Answers
===========================================================
Explanation:
Check out the diagram below. I've added in the label (4x+13) degrees to the angle adjacent to the (9x-2) degree angle. This is valid due to corresponding angles being congruent when we have parallel lines like this.
The two angles form a 180 degree straight angle
(4x+13) + (9x-2) = 180
4x+13 + 9x-2 = 180
(4x+9x) + (13-2) = 180
13x + 11 = 180
13x+11-11 = 180-11 .... subtracting 11 from both sides
13x = 169
13x/13 = 169/13 .... dividing both sides by 13
x = 13
We can verify this by noticing that
4x+13 = 4*13+13 = 65
9x-2 = 9*13-2 = 115
So, (4x+13)+(9x-2) = (65)+(115) = 180, showing the two angles are supplementary.
-----------------
The angles (9x-2) and (6y-1) are also a linear pair. They are adjacent and supplementary
Let's use x = 13 to find the value of y
(9x-2) + (6y-1) = 180
9x-2+6y-1 = 180
9x+6y-3 = 180
9*13+6y-3 = 180 .... plug in x = 13
117+6y-3 = 180
6y+114 = 180
6y+114-114 = 180-114 .... subtract 114 from both sides
6y = 66
6y/6 = 66/6 ...... divide both sides by 6
y = 11
To help confirm,
6y-1 = 6*11-1 = 65
which adds onto the (9x-2) = 115 degree angle to get 180.
-----------
Side note: as an alternative, you can solve 4x+13 = 6y-1 to get the same y value. This is because alternate exterior angles are congruent when we have parallel lines like this.
Related Questions
Consider the diagram Lines AC and RS are A coplanar. B parallel. C perpendicular D skew.
Answers
Answer: The answer is skew!
Step-by-step explanation:h
When lines are not parallel, and they do not intersect, such lines are said to be skewed.
Line AC and RS are skew.
From the diagram, we have two planes.
Plane xPlane yLine AC is on plane x, while line RS is on plane y
Plane x and plane y are not parallel;
So lines AC and RS are not parallel.
Also, both lines are not parallel.
Using the condition of skewness stated above, we can conclude that line AC and RS are skew.
Read more about skewness at:
https://brainly.com/question/1995934
y-3x=13 for y. Can someone plz help i don’t know what this is and please explain the steps well
Answers
Answer:
3x-y=-13
Step-by-step explanation:
y-3x=13
Use the commutative property to reorder the terms
-3x+y=13
Change the signs on both sides of the equation
3x-y=-13
Solve the equation by the square root property. (x - 5)2 = 9 What is the solution set? (Use a comma to separate answers as needed.) D
Answers
Answer:
See answer below.
All you have to do is input the equation into the square root formula.
Step-by-step explanation:
Answer:
x =
2 , 8
Step-by-step explanation:
(x-5)² = (x-5)(x-5) = x*x + x*-5 - 5*x - 5*-5 = x² - 5x - 5x + 25
= x² - 10x + 25
x² - 10x + 25 = 9
x² - 10x + 25 - 9 = 0
x² - 10x + 16 = 0
x = {-(-10)±√((-10)²-(4*1*16))} / (2*1)
x = {10±√(100-64)} / 2
x = {10±√36} / 2
x = {10±6} / 2
x₁ = {10-6} / 2 = 4/2 = 2
x₂ = {10+6} / 2 = 16/2 = 8
Check:
x₁
(2-5)² = 9
-3² = 9
x₂
(8-5)² = 9
3² = 9
translate this phrase into algebraic expression 23 increased by twice gali’s score use variable g represent gali’s score
Answers
Hey there! I'm happy to help!
We have twice Gali's score, which is 2 multiplied by g, which we can write as 2g.
We increase 23 by 2g, which means, we add.
23+2g.
Have a wonderful day! :D
Answer:
23+2g
Step-by-step explanation:
Let g = gali's score
[tex]twice \:gali\: score = 2\times g\\\\= 2g[/tex]
To increase = +
[tex]23 +2g[/tex]
what is the radius of 16\pi
Answers
During a science experiment, Daniel noted the starting
temperature of a -4°F. At the end of the experiment, the
change in temperature was -5°F. What was the final
temperature?
A.-1 B.1 C.9 D.-9
Answers
Answer: D. - 9
Step-by-step explanation:
Give the following :
Starting temperature = - 4°F
At the end of the experiment, the change in temperature was -5°F
What was the final temperature?
Taking the difference of the starting temperature and the final temperature should give the change in temperature over the course of the experiment.
Δtemperature = (final temperature - initial temperature)
Δtemperature = - 5°F
Initial /starting temperature = - 4°F
Hence,
-5 = final temperature - (-4)
-5 = final temperature + 4
Final temperature = - 5 - 4
Final temperature = - 9
Please help, I don't understand, please
-8+(-3)=
Answers
Answer: -11
Step-by-step explanation:
Answer:
the answer is -11
Step-by-step explanation:
= -8+ -3
= -11
Jeri drew the following model to represent the fraction 2/3. What's wrong with her model? had to redo it
Answers
Answer:
It is not an equal diagram it is showing 1/2 instead of 2/3
Step-by-step explanation:
HOPE THIS HELPS!!! (mark brainliest)
The model is incorrect because 2/3 represents the 2 parts of 3 whole and the model is not representing 2/3.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
The model is representing 2/3.
As we can see in the picture the model is not representing 2/3 because 2/3 means 2 parts of 3 whole.
It is not an equal diagram it is showing 1/2 instead of 2/3
Thus, the model is incorrect because 2/3 represents the 2 parts of 3 whole and the model is not representing 2/3.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
(-8p^3+9p^2q)+(8p^3-pow+5q^2)
Answers
Answer:
-1opw+9p^2q+5q^2
Step-by-step explanation:
Evaluate –32 + (2 – 6)(10
Answers
Steps to solve:
-32 + (2 - 6)(10)
~Simplify
-32 + (-4)(10)
~Multiply
-32 - 40
~Subtract
-72
Best of Luck!
Answer:
The answer is -49Step-by-step explanation:
The equation is: –32 + (2 – 6)(10).
Then u have to do PEMDAS
P=Parentheses
E=Exponents
M=Multiplication
D=Division
A=Addition
S=Subtraction
you follow the steps to get -49
Arnold needs to simplify the expression below.
4.3x3+11
(8.2-0.5 x 7)- 6
Which operation should he perform first?
O 7-6
O 0.5x7
O 8.2-0.5
3 +11
Answers
Answer:
0.5 x 7
Step-by-step explanation:
hope this helps
The ratio of cats to dogs in the park is 2:3. If there are 18 dogs in the park, how many cats are in the park?
Answers
Answer:
12
Step-by-step explanation:
A small family home in Tucson, Arizona has a rooftop area of 1967 square feet, and it is possible to capture rain falling on about 61.0% of the roof. A typical annual rainfall is about 14.0 inches. If the family wanted to install a tank to capture the rain for an entire year, without using any of it, what would be the required volume of the tank in m3 and in gallons
Answers
Answer:
Required of volume of tank = 39.62 m3 or 10471.18 gallons
Step-by-step explanation:
Total volume of water collected = Annual Rainfall * Useful Area
Total volume of water collected = 1199.87 * 1.1667
Total volume of water collected = 1399.89 ft3
---1 ft3 = 7.48 gallons
Hence, total volume of water collected in gallons = 1399.89 * 7.48 = 10471.178 gallons
----1 ft3 = 1/35.315 m3 = 0.0283 m3
Therefore total volume of water collected in m3 = 1399.89 * 0.0283 = 39.6169 m3
Workings
Useful area = 61% of 1967
Useful area = 0.61 * 1967
Useful area = 1199.87 sq/ft.
Annual rainfall = 14 inch = 14/12 month
Annual rainfall = 1.1667 ft.
Which is the correct interpretation of the x-intercepts of the function? Their difference is the number of the most promo codes in a single day. Their sum is the total number of days the number of codes increased. Their sum is the total number of promo codes the publicist is releasing before the new record. Their difference is the number of days the first promo codes were released before the new record.
Answers
Answer:
d
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
provide brainliest plz I need that bread
Josiah bought 22 chicken wings for $26.40. How much would it cost for 9 wings?
Answers
Answer:
it would cost $10.8 for 9 chicken wings.
Step-by-step explanation:
Cost of 22 chicken wings = $26.40
we have to find first, cost of 1 chicken wings
For that we divide both side by 22
cost of 22/22 chicken wings = $26.40/22 = 1.2
Thus, cost of 1 chicken wings = $1.2
to fins cost of 9 chicken wings
we multiply both sides by 9
cost of 1*9 chicken wings = $1.2*9
cost of 9 chicken wings = $10.8
Thus, it would cost $10.8 for 9 chicken wings.
the answer to your question is 10.8
Demi traveled 480 miles in 6 hours. What was her average speed in miles per hour?
Answers
r x t = d
That is, rate x time equals distance. The problem statement asks us for the rate and gives us the time (6 hours) and distance (480 miles). We can substitute those values into the classic formula:
r x 6 hours = 480 miles
To solve for r, we divide the terms on both sides of the equal sign by 6 hours. This works because the two sides are equal and we treat them equally by dividing the two sides by the same amount, so the results should be equal. Thus we get:
r = 480 miles/6 hours
Simplifying, we get:
r = 80 miles/hour
To CHECK, let’s plug back into the original equation:
r x t = d
80 miles/ hour x 6 hours = 480 miles
480 miles = 480 miles which is true. Yippee.
.
Ms. Lady works-out with Ms. Beetle; her average
crawling time has increased to 4 feet per minute, while
Ms. Beetle, who is used to eating Hot Cheetos and
watching TV, averages 2.5 feet per minute. While at
Senn's Elm Tree-house, the three decide to experiment
with linear equations. The objective is to end up at the
Rose Bush at the same time. Senn still averages 5 feet per
minute. How much of a head start does he need to give
each of his friends in order for their function rules to
intersect at 92 feet (the rose bush). What is the equation
for each bug which makes their experiment successful?
Create a table and graph representing the situation.
Answers
Answer: Please find the attached file for the graph and find the answer in the explanation
Step-by-step explanation:
Let first calculate the normal time each of them will reach the 92 feet distance.
For senn
Time = 92/5 = 18.4 minutes
That means in 18.4 minutes the two other friends must reach the point at 92 feet.
Calculate the distance at the time for each of the friends.
For Ms Lady
Time = 92/4 = 23 minutes
Distance = speed × time
Distance = 4 × 18.4 = 73.9
92 - 73.6 = 18.4 feet
For Ms Beetle
Time = 92/2.5 = 36.8 minutes
Distance = 2.5 × 18.4
Distance = 46 feet
92 - 46 = 48 feet
Therefore, Senn must give a head start of 18.4 feet for Ms Lady
And 48 feet for Ms Beetle in order for their function rules to intersect at 92 feet (the rose bush).
Their equation will be
Ms Lady
Y = 4x + 18.4
Ms Beetle
Y = 2.5x + 48
Ms Senn
Y = 5x
Answer:
Chips are good!
Step-by-step explanation:
6. Ashley has 1 2/3 yards of fabric. She uses 1 1/2 yards of fabric to make a dress. After Ashley makes her dress, how much fabric does she have left?
Answers
Steps: You subtract 1 2/3 by 1 1/2 and get 1/6.
Solve for the valid solution set: x−3≥2 or x+5≥7
Answers
Answer: X ≥ 5 or X ≥ 2
Step-by-step explanation:
Add 3 to both sides for the first equation
x ≥ 5
and subtract 5 from both sides for the second one
x ≥ 2
The perimeter of the rectangle below is 224 units. Find the length of side PQ.
Write your answer without variables.
Answers
add them and you get 12z+8=224
Now take away 8 from both sides to make it 216 and divide both sides by 12 and you get 18. Now just plug in the variable so 4x18+3 which is 75. And if it is a rectangle then it will be the same on both ends.
PQ=75
rx - sx + y = b solve for y
Answers
Answer:
y = b-rx+sx
Step-by-step explanation:
rx - sx + y = b
Subtract rx from each side
rx-rx - sx + y = b-rx
-sx +y = b-rx
Add sx to each side
sx - sx + y = b-rx+sx
y = b-rx+sx
Find two consecutive whole numbers that √56 lies between (PLEASE HELP NEED ASAP!!!)
Answers
Answer:
8 and 7
Step-by-step explanation:
because the square root of something is something used in math
Round 3,760 to the nearest hundred.
Answers
Answer:
3,800
Step-by-step explanation:
Rounding something means going up or down basically. To the nearest hundred means rounding up or down until the number is exactly 100, 200, 300, etc.. If it's 50 or higher it'll always be rounded up. so 760 is rounded to 800 as "60" is higher than "50."
Hope this helps and have a nice day!
Answer:
3,800
I hope this helps!
How do you know that 8 thousandths is less than 1 hundredth
Answers
need answer asap pleasee
Answers
Find the decimal that is equivalent to: 4/11
Answers
Answer:
0.3636 repeating
Step-by-step explanation:
When you divide them, it is 0.36363636 going on forever.
True or false: Supporting evidence refers to examples that can be used to help visualize why a statement is true. (1 point) This statement is false. Supporting evidence refers to examples that can be used to help visualize why a statement is false. This statement is true. This statement is false. Supporting evidence refers to examples that prove a statement is true. This statement is false. Supporting evidence refers to examples that prove a statement is false.
Answers
Answer:
The answer is: This statement is true :)
Step-by-step explanation:
Find the length of each line segment or object
Answers
Answer:
1 ⁷/₈ in
Step-by-step explanation:
that is exactly 1 ⁷/₈ in
if f(x)=2x-1 what does f(10) equal
Answers
Answer:
19
Step-by-step explanation:
Step 1:
x = 10
Step 2:
2 ( 10 ) - 1
Step 3:
20 - 1
Answer:
19
Hope This Helps :)
A 150 foot fence encloses a garden. What is the length of each side of the garden?