Answer:
k = 10
Step-by-step explanation:
9 - 5k = 12 - (6k + 7)
open the parenthesis
9 - 5k = 12 - 6k - 7
add 6k to both sides of the equation
9 - 5k + 6k = 12 - 6k - 7 + 6k
combine like terms
9 + k = 19
subtract 9 from both sides of the equation
9 + k - 9 = 19 - 9
k = 10
consider the figure below. which of the following lines are parallel? justify your answer.
Answer:
1. r1 || r2 because of the same side or consecutive interior theorem
2. l1 || l2 because they are corresponding angles
The angle formed between two parallel lines having a common transversal have several common properties
The correct responses are;
1. Lines r₁ and r₂ are parallel
2. Lines, l₁ and l₂ are parallel
lines r₁ and r₂, are parallel
The reason why the given lines are parallel are as follows:
1. The given figures are presented as shown in the attached diagram
From the diagram, we have that the same side interior angles formed by the common transversal l₂ the lines r₁ and r₂ are 63° and 117°, which are supplementary angles (63° + 117° = 180°)
Therefore, lines r₁ and r₂ are parallel given that same side interior angles formed by two parallel lines having the same transversal are supplementary
2. From the attached diagram, we have;
The alternate exterior angles formed between the lines, l₁ and l₂ that have the common transversal r₁ are equal, therefore;
Lines, l₁ and l₂ are parallel, given that the alternate exterior angles formed by two parallel lines having a common transversal are equal
From the diagram, we also have that the other angle of the linear pair angle with the 63° angle is 117°, and the second angle of the linear pair angle is both either corresponding angle and alternate interior angle with the given 117°
Therefore, lines r₁ and r₂, are parallel given that corresponding angles and the alternate interior angles formed between parallel lines having a common transversal are equal
Learn more about the angles formed between parallel lines having a common transversal here:
https://brainly.com/question/15937977
Find all values of k the value of the fraction 11k−15/3 is greater than the value of the fraction 5−2k/4 .
Answer:
k>3/2
Step-by-step explanation:
To solve this, you need to do fraction cross-multiplying.
So, If a/b=c/d, then a*d=c*b
After you cross-multiply, you get this: (11k-15)*4>3(5-2k)
If you simplify 3(5-2k), you get 15-6k
Then, simplify the next side as well
The full simplified expression should be: 44k-60>15-6k
If you add 60 to both sides, you get 44k>-6k+75
Then add 6k to both sides 50k>75
Then all you have to do is divide both sides by 50 and you get:
K>3/2 OR k>1.5
Please Help ASAP PLEASE !!!!!!!
Which mathematical property is demonstrated?
If y=−7 and −7=z, then y = z.
A. symmetric property of equality
B. closure property of multiplication
C. closure property of addition
D. transitive property of equality
Answer:
transitive property of equality
Step-by-step explanation:
I know cus i took the test also sorry it took so long dude
A recipe uses 5 cups of flour for every 2 cups of sugar.
How much flour is used for 1 cup of sugar
Answer:
2.5
Step-by-step explanation:
If the ratio is 5:2, then you just have to divide 5 / 2.
5 / 2 = 2.5
Answer:
If 5 cups of flour= 2 cups of sugar
1 cup=1×2/5
=2/5
Step-by-step explanation:
Michael is renting a bicycle for $12 per hour. How many cents per minute?
Answer:
0.20
Step-by-step explanation:
(9, - 4) and (5, 3) In simplest radical form
Answer: 33
Step-by-step explanation:
(9,-4) and (5,3)
=9*5+(-4)*3
=33
After how many years will $1,500 you invested now will be worth $3000 if it is compounded monthly at 4% interest?
The ratio of boys to girls is 4:6 in Mrs. Franklin's class. If there are 36 girls, how many boys are there?
Answer:
24
Step-by-step explanation:
Lets say 4 boys to 6 girls if there are 36 girls do 4x6 to figure out the ratio of boys would be 24 boys and 36 girls if the other way around it would be 24 girls and 36 boys
A zoo has 96 chickens and ducks altogether.
The ratio of the number of chickens to the
number of ducks is 53. How many chickens
does the zoo have?
Answer:
The zoo has 43 chickens.
Step-by-step explanation:
I did the math. Teehee ur welcome :)
help plz
i need help
Answer:
ill help you with my long shalong
Step-by-step explanation:
Terrell had a chain of 56 paper clips. Some of the paper clips fell off. Now there are 38 paper clips in the chain. How many fell off?
Answer:
56 - 38 = 18
Step-by-step explanation:
Answer:
18 paper clips
Step-by-step explanation:
56 paperclips originally - x paperclips = 38 paperclips
56 - x = 38
+ x + x
56 = 38 + x
- 38 - 38
18 = x
x = 18
Which of the following is NOT true about Nebuchadnezzar?
He created a code of laws that were very strict.
He created the Hanging Gardens for his wife.
He went insane at the end of his life.
He decorated the city with colored bricks and animal statues.
Your answer would be C.
He did not go insane
Help out
It is due at 7:00
Answer:
I want the free points. Sorry :)
TEST
1) ERROR ANALYSIS: Identify and correct the error in describing the transformation of the parent
function.
Sadly the question is incomplete, so we can not see the described transformation of the parent function, thus we can't see the error in that description.
What we can do is describe the transformation shown here.
Here we can see the parent function:
f(x) = x^2
This function opens upwards, so what we see in the graph is this function reflected across the horizontal axis (the x-axis). So the transformation is just a reflection across the x-axis.
(notice that it passes through (-1, -1) and (1, -1), so there is no dilation nor contraction)
For a general function f(x), a reflection across the x-axis is just:
g(x) = -f(x)
So here the transformed function is:
g(x) = - x^2
If you want to learn more, you can read:
https://brainly.com/question/14536884
A proportional relationship is shown in the table below:
xxx 000 1.31.31, point, 3 2.62.62, point, 6 3.93.93, point, 9 5.25.25, point, 2
yyy 000 111 222 333 444
What is the slope of the line that represents this relationship?
\qquad
1.3
Graph the line that represents this relationship.
m= 46
I know this becuase i just did this on khan :)))))
Даны векторы "а" ⃗ (10;2)и "b" ⃗ (1;-1). Выполните действие над векторами:
а) 0,5"а" ⃗+ 5b ⃗
б) "а" ⃗- b ⃗
в) "а" ⃗+ b ⃗
применяет правила сложения векторов
применяет правила вычитания векторов
применяет правило умножения вектора на число
СРОЧНО ПЖ СОР
Answer:
he is the number of people
Alison is preparing for a math contest. Each day, she works on multiplication problems for 10 minutes and division problems for 30 minutes.
How many minutes does Alison practice multiplication and division problems in 10 days?
Alison practices multiplication and division problems for blank minutes in 10 days. the answer is 400
Answer:
it's 400-
Step-by-step explanation:
total minutes a day is 40, multiplied by 10 days
Please help what Is 4/5 divided by 2
Answer:
2/5
Step-by-step explanation:
Answer:
2.25 is your answer
Step-by-step explanation:
HELP!!!
Ten hours after a runner and cyclist leave the house at the same time and head in the same direction, the cyclist is 150 miles ahead of the runner. If the cyclist's speed is seven mph more than twice the speed the speed of runner, find the speed of the runner and the cyclist.
Speed of runner:
mph
Speed of cyclist:
mph
Answer:
8 mph and 23 mphStep-by-step explanation:
Let the speed of runner be r and speed of cyclist be c
Time = 10 hoursDifference in distance = 150 mWe have following equations based on the given
10c - 10r = 150c = 2r + 7Simplifying first equation
c - r = 15c = r + 15Comparing this with second equation
2r + 7 = r + 152r - r = 15 - 7r = 8 mphAnd finding the value of c
c = 8 + 15 c = 23 mphwrite an equation in slope-intercept form that meets the criteria described slope =3,through (5,2)
Answer:
y = 3x - 13
Step-by-step explanation:
The ruler is marked at every 1/16 inch. Do the labeled measurements convert to repeating or terminating decimals?
Answer:
Terminating
Step-by-step explanation:
1/16=0.0625, 1/8=0.125, 1/4=0.25, 1/2=0.5; which are all terminating.
> 34.06
A.
18.058
B.
34.060
C.
35.13
D.
43.05
E.
54.06
Answer:
The answer would be C Hope this helps :)
Step-by-step explanation:
Answer:
C, D, E
Step-by-step explanation:
A. and B. are both less than or equal to 34.06. The others are greater than 34.06
can be tested by subtracting 34.06 by the other numbers and with a negative result, it is greater than 34.06. for example 34.06 - E. (54.06) = -20
so E(54.06) is greater than 34.06. If you couldn't already tell.
B is incorrect because it is equal to 34.06. A also is incorrect. This is because it is less than 34.06. 34.06 - A.(18.058) = 16.002. The result of a positive number means it is less than the number on the right of the inequality sign.
13. Which type of flower is the better buy?
Type of
Number of
Cost ($)
Flower
Flowers
Roses
2.
$7
Lilies
3
$9
Tulips
4
$11
Answer:
Tulips
Step-by-step explanation:
7÷2 is 3.50$ Each Rose costs 3.50$
9÷3 is 3$ Each Liliy costs 3$
11÷4 is 2.75$ Each Tulip costs 2.75$
Write an equation of a line in slope-intercept form that passes through the point (-2, 4) and has a slope of -3. (no spaces in your answer)
Answer:
y = - 3x - 2
Step-by-step explanation:
Step 1:
y = mx + b Slope Intercept Form
Step 2:
y = - 3x + b Input Slope
Step 3:
4 = - 3 ( - 2 ) + b Input x and y
Step 4:
4 = 6 + b Multiply
Step 5:
- 2 = b Subtract 6 on both sides
Answer:
y = - 3x - 2
Hope This Helps :)
Ali"s dog weighs 8 times more than her cat. Together the animals weigh 54 lbs. How much does Ali's dog weigh?
Answer:
48 lbs
Step-by-step explanation:
say that the cat weighs x pounds. then the dog weighs 8x pounds. together they weigh 54 pounds. So our equation is x+8x=54. solve for x to get the cat's weight, and you get x=6. The cat weighs 6 lbs. all I need to do now is multiply 6 by 8 so this the dog weighs 8 times as much as the cat. 8•6=48. the dog weighs 48 pounds.
Systems of equations. Will give brainlest!
Answer:
Step-by-step explanation:
An electrician charges a base fee of $65 plus $50 for each hour of work. The minimum the electrician charges is $165. Create a table that shows the amount the electrician charges for 1, 2, 3, and 4 hours of work. Determine the domain and range of the relation in context and explain whether or not this represents a function.
P.S The range values are repeated. So it's a total of 3 range values, and 1 is repeated.
Is there more information so that I solve?
Domain: hours worked
Domain Values: 1,2,3,4
Range: dollars charged
Range Values: 165, 215, 265
The relation is a function. Each domain value is paired with exactly one range value.
If u answer this i will give your answer a like and help with anything u need!
Answer:
0 . 4 = 2 / 5
Step-by-step explanation:
which is a endpoint of a ray
Answer:
A is the endpoint ray
Step-by-step explanation:
Point A is the ray's endpoint. One way to think of a ray is a line with one end. A ray starts at a given point and goes off in a certain direction forever, to infinity. The point where the ray starts is called (confusingly) the endpoint.
A triangular prism has a base area of 15 square meters. If the volume of the prism is 135 cubic meters, what is the height of the prism? SHOW YOUR WORK. (5 points)
a
3 meters
b
45 meters
c
9 meters
d
27 meters
need done quick