The measures in this problem are given as follows:
1. x = 14.
2. m < 1 = 58º.
3. m < 2 = 122º.
How to obtain the measures?Angles 1 and 2 are supplementary, as the angle 1 and the consecutive interior angle with angle 2 are corresponding angles, meaning that they are congruent, and then the angles are supplementary with their consecutive interior angles.
When two angles are supplementary, the sum of their measures is of 180º, hence the measure of x is obtained as follows:
m < 1 + m < 2 = 180
2x + 30 + 8x + 10 = 180
10x + 40 = 180
10x = 140
x = 140/10
x = 14.
Then the angle measures are obtained as follows:
m < 1 = 2(14) + 30 = 58º.m < 2 = 8(14) + 10 = 122º.More can be learned about parallel and transversal lines at https://brainly.com/question/24607467
#SPJ1
Your checking account is in debt at $20. You use this account to make a $10 purchase. Then, you deposit $38 into the account. What is the balance of the checking account?
Answer:
$8
Step-by-step explanation:
In debt at $20 (like an overdraft) = -20
To make a $10 purchase = -10 on the account
Total debt = -20 + (-10)
= -30
You deposit $38 (this is what you added to your account.) = +38
Balance of the checking = -30 + (+38)
= $8
I really hope this helps. If I am right, please thank, rate 5 stars, and give brainliest. Thank you.
*WILL GIVE BRAINLIEST FOR BEST ANSWER IF YOU DONT KNOW IT DONT ANSWER IT OR I WILL REPORT YOU FOR SAYING I THINK ITS THIS OR SAYING SOMETHING THAT IS OFF TOPIC*
Solve for r.
–2 − 9r = 8 − 10r
r =
Answer:
-6
Step-by-step explanation:
STEP 1= bring all the unknown factors together and the known factors toghether
-2+8=9r-10r
STEP2= SOLVE IT
+6=-1R
thus r= -6
does anyone have the keys for edmentum guided notes!!! please help
It is important to note that sharing or requesting specific keys or answers to educational materials, including guided notes, would be considered unethical and potentially a violation of academic integrity.
Guided notes are intended to assist students in actively engaging with course material and enhancing their learning experience. It is recommended that you approach your teacher or instructor for any clarification or additional resources you may need to fully understand the content.
They are in the best position to provide you with the necessary guidance and support.
Instead of seeking shortcuts or unauthorized access to answers, it is more beneficial to invest time and effort in studying, asking questions, and actively participating in your educational journey.
This approach will not only help you grasp the subject matter more effectively but also promote personal growth and knowledge development.
For more such questions materials,click on
https://brainly.com/question/19626626
#SPJ8
77 is d fewer than 16. write the sentence as an equation
Answer:77d-16
Step-by-step explanation:
WILL GIVE 5 STARS
Angela plays soccer and golf for a total of 125 minutes every day. She plays soccer 45 minutes more than she plays golf.
Part A: Write a pair of linear equations to show the relationship between the number of minutes Angela plays soccer (x) and the number of minutes she plays golf (y) every day. (5 points)
Part B: How much time does Angela spend playing golf every day? (3 points)
Part C: Is it possible for Angela to have spent 80 minutes playing soccer every day? Explain your reasoning.
A: The linear equations are x + y = 125 and x = y + 45.
B: Everyday Angela spends 40 minutes in playing golf.
C: No, it is not possible for Angela to spend 80 minutes playing soccer every day.
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
Part A:
Let x be the number of minutes Angela plays soccer every day
Let y be the number of minutes Angela plays golf every day
According to the problem statement the linear equations are -
x + y = 125 (total time playing both sports is 125 minutes)
x = y + 45 (Angela plays 45 more minutes of soccer than golf)
Part B:
Substitute x = y + 45 into the first equation -
(y + 45) + y = 125
Use the addition operation -
2y + 45 = 125
2y = 80
y = 40
Angela spends 40 minutes playing golf every day.
Part C:
If Angela spends 80 minutes playing soccer every day, then
x = 80
y + 45 = 80 (using the equation x = y + 45)
y = 35
But this would mean that she plays golf for 35 minutes and soccer for 80 minutes, which adds up to a total of 115 minutes.
This is not possible since the problem states that Angela plays both sports for a total of 125 minutes every day.
Therefore, it is not possible for Angela to have spent 80 minutes playing soccer every day.
To learn more about linear equation from the given link
https://brainly.com/question/2226590
#SPJ1
Jack and Diane are jogging back and forth along a one-mile path. They started out at 9:00 A.M. from opposite ends of the path. They passed each other in 10 minutes when Diane has gone 1/3 mile. What time will they first meet at one end of the path? You have to assume they keep jogging at the same speeds.
Explain :
Answer:
30 minutes
Step-by-step explanation:
that problem description is imprecise.
I think what is meant here : they each keep jogging at their own same speed.
Diane's speed is 1/3 miles / 10 min.
Jack's speed is 2/3 miles / 10 min.
now, to bring this to regular miles/hour format, we need to find the factor between 10 minutes and an hour (60 minutes) and multiply numerator and denominator (top and bottom of the ratio) by it.
60/10 = 6.
so, we need to multiply both speeds up there by 6/6 to get the miles/hour speeds.
Diane : (1/3 × 6) / hour = 2 miles / hour
Jack : (2/3 × 6) / hour = 4 miles / hour
since Jack is running twice as fast as Diane, she will finish one length in the same time he finishes a round trip (back and forth).
Diane running 1 mile going 2 miles/hour takes her 30 minutes.
Jack running 2 miles (back and forth) going 4 miles/hour will take him also 30 minutes.
so, they will meet at his starting point after 30 minutes.
for the polyhedron, find the missing numberneed a whole number of faces
The Euler's polyhedron formula states that, for a polyhedron with F faces, E edges and V vertices, we have:
F + V - E = 2
For E = 12 and V = 6, then we have:
F + 6 - 12 = 2
F = 2 + 12 - 6
F = 8
Will make brainiest and you only have to at least answer one question pls
change 290 grams to pounds
change 87 grams to ounces
change 1,038 mph to feet per second
change 65 miles per hour to kilometers per hour
Answer:
change 290 grams to pounds= 0.639 pounds
change 87 grams to ounces= 3.069 ounces
change 1,038 mph to feet per second= 1522.4 feet per second
change 65 miles per hour to kilometers per hour
= 104.607 kilometers per hour
Hope this helps.
Which pair shows equivalent expressions?
Help quick please!
Answer:
i think A
Step-by-step explanation:
What does the x represent on a motion map?
reference point
total displacement
speed
velocity
Answer:a
Step-by-step explanation:
The value x represents a reference point on a motion map.
Option (A) is correct.
What is a statement?A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.
Given:
A point used to find or describe the location of something. Reference point that is moving is when you look out the window of a car and notice that you are moving faster than the car next to you.
The relationship between motion and reference point is that an object is in motion when its position with respect to a reference point varies over time. This indicates that they have a similar relationship.
Therefore, the value x represents a reference point on a motion map.
Learn more details about statement here:
https://brainly.com/question/2285414
#SPJ1
question in picture thank you
The correct equation is: 5/6 - 1/6 = 4/6
What you mean by term Number line ?A number line is a visual representation of numbers, ordered from left to right, where each point on the line corresponds to a number. The number line can be used to represent a wide range of numbers, including integers, fractions, decimals, and even negative numbers.
On a basic number line, 0 is located in the center, with positive numbers to the right and negative numbers to the left. The numbers are usually evenly spaced, with tick marks or dots indicating each value. The distance between any two points on the number line represents the difference between the corresponding numbers.
According to question Option D is correct
This is because starting at 5/6 and ending at 1/6 involves moving in the negative direction on the number line. To find the distance between these two points, we need to subtract the smaller number (1/6) from the larger number (5/6).
So, 5/6 - 1/6 = 4/6, which simplifies to 2/3. This means that the distance between 5/6 and 1/6 on the number line is 2/3.
Learn more about decimals here
https://brainly.com/question/30958821
#SPJ1
Three towns are linked by three straight roads. Loretta Adman has created a three-sided billboard that she wants to position as close as possible to all three roads. To do this, she needs to find the ____ of the triangle formed by the three roads.
Answer Choices:
Center
Incenter
Circumcenter
Answer:
c
Step-by-step explanation:
Loretta Adman needs to find the center of the triangle formed by the three roads.
What is Center, Incenter and Circumcenter of the triangle?
Incenter I, whose point is equidistant from the triangle's sides, and circumcenter O, whose point is equidistant from each of the triangle's vertices. A triangle center is a point in the plane that resembles the centers of squares and circles in some ways, meaning that it is roughly in the centers of the figure.
Given: Three towns are linked by three straight roads.
Loretta Adman has created a three-sided billboard that she wants to position as close as possible to all three roads.
The center is in the middle of the figure by some measure.
Therefore, Loretta Adman needs to find the center of the triangle formed by the three roads.
To know more about the Center, incenter and circumcenter, click on the link
https://brainly.com/question/14523344
#SPJ2
What is 2.5 × 15.625
Answer:
39.0625
Step-by-step explanation:
Answer:
39.0625
Step-by-step explanation:
What is -2(x + 3) simplified using distributive property?
Please help me!!
Answer:
-2x-6
Step-by-step explanation:
-2(x+3)= -2x -6
use distributive propriety of multiplication over addition
The distributive property is a property used for multiplying a monomial by a binomial or trinomial by "distributing" it. The property has a formula, which is:
\(\sf{a(b+c)=ab+ac}\)
So a got multiplied by b and c.
Similarly:
\(\sf{-2(x+3)=-2\cdot x - 2 \cdot3}\)
Simplify:
\(\sf{-2x-6}\)
Hence, the simplified answer is -2x - 6.
What is the length of the longer leg of the right triangle shown below?
Type your answer as an integer.
A right triangle has hypotenuse of length 13 and a side with length 5.
\(\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=\stackrel{hypotenuse}{13}\\ a=\stackrel{adjacent}{5}\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{13^2-5^2}=b\implies \sqrt{144}=b\implies 12=b\)
2. A line passes through points (-1,-2) and (1,4). What is the equation of the line? TI
Can someone help me solve this
Answer:
\(y = {(x + 8)}^{3} - 9\)
4.4 ×10 with the power of 3=
After answering the presented question, we can conclude that The answer for the following expression will be as follows \(4.4 X 10^3 = 4400\)
what is expression ?In mathematics, you can double, divide, add, or subtract something. The following is an expression: Expression, numerical value, and math operator A mathematical expression is made up of numbers, parameters, and functions. Opposing sentences and expressions are possible. An expression, often known as an algebraic expression, is any mathematical statement that contains variables, numbers, and a mathematical action between them. For example, the phrase 4m + 5 is made up of the phrases 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical sign +.
The answer for the following expression will be as follows
\(4.4 X 10^3 = 4400\)
To know more about expressions visit :-
https://brainly.com/question/14083225
#SPJ1
Solve the equation for t. 2(t – 6.7) ≥ 1.4
Answer:
t ≥ 7.4.
Step-by-step explanation:
To solve the equation 2(t - 6.7) ≥ 1.4 for t, we can follow these steps:
2t - 2(6.7) ≥ 1.4
2t - 13.4 ≥ 1.4
2t - 13.4 + 13.4 ≥ 1.4 + 13.4
2t ≥ 14.8
(2t)/2 ≥ 14.8/2
t ≥ 7.4
Complete the table.
Original Price Percent of Discount Sale Price
$120 80% $
The complete table is shown in the picture attached. The sale price of the product is $24.
How to calculate the sale price?The sale price is the original price minus the discount. It can be expressed as
S = P - D
Where
S = sale priceP = original priceD = discountThe discount when an item is on sale can be calculated by
D = d × P
Where d = percent of discount.
Complete the table shown in the picture!
We have
Original price, P = $120.Percent of discount, d = 80%.To complete the table, we should find the sale price.
From the information, the discount is
D = d × P
D = 80% × $120
D = $96
The sale price will be
S = P - D
S = $120 - $96
S = $24
The product has a sale price of $24.
The second picture attached shows the complete table.
Learn more about percentage here:
brainly.com/question/29832925
#SPJ1
Translate each Equation. DO NOT SOLVE.
18. Five less than the product of a number and -8 is 77
Answer:
-8x-5=77
Step-by-step explanation:
five less than -5
product of a number and -8. -8x
3. Omar chooses a marble at random from the bag shown below. Without putting
the first marble back, he chooses another marble.
What is the probability that Omar chooses two blue
marbles? Express your answer as a fraction in lowest terms.
Answer:
Theres no bag we cant solve it without you showing a picture or describing it
Step-by-step explanation:
HELP PLZ, IT IS DUE IN 10 MIN!
Answer:
11.25 = 3% of 375
11.25= 20% of 56.25
A farmer picked 725 pounds of apples one week. He
picked 693 pounds of pears in the same week. Which
calculation can be used to find out how many more
pounds of apples than pears he picked?
A
725 +693
B 725-693
C 725-693
D 725x693
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
:)
Henry's savings account has an APR of 3.65%, calculates interest daily, and
pays interest at the end of the month. If during the month of November, his
balance was $300 for the first 10 days of the month, $1200 for the next 10
days of the month, and $800 for the last 10 days of the month, how much
total interest did Henry earn in November?
Given AC and BD bisect each other at O prove AC is congruent to c
The Value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC Therefore, AC is Congruent to c .
Since AC and BD bisect each other at O, we can say that AO = OC and BO = OD.
We need to prove that AC = CD.To do this, we can use the segment addition postulate which states that if a line segment is divided into two parts, the length of the whole segment is equal to the sum of the lengths of the two parts.
Let us draw a diagram to represent the given information:From the diagram, we can see that:AO + OB = AB (By segment addition postulate)OC + OD = CD (By segment addition postulate)AO = OC (Given)BO = OD (Given)
Now, we can substitute the values of AO and OC as well as BO and OD into the equations above:AO + OB = AB ⇒ OC + OB = AB (Substituting AO = OC)OC + OD = CDNow, we can add both equations:OC + OB + OC + OD = AB + CD ⇒ 2(OC + OD) = AB + CDWe know that OC = AO and OD = BO.
Therefore, we can write:2(AO + BO) = AB + CDSince AO = OC and BO = OD, we can write:2(OA + OD) = AB + CDNow, substituting AO = OC and BO = OD, we can write:2AC = AB + CD
Finally, we can substitute the value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC
Therefore, AC is congruent to c .
For more questions on Congruent.
https://brainly.com/question/1675117
#SPJ8
Calcular los 3/5 de los 2/3 de las 3/4 de 560
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
Find out more on fractions here: https://brainly.com/question/78672
#SPJ1
When the same constant is added to the numbers 60, 100 and 180 a three-term geometric sequence arises. What is the common ratio of the resulting sequence?
The common ratio of the resulting sequence is 1.4.
Given that, the three terms are 60, 100 and 180.
What is a geometric sequence?A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.
Let the same constant is added to the given number is x.
60+x, 100+x and 180+x
Now, the common ratio is
(100+x)/(60+x) = (180+x)/(100+x)
⇒ (100+x)(100+x)=(180+x)(60+x)
⇒ (100+x)²=10800+180x+60x+x²
⇒ 10000+200x+x²=10800+180x+60x+x²
⇒ 10000+200x=10800+180x
⇒ 20x=800
⇒ x=40
The three number are 100, 140 and 220
The common ratio is 140/100 =1.4
Therefore, the common ratio of the resulting sequence is 1.4.
To learn more about the geometric sequence visit:
https://brainly.com/question/11266123.
#SPJ1
need help pls on circle geometry
Answer:
25
Step-by-step explanation:
AB is a tangent to the circle hence the angle ABO is a right angle !!! With that knowledge we can construct a right-angled triangle with sides AB ,BO and OA .
Applying the Pythagorean theorem we get that OA is the hypotenuse and thus
\(oa = \sqrt{ab {}^{2} + ob {}^{2} } \)
The dimensions of a cylinder are shown in the diagram
Round to the nearest whole number , what is the total surface area of the cylinder in cubic centimeters
Answer:
S = 2π(3^2) + 2π(3)(8.2) = 67.2π = 211 cm^3