Answers
Answer:
Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line. Illustration: In the diagram above, ∠ a and ∠ d makes a pair of alternate exterior angles and ∠ b and ∠c makes another pair of alternate exterior angles.
Answer:
<PNO & <JKI
Step-by-step explanation:
These angles are on the exterior. To find the alternative angle look on the opposite side of the transversal.
Related Questions
Suppose that 60% of students live in AnyTown. Find the probability that:
Round to three decimals.
A) Exactly 5 out of 10 randomly chosen students live in AnyTown
B) More than 5 students out of 10 live in AnyTown
C) The first AnyTown resident you find is the 5th person you ask
Answers
Answer:
Step-by-step explanation:
A.
5 chose 10 = 10*9*8*7*6/1/2/3/4/5 = 252
252 * (0.6)^5 * (0.4)^5 = 0.201
B.
6C10 * (0.6)^6 * (0.4)^4 + ... 10C10(0.6)^10 = 0.633
C.
(0.4)^4*0.6 = 0.015
Factor by grouping 8y3–4y2–14y+7
Answers
Answer:
[tex](2y - 1)( {4y}^{2} - 7)[/tex]
Step-by-step explanation:
1) Factor out common terms in the first two terms, then in the last two terms.
[tex] {4y}^{2} (2y - 1) - 7(2y - 1)[/tex]
2) Factor out the common term 2y - 1.
[tex](2y - 1)( {4y}^{2} - 7)[/tex]
Therefor the answer is, ( 2y - 1 ) ( 4y² - 7 ).
Answer:
[tex] \huge \boxed{ \boxed{ \red{ \sf (4 {y}^{ {2} } - 7)(2x - 1)}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:factoringPEMDASgiven:[tex] \sf 8 {y}^{3} - 4 {y}^{2} - 14y + 7[/tex]to do:factoringtips and formulas:how to factor
factor out common constants and termsgrouplet's do:[tex] step - 1 : define \\ \sf{8y}^{3} - {4y}^{2} - 14y + 7[/tex]
[tex] step - 2 : solve[/tex]
[tex] \sf factor \: - 7 \: and \: 4 {y}^{2} \: from \: the \: expression : \\ \sf 4 {y}^{ {2} } (2y -1 ) - 7(2y - 1)[/tex][tex] \sf \: group : \\ \sf (4 {y}^{ {2} } - 7)(2x - 1)[/tex]a square garden has a diagonal of 12 m. What is the perimeter of the garden? Express in simplest radical form
Answers
Answer:
The perimeter of the garden, in meters, is [tex]24\sqrt{2}[/tex]
Step-by-step explanation:
Diagonal of a square:
The diagonal of a square is found applying the Pythagorean Theorem.
The diagonal of the square is the hypothenuse, while we have two sides.
Diagonal of 12m:
This means that [tex]d = 12[/tex], side s. So
[tex]s^2 + s^2 = 12^2[/tex]
[tex]2s^2 = 144[/tex]
[tex]s^2 = \frac{144}{2}[/tex]
[tex]s^2 = 72[/tex]
[tex]s = \sqrt{72}[/tex]
Factoring 72:
Factoring 72 into prime factors, we have that:
72|2
36|2
18|2
9|3
3|3
1
So
[tex]72 = 2^{3}*3^{2}[/tex]
So, in simplest radical form:
[tex]s = \sqrt{72} = \sqrt{2^{3}*3^{2}} = \sqrt{2^3}*\sqrt{3^2} = 2\sqrt{2}*3 = 6\sqrt{2}[/tex]
Perimeter of the garden:
The perimeter of a square with side of s units is given by:
[tex]P = 4s[/tex]
In this question, since [tex]s = 6\sqrt{2}[/tex]
[tex]P = 4s = 4*6\sqrt{2} = 24\sqrt{2}[/tex]
The perimeter of the garden, in meters, is [tex]24\sqrt{2}[/tex]
6. Y(3.5, 1), Z(-4, 2.5)
Please help
Answers
Answer:
Answer given below
Step-by-step explanation:
5. Root 104 = 10.1
10.1 x 0.5 = 5.05 miles
PLZ HELP
x-5(x-1) = x- (2x-3)
Answers
Answer:
Step-by-step explanation:
x-5(x-1) = x- (2x-3)
x + x *(-5) + (-1) * (-5) = x + 2x*(-1) + (-3)*(-1) {use distributive property}
x - 5x + 5 = x - 2x +3 {Combine like terms}
-4x + 5 = - x +3 {Add 'x' to both sides}
-4x + 5 + x = -x + x + 3
-3x + 5 = 3 {subtract 5 from both sides}
-3x = 3 - 5
-3x = -2 {Divide both sides by (-3)}
x = -2/-3
x = 2/3
y + 1 = -4(x + 1)
Graph the equation
Answers
Answer:
-4x-5
Step-by-step explanation:
sorry I can't get the graph
Answer:
Step-by-step explanation:
y = -4x-5
Simplify x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2.
Answers
Answer:
what do you mean
Step-by-step explanation:
Answer:
x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 = 9x+18
so there are 9 twos or 18 and 9x. No value is provided for x so the answer is 18+9x.
Step-by-step explanation:
Which investment would make you the most interest? Explain.
A: $450 at 7% for 10 years
B: $1,300 at 5% for 6 years
Answers
find the equation of a straight line passing through the point (1,2) and making an intercept of 3 on the positive y-axis.
Answers
Question: equation of the line.
Solution:
General equation of a line: y = kx+d,
whereby:
the point (y|x) lies on the line
When x = 0, y = d
The point (0|3) says that d = 3.
So far, the equation is y = kx +3 ……… (1)
Inserting the point (1|2) into (1):
2 = k(1) + 3 => 2–3=k => -1 = k
Putting k into (1):
y = -1x + 3 => y = -x + 3 => y = 3 - x
Answer:
y = 3 - x
Solve −2x − 15 = 6x + 9. (1 point) Question 5 options: 1) 3 2) −3 3) −1 4) 6
Answers
Answer:
2) x = -3
Step-by-step explanation:
Collect like terms, so gather all your x's on one side, and numbers in the other. Add -6x and +15 to both sides, so you get -2x - 6x = +9 + 15, so we have -8x = 24, divide both sides by -8 you get x = -3.
GIVING BRAINLIEST AND EXTRA POINTS TO BEST EXPLAINED ANSWER EVER!
Answers
Answer:
3/16 of her garden are red roses
she was not correct, 2/4 is not equal to 3/16
Step-by-step explanation:
3/4 garden are roses
1/4 of those are red (1/4 of 3/4)
3/4 (1/4) = 3/16 of her garden are red roses
Answer:
Yes she is correct because if you have the 3/4 u still have 1/4 un planted an then she adds the 1/4 an that would make it 2/4.
Step-by-step explanation:
hope this helps
A new section of the freeway will be 6 3/5 miles long. So far 1/6 of the new section has been completed. How many more miles must be built to complete the project?
Answers
que es funcion.?????????¿
Answers
Answer:
es cuando una cosa esta trabajando como una computadora cuando esta encendida esta funcionando
Need help on this please any one
Answers
The graph of f(x) = |xl is transformed to g(x) = |x+1|- 7. On which interval is the function decreasing?
O (-infinite,-7)
0 (-infinite,-1)
0 (- infinite,1)
O (-infinite ,7)
Answers
Answer:c
Step-by-step explanation:
HELLPPP NEED TO DO THIS BEFORE 7:00
Answers
Answer:
7
Step-by-step explanation:
it's just 4 2/3 divided by 2/3, right?
Write an equation that relates the number of peppers, n, and the
cost, C.
Answers
Complete Question:
The local Farm Market sells peppers at five for $2.25. Write an equation that relates the number of peppers, n, and the cost, C.
Answer:
[tex]C = 0.45n[/tex]
Step-by-step explanation:
Given
[tex]5\ peppers = \$2.25[/tex]
Required
Determine the relationship between C and n
[tex]5\ peppers = \$2.25[/tex]
Divide both sides by 5, to get the cost of 1 pepper
[tex]\frac{5\ peppers}{5} = \frac{\$2.25}{5}[/tex]
[tex]1\ pepper = \frac{\$2.25}{5}[/tex]
[tex]1\ pepper = \$0.45[/tex]
Multiply both sides by n to get the cost of n pepper
[tex]n*1\ pepper = \$0.45*n[/tex]
[tex]n\ pepper = \$0.45n[/tex]
So, we have:
[tex]C = 0.45n[/tex]
How does 17- (-15) compare to 17-0
It is due there is 5 minutes please complete this. I will give brainlest, and extra points just complete this please
Answers
17-0=0
They are not equivalent so they are different.
Also for future reference when you have 2 minus signs they equal a addition sign.
Hope this helps :) GL
Rob is making a pizza the radius of the pizza is 21 inches what is the circumference of the pizza using 3.14 rounded to the nearest tenth
Answers
Answer:
131.9Step-by-step explanation:
C = 2πr
using 3.14 for π, we get C = 2(3.14)(21)
C = 2(65.94)
C = 131.88 or about 131.9
Here is some information about the goals scored in some hockey games.
I need to respond questions B and C
Answers
Answer:
c=10
Step-by-step explanation:
The difference of the squares of two positive consecutive even integers is 52. Find the integers. Use the fact that, if x represents an even integer, then x + 2 represents the next consecutive even integer
Answers
Answer:
12 and 14
Step-by-step explanation:
Let x represents an even integer. Another positive consecutive even integer will be (x+2).
According to question,
The difference of the squares of two positive consecutive even integers is 52 i.e.
[tex](x+2)^2-x^2=52\\\\x^2+4+4x-x^2=52\\\\4+4x=52\\\\4x=52-4\\\\4x=48\\\\x=12[/tex]
First integer = 12
Another integer = 12+2 = 14
Barbara needed 3 and 1/4 cups of flour for her recipe. If she measured 1/4 cup at a time, how many times did she have to fill the measuring cup?
Answers
Answer:
3/4
Step-by-step explanation:
If the simple interest on $2,000 for 3 years is $300 then what is the interest rate?
Answers
Answer:
100 dollars a year
Step-by-step explanation:
Which point(s) on the diagram show(s) the solution(s) to the equation x = x2 - 2x - 8?
solution 1
solution 2
Answers
Answer:here is the answer on yt
Step-by-step explanation:
https://youtu.be/dQw4w9WgXcQ
In the fall, you charge people $8 for going to their house to
rake leaves, then $5 for every hour you rake. If you make $38
one day, how many hours did you spend raking?
hours
Answers
Answer:
24 hours
Step-by-step explanation:
24 hours is in a day You have to read the answer and comprehend it
A rectangle has a length 3 times the width. What is the perimeter in terms of x?
Answers
Answer:
Perimeter is equal to all four sides added together.
Length = 3W; L=3W
So
P = 2(W) + 2(L) substitute the equation for length above you get
P = 2(W) + 2(3W) and combine
P = 2W + 6W = 8W; put in what the perimeter is and solve for W
66 = 8W, so W = 8.25
W = 8.25, L = 24.75
A triangle has an area of 36 cm². The base and height are scaled by a factor of 5.
What is the area of the resulting triangle?
Enter your answer in the box.
Answers
Answer:
900
Step-by-step explanation:
The area of the final triangle would be 900 cm².
What is scale factor?Scale factor is used to compare the final and initial dimensions of the figure. Mathematically, we can write scale factor -
{K} = {final dimensions/initial dimensions}
Given is that a triangle has an area of 36 cm². The base and height are scaled by a factor of 5.
Assume the initial dimensions of the triangle be {x} and {y} respectively. So, we can write the initial area as -
{1/2}{x}{y} = 36
{x}{y} = 72
After the scaling, we can write the final area as -
A = {1/2}{5x}{5y}
A = {25/2}{x}{y}
A = 12.5 x 72
A = 900 cm²
Therefore, the area of the final triangle would be 900 cm².
To solve more questions on scale factor, visit the link below-
https://brainly.com/question/30948953
#SPJ2
A town doubles its size every 70 years. If the population is currently 3,000, what will the population be in 140 years?
Answers
Answer:
12000
Step-by-step explanation:
3000x2^(140/70)
3000*2= 6000
6000*2= 12,000
If a 60-page magazine cost $1.20 to print, find the cost per page to print?
Answers
Answer:
2 cents per page
Step-by-step explanation:
1.2/60 = 0.02 dollars
==> 2 cents
a ant traveled 8 meters in 10 minutes. How many minutes did it take him to travel one meter?
Answers
Answer:
1 1/4 minutes of 75 seconds
Step-by-step explanation:
10/8 = 5/4 = 1 1/4
