-76\\\\\boxed{x=8y^2-16y-68}[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Dilate line f by a scale factor of 3 with the center of dilation at the origin to create line f'. Where are points A' and B' located after dilation, and how are lines f and f' related?
Answers
Answer:
a 0,1 and b 1,0
Step-by-step explanation:
exam took
Answer:
The other answer is incorrect the answer is
D) The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.
Sam's Lawn Service uses the equation, y = 15x + 25 to calculate the cost, y, to work on a
customer's lawn for x number of hours.
Ron's Lawn Service uses the table below to calculate the cost to work on a customer's
lawn.
Answers
Answer:
Rons costs less by 4 dollars
Step-by-step explanation:
Sams
y = 15x+25
x=3
y = 15*3+25
= 45+25
=70
Rons
Using averaging
for 3 hours Add 2 and 4 hours and divide by 2
(49+ 83) / 2 = 132/2= 66
Rons costs less by
70-66 =4
Find the x intercept zero
X=-5/3
X=-1 2/3
X=1.6
help me plz can somewon help me
Answers
Answer:
The answer is 6x10^-4.
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10 .
If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
How to get this answer:
Place the decimal point after the 6 to get 6.0
The question is now "how do we go from 6.0 to get back to 0.0006?"
The answer is "move the decimal point 4 spots to the left". This movement of "move 4 left" means the exponent is -4. The negative because we moved to the left. The 4 indicates how many spaces we moved.
So we get the scientific notation value of [tex]6.0 \times 10^{-4}[/tex] which is the same as [tex]6 \times 10^{-4}[/tex] because 6.0 simplifies to 6
What is the result of subtracting the second equation from the first?
Answers
Answer: 11x - 8y = -9
Step-by-step explanation:
Subtract it by terms.
8x - (-3x) = 11x
-4y - (4y) = -8y
-4-5= -9
order it
11x - 8y =-9
The product (5+ i) (5 – i) is a real number, 26. What are the factors (5 + i) and (5 – i) called? (1 point)
o complex numbers
O imaginary units
complex conjugates
O imaginary numbers
please help :( suck at math all the way
Answers
Answer:
complex conjugates
Step-by-step explanation:
The factors (5 + i) and (5 – i) are called complex conjugates.
Answer:
complex conjugates
Step-by-step explanation:
Numbers of the form a+ bi and a - bi are complex conjugates.
Their product is real.
The center of a circle is at the origin on a coordinate grid. The vertex of a parabola that opens upward is at (0.9). If the
circle intersects the parabola at the parabola's vertex, which statement must be true?
Answers
Answer:
The circle has radius = 9 units, and its equation is:
[tex]x^2+y^2=81[/tex]
The parabola has equation of the form:
[tex]y=a\,x^2+9[/tex]
with [tex]a[/tex] being a positive number
Step-by-step explanation:
Given the characteristics of the two figures (circle and parabola) as described,
since the parabola intersects the circle at a single point (it vertex) then the radius of the circle centered at the origin must be 9. that makes the equation of the circle to have the following standard form;
[tex]x^2+y^2=9^2\\x^2+y^2=81[/tex]
Since there is no other info regarding the parabola, the most one can say about the equation of the parabola, is that in vertex form, the parabola's equation must be of the form:
[tex]y=a\,(x-x_{vertex})^2+y_{vertex}\\y=a\,(x-0)^2+9\\y=a\,x^2+9[/tex]
with [tex]a[/tex] being a positive number.
i need to know what the answer is!?
Answers
Answer:
2
Step-by-step explanation:
Use PEMDAS
First simplify the exponent (9)
Next multiply 5 and 3 (15)
Now add 15 and 15 (30)
Add 9 and 6 (15)
Lastly simply 30 by 15 (2)
Answer:
[tex]\boxed{A. 2}[/tex]
Step-by-step explanation:
Hey there!
Well we first need to solve the top part.
15 + 5 * 3
5*3 = 15
15 + 15 = 30
3^2 + 6
3*3 = 9
9+6 = 15
Now we have 30 ÷ 15 = 2.
Hope this helps :)
help i want help i want help
Answers
Answer:
[tex] \boxed{127 \: {in}^{2} }[/tex]Option A is the correct option.
Step-by-step explanation:
Surface area of the rectangle base = 9 × 5 = 45 in²
Surface area of lateral square = ( 5 )² = 25 in²
Surface area of lateral rectangle = 6.4 × 5 = 32 in²
Surface area of top square = ( 5 )² = 25 in²
Surface area of two parallel trapezoids:
[tex] (\frac{1}{2} (9 + 5) \times 5) \times 2[/tex]
= 7 × 5 × 2
= 70 in²
Total surface area:
= 45 + 25 + 32 + 25 + 70
= 197 in²
Hope I helped!
Best regards!
Find the length of KE. A. 30 B. 28 C. 15 D. 3
Answers
Answer:
28
Step-by-step explanation:
What value of p makes both sides equal the same? P = 3
37 - 9 = 28
21 + 7 = 28
So line KE and BE both equal 28
Hope this helps, and have a good day :)!
The length line KE and BE both equal 28.
Option (B) is correct.
Find the length of KE.
What is angle?Figure which is formed by two rays or lines that shares a common endpoint.
Given that:
Let the value of
P = 3
Put the value of P
37 - 9 = 28
21 + 7 = 28
So, line KE and BE both equal 28
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What is the value of the expression in the image? A. 216 B. 224 C. 666 D. 678
Answers
Answer:
C. 666
Step-by-step explanation:
USING PEMDAS we can solve this problem.
[tex]675-(15-12)^3 / 3\\15-12=3\\675-(3)^3/3\\675-27/3\\675-9=666[/tex]
Answer:
666
Step-by-step explanation:
Following Order of Operations rules (PEMDAS), we must do first any operations that appear inside parentheses. Here (15 - 12) = (3).
Next we must perform any exponentiation. Here we have 3^3 = 27.
Then we have 675 - 27 / 3, or 666 (Answer C)
Find mPRˆ(arc). A. 115 B. 95 C. 125 D. 100
Answers
Answer:
D. 100°
Step-by-step explanation:
Refer to picture attached
Lines QP and QR are tangent to radius of circle.
Triangles ΔQPO and ΔQRO are right triangles and line QO bisects angles of ∠PQR and ∠POR.
So as per sum of angles in right triangle, we have:
1/2∠PQR + 1/2∠POR = 90°1/2(81x-1)° + 1/2(100x)° = 90°(90.5x)°= 90.5°x= 1°Then:
mPR(arc)= (100x)°= 100*1°= 100°Correct answer choice is D. 100°
Write an absolute value equation to satisfy the given solution set shown on a number line. PLEASE HELP
Answers
Answer: Ix - 4I ≤ 4
Step-by-step explanation:
You can see a black dot in the zero, and a black dot in the 8.
So those are the extremes of our set and are included in the set of solutions, we have that the set is defined by:
0 ≤ x ≤ 8.
Now we want to construct an absolute value equation such that the set {0 ≤ x ≤ 8} is the set of solutions.
The first step is to find the middle value of that set:
The middle value is equal to half of the difference between the extremes:
m = (8 - 0)/2 = 4.
Now we know the middle point, so we can write the equation:
Ix - mI ≤ m
m = 4
Ix - 4I ≤ 4
That is our inequality.
Where the "equal" part of ≤ is for the values x = 0 and x = 8.
Simplify the expression where possible. (r^-3 s^2 t)^4
Answers
Answer:
[tex]\frac{(s^8t^4)}{r^{12}}[/tex]
Step-by-step explanation:
Assuming that you tried to write:
[tex](r^{-3} s^2 t)^4,[/tex]
we can multiply the 4 on the outside of the parenthesis to all the terms. Multiplying, we get
[tex](r^{-12}s^8t^4)[/tex]
Because you don't want any negative powers in the top, we can move it down to get:
[tex]\frac{(s^8t^4)}{r^{12}}[/tex]
Answer:
there is no sign in between the two terms in the parenthese, maybe a google search on the properties of exponents would help because that's what this seems like
Step-by-step explanation:
11. Find the slope of the following coordinate points: (11,4)
and (5.-3)
Answers
Answer:
7/6
Step-by-step explanation:
We can find the slope by using the slope formula
m = (y2-y1)/(x2-x1)
= ( -3 -4)/(5 -11)
-7/-6
=7/6
Answer:
7/6
Step-by-step explanation:
m = (y2 - y1)/(x2 - x1)
m = (-3 - 4)/(5 - 11)
m = -7/(-6)
m = 7/6
Find the number of four-digit numbers which are not divisible by 4?
PLEASE HELP ASAP!!!
Answers
Answer:
i dont see the numbers
Step-by-step explanation:
Answer:
6750
Step-by-step explanation:
The first four-digit number divisible by 4 is 1000.
The last four-digit number divisible by 4 is 9996.
Modeling this as an arithmetic sequence, the nth term is:
a = 1000 + 4(n − 1)
So the number of terms is:
9996 = 1000 + 4(n − 1)
8996 = 4(n − 1)
2249 = n − 1
n = 2250
There are 2250 four-digit numbers that are divisible by 4. Since there are a total of 9000 four-digit numbers, that means there are 6750 four-digit numbers that are NOT divisible by 4.
what is 3 2/7 x 2 4/5 (Answer with a mixed number in simplest form) Thankyou!!
Answers
Answer:
9 1/5
Step-by-step explanation:
3 2/7 * 2 4/5
Change to improper fractions
( 7*3+2)/7 * ( 5*2+4)/5
23/7 * 14/5
Rewriting
14/7 * 23/5
2 * 23/5
46/5
Changing back to a mixed number
5 goes into 45 9 times with 1 left over
9 1/5
The product of 3 2/7 and 2 4/5 is 9 1/5 in simplest form as per the concept of simplifying fractions.
To multiply the mixed numbers 3 2/7 and 2 4/5, we need to convert them to improper fractions and then perform the multiplication.
First, convert 3 2/7 to an improper fraction:
3 2/7
= (3 x 7 + 2) / 7
= 23/7
Next, convert 2 4/5 to an improper fraction:
2 4/5
= (2 x 5 + 4) / 5
= 14/5
Now, multiply the two improper fractions:
(23/7) x (14/5) = (23 x 14) / (7 x 5)
= 322/35
To simplify the resulting fraction, we find the greatest common divisor (GCD) of the numerator (322) and the denominator (35), which is 7. Divide both the numerator and the denominator by the GCD:
322/35
= (322/7) / (35/7)
= 46/5
Now, express the improper fraction as a mixed number:
46/5 = 9 1/5
Therefore, the product of 3 2/7 and 2 4/5 is 9 1/5 in simplest form.
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if all the possible values of x are indicated by the shaded part of the number line above, which number line best shows all possible values of 1/x? (the shaded part in the number line is 0.5 to 1.5, the whole number line segment is from 0 to 3)
Answers
Answer:
can i see a picture of the number line?
Step-by-step explanation:
Sally is swimming in a race that has 5 laps. Swimming 2 lengths of the pool
counts as one lap. If Sally is halfway through the fourth lap, what fractional
part of the total laps in the race is left for Sally to finish?
Answers
Answer:
3/10
Step-by-step explanation:
Sally has to run 5 laps(2000m)
One lap = 400m
So we multiply 3.5( 3 1/2) [this the the distance Sally ran] by 400
The answer we get is 1400( this the total distance in meters she ran)
Next we subtract 1400( total distance she ran in meters) from 2000(total distance in meters she needs to complete.
The answer we get is 600 meters( this is the distance she is left with)
As a fraction is 600/2000
THE ANSWER REDUCED TO ITS LOWEST TERM IS 3/10.
Answer:
3/10
Step-by-step explanation:
In a Euler diagram, “No X are Y” would be represented how?
Answers
Answer: Two separated circles, one called X and the other called Y.
(so there is no element of the set X that is also in the set Y)
Step-by-step explanation:
"No X are Y"
This means that there is not a single element in the set X that is also in the set Y.
So in an Euler diagram, you can represent this as two circles, one called Y and other called X, where the circles do not intersect or touch at any point.
This particular case is represented similarly to how you would represent it in a Venn diagram
system of equations. Think of a real-world example where you would need
to solve using a system of equations. Write two or three sentences
describing your example. Include the equations in your description, but do
not solve the system. That will be left to your classmates. helppppp
Can someone help me with this? Does it mean cup or is it a typo? Also I need help with the answer.
Answers
Answer:
Yes it really does mean cup.
Step-by-step explanation:
This can only contian 1 jar
12.5 cups are equal to 100 ounces
if there are 100 oz in that little jar then only 1 large jar can be filled by a lttile jar.
Gracie, Mary, and Nancy each have a small collection of seashells. Gracie has 5 more than times the number of shells Mary has. Nancy has 1 more than times the number of shells Mary has. Gracie and Nancy have the same number of shells. If x is the number of shells Mary has, identify the equation that represents this situation and identify its solution.
Answers
Answer:
Answer is x = 24
Matches 3/2 x +1 = 4/5x-5
Step-by-step explanation:
We start with Mary 3/2x = 24 as 24/1.5 = 16 and 16 x 1/2 = 8
where 16 is 2/2 and 1/2 of 16 = 8
We find Nancy add 1 = 25 as 25/1.5 = 16.666.. and 1/2 = 8.333.
When 1 is added its done at end of both equations as multiplication occurs before hand.
Gracie has the same as Nancy = 5x+5 means 25 x 5 = 250+5 = 255 each.
50 x 5 = 250 + 5 +5= 510
510 + 24 + 1 = 535 seashells.
Because
24 + 1 = 25
matches
5/4 of 24 = 30
30 - 5 = 25
x=16 is the equation that represents this situation and identify its solution.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x be the number of shells Marry has.
Gracie has 5 more than times the number of shells Mary has.
Gracie = 1 1/4x + 5
Nancy = 1 1/2x+ 1
Now we have given that: Gracie =Nancy
[tex]1\frac{1}{4}[/tex] x + 5 = [tex]1\frac{1}{2}[/tex]x + 1
5/4x + 5 = 3/2x + 1
5x + 20 = 6x + 4
Subtract 6x and 20 on both sides
5x - 6x = 4 - 20
-x = - 16
x = 16.
Hence, x=16 is the equation that represents this situation.
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Explain how to solve 5x2-3x = 25 by completing the square. What are the solutions?
Answers
Answer:
x= 3 +√509/10
Or
x= 3 - √509/10
Step-by-step explanation:
Given:
5x2-3x = 25
Using completing the square method of solving quadratic equation
Step 1: Factor out the coefficient of the x^2 term.
5(x^2 - 3x/5) = 25
Step 2: Add a number that would complete the square inside the parenthesis and also add this to the other side of the equation.
Take (1/2) of (3/5)
1/2 × 3/5
= 3/10
Square 3/10
We have, 9/100
We have,
5(x^2 - 3x/5 + 9/100) = 25 + 9/100
Step 3: Simplify
x^2 - (3/5)x + 9/100 = 25 + 9/100
5(x^2 - 3x/5 + 9/100) = 5 + 9/20
Step 4:
factor the right side
(x - 3/10)^2 = 509/100
Take both roots
√ (x - 3/10)^2 = √509/100
x - 3/10 = ±√ [509/100]
x = [ 3 ±√509 ] / 10
x= 3+√509/10
Or
x= 3 - √509/10
= 10
then it will be 10-3x=25
move the 10 to the other side
which will be
-3x=25-10 note when moving it to the other side the signs change meaning it'll be negative
25-10=15
-3x =15
then ur going to divide -3 divided by -3 cancelled each other out and 15divided by-3 which gives u
-5
your answer will be
x= -5
If you're good at angles of elevation pls help meeee
Adam notices that the angle of elevation to the top of a building is 22 degrees. He walks 120m towards the building and the angle of elevation is now 28 degrees. How tall is the building?
Answers
Answer:
202m
Step-by-step explanation:
Please see attached picture for full solution.
Let x meters be the height of the building.
