Hi! I need help with transversals of parallel lines solve the x if someone can help it would be great! Thank you!
Answers
25x = 30x - 15
Now simplify to solve for x.
25x-30x= -15
-5x = -15
Divide both sides by the coefficient of x (-5). The negative signs cancel, giving x= 3
Now to find the measure of angle KNH, simply substitute the value of x:
30(3)-15
90-15
= 75 degrees
Step-1: Find a property that shows the relation between the two angles
Given Information:
Line IJ and Line KL are parallel lines.∠KNH = 30x - 15∠GMJ = 25xIf Line IJ and Line KL are parallel lines (cannot intersect), both angles are outside the parallel lines, but each angle is on the opposite side of the transversal, the angles verify a property called the external angle property. The external angle property is called "external" because both angles are outside the transversal (a line that intersects the parallel line).
Step-2: Write an equation that describes the two angles
Since ∠KNH and ∠GMJ support the external angle property, we can assume that the two angles are equivalent. Therefore, we can write the following equation that can describe the relation between the angles:
⇒ ∠KNH = ∠GMJ ⇒ 30x - 15 = 25x
Step-3: Solve for x (common variable between two angles)
To find the measure of ∠KNH, we must find the value of x. This can be done by solving for the x-variable in the equation created from above knowledge. Simplify isolate all the variables on one side of the equation, simplify if needed, and isolate the coefficient if needed. We can isolate the variables on one side by adding or subtracting both sides of the equation. Then, we can cancel out the coefficient (a number being multiplied by the variable). from the variable by multiplying/dividing both sides of the equation.
⇒ 30x - 15 = 25x⇒ 30x - 15 - 30x = 25x - 30x (Isolating the variables on one side)⇒ -15 = 25x - 30x = -5x⇒ -15 = -5x ⇒ x = -15/-5 = 3Step-4: Substitute the value of x and determine the measure of ∠KNH
Now, we can substitute the value of x into the angle measure. We have the following angle measure of ∠KNH ⇒ (30x - 15)°. So, we have:
⇒ 30x - 15 = 30(3) - 15 = 75°Therefore, the measure of ∠KNH is 75°.
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Related Questions
Suppose you plan to spend no more than $24 on meat for a cookout. Hamburger costs $3.00/Ib and chicken wings cost $2.40/Ib. Write and graph an equation to find three possible combinations of hamburger and chicken wings you can buy.
Answers
Explanation: we have 3/lb in hamburgers and 2.4.lb in chicken wings the total would come out to 24. Plugging it into I believe ax+by=c it looks like.
Options:
A) 8 hamburgers
B)10 chicken wings
C)5 chicken wings and 4 burgers
Find the area of a circle with a radius of 7m. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.
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Answer:153.93804
Step-by-step explanation: Multiply radius by itself then multiply by pi
How much interest is earned on $2,078.24 at 0.6% for eight years?
Answers
Help please? Am literally crying rn pls help it’s due tmrw :(
Answers
$70.88
$103.69
$419.78
$1312.50
$13125.00
Answer:
$67.50- $3.38- $70.88
$98.75-$4.94-$103.69
$399.79-$19.99-$419.78
$1,250.00-$62.50-$1,312.50
$12,500.00-$625.00-$13,125.00
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Answer:
B I THINK
Step-by-step explanation:
The photography club is selling hot chocolate at soccer games to raise money for new cameras. The table shows their profit per game for the first five games.
Game Profit ($)
1 −12.50
2 −10.15
3 18.65
4 25.90
5 45.75
Based on the average profit per game, how much total money can the club expect to earn by the end of the 10-game season?
__ dollar(s)
Answers
Answer:
First, we need to take the average of the numbers. So, we will add 12.50, 10.15, 18.65, 25.90, and 45.75, getting us 112.95. Then we need to divide this by 5 to get the average profit for each game, getting us the number 22.59. Then we add up the money already earned with 22.59*5 (getting us 112.95 + 112.95), which gives us the number $225.9.
Hope this helps!
The total profit by the end of the 10-game season is $225.9.
How to calculate the average?In order to calculate average, divide the total sum of the data to the total number of data. An average is a standard number for a given data whose value can both be more or less than it.
The given problem can be solved as follows,
The average profit for the five games can be calculated by summing the profits all the five games and then dividing it by 5 as below,
(12.50 + 10.15 + 18.65 + 25.90 + 45.75)/5 = 112.95/5 = 22.59
Now, the profit for 10 games is the average profit multiplied by 10.
22.59 × 10 = 225.9
Hence, the total money the club can expect to earn by the end of the 10-game season is $225.9.
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If a loan is taken out for $40.54 at 0.9% and costs $1.09, how long was the loan for?
Answers
Answer:
2 YEAR AND 9 MONTHS
Step-by-step explanation:
solution,
given,
principle [p]=40.54
rate [r]=0.9
interest=1.09
time[t]=?
now,
t=I*100/P*R
109/40.54*0.9
109/36.48
=2.9
Each letter in this addition problem stands for a different digit, but, for example, all of the
H's stand for the same digit. Reconstruct the problem to find the value of THERE.
HALT
+HALT
———-
THERE
Answers
Answer:
9641 + 9641 = 19282
Step-by-step explanation:
You want to assign a different digit to each of the letters H, A, L, T, E, R such that ...
HALT + HALT = THERE
SolutionThe T in the most significant digit of the sum must be T = 1, because a carry from the sum of two digits cannot exceed 1. That means E = 2. In order for H+H = TH, we must have ...
H + H + 1 = 10 + H
H = 9
In order for there to be a carry into the 4th column (from the right), the value of A must be 5 more than the value of T:
A = 6
Since E in the third sum digit is even, there can be no carry from the sum L +L = R. This leaves R an even digit not 0, 2, or 6. It cannot be 4, because that would require L=2, but we already have E=2. This leaves R = 8 and L = 4.
The sum is ...
HALT +HALT = THERE ⇒ 9641 +9641 = 19282
The value of THERE is 19282.
help pls its due today thank you
Answers
I need help getting the slope of the graphs. I just need that because I can do the ones in text and then order the answers from least to greatest, but I don't know how to do the graphs
Answers
Answer:Find the Slope from a Graph
Identify rise and run from a graph
Distinguish between graphs of lines with negative and positive slopes.
Step-by-step explanation:Find the slope of the lines
x
=
a
and
y
=
b
Recognize that horizontal lines have slope = 0
Recognize that vertical lines have slopes that are undefined
I need some one who is rlly good at math ;-;
Answers
5(2/5) / (5/8)
(10/5) / (5/8)
2 / (5/8)
When dividing fractions, we use keep change flip. Keep 2, change to multiplication, and flip 5/8. This then becomes:
2 * (8/5)
Multiply 8 by 2
16/5
3 1/5 mixed number
The table below shows the number of students who attend various after-school activities.
After-School Activities
Activity
Number of Students
Spanish Club
19
Basketball
24
Drama Club
15
Homework Help
17
Soccer
20
Which does the ratio 17:44 represent?
the part-to-part relationship between homework help and sports
the part-to-whole relationship between homework help and sports
the part-to-part relationship between homework help and all activities
the part-to-whole relationship between homework help and all activities
Answers
Answer:
B) the part-to-whole relationship between homework help and sports
Step-by-step explanation:
sports as a whole: 24+20 = 44
homework help; 17
ratio: 17:44
The total bill at a restaurant was $57.00 and included a $12 tip for the server. What was the average spent per person prior to the tip if there were 3 people at the dinner?
-$19.00
-$15.00
-$11.00
-$23.00
Please help its due today by 12:00am NA Kansas Time Date: Nov 8 2022
Answers
Answer: -$15.00
Step-by-step explanation:
57-12=45
45/3=15
YOUR WELCOME
57-12=45
45/3=15
Question on photo
A. 16
B. 29
C. 27
D. 21
Answers
Jin’s mother estimates there is a half gallon of fruit punch remaining in the container. There is actually 72 ounces of fruit punch in the container. What is the percent error of Jin’s mother’s estimate, rounded to the nearest tenth?
PLS I NEED HELP ITS DUE IN 10 MINUTES!!!!!!
Answers
Answer: 0.7 I think
Step-by-step explanation:
The percent of error of Jin's mother's estimate is 4,9% (4,9 percent)
The Percent of error of Jin's mother's estimate can be calculated as follows ?
The first step is to convert a half gallon to ounces
1 gallon = 153,722 ounces
= [tex]\frac{1}{2}[/tex] × 153,722
= 76,861 ounces
The next step is calculate the error between Jin's mother's estimate (76,861 ounces) and the actual amount of fruit punch in the container (72 ounces)
The error = 76,861 - 72
= 4,861
Third step is to round the calculated the percent error to the nearest tenth.
4,861 ÷ 100 = 4,861%
The final step is to round it to the nearest tenth by round the second digit behind the coma which has value more than 5 to the higher number of the first digit behind the coma.
4,861% = 4,9%
Hence, the percent error of Jin's mother's estimate is 4,9% (4,9 percent)
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Can you please help me?
Answers
Answer: 18
Step-by-step explanation:
x is the number we need to find
We have this equation :
2 ( 3x - 10 ) + 2 = 5x
= 6x - 20 + 2 = 5x
= -20 + 2 = 5x - 6x
= -18 = -1x
x = -18 ; 18
Hope it helps !
Answer: the original number is 18
Step-by-step explanation:
If 11 is increased to 15, the increase is what percent of the original number? (This is known as the percent change.)
Hint: Write your resulting percent in decimal form with three decimal places of accuracy. Example: Write 2% as 0.02. Write 5.66% as 0.057.
Submit QuestionQuestion 2
Answers
students were asked to name their favourite sport. seven students chose soccer , nine chose basketball , four chose baseball , and five chose tennis. write the ratio in simplest form that compares the number of students who chose tennis to the total number of students
Answers
Answer:
Step-by-step explanation:
−12x+13>35
PLEASE HELP MEE, ILL GIVE 10 POINTS FOR IT
Answers
Answer:
(x, y) = (-3, -6)
Step-by-step explanation:
You want the solution to the system of equations 6 = -4x +y, -5x -y = -21 using the substitution method.
Expression for yAdding 4x to the first equation gives an expression for y:
6 +4x = y
SubstitutionThis can be substituted into the second equation:
-5x -(6 +4x) = 21
-9x -6 = 21 . . . . . simplify
-9x = 27 . . . . . . . add 6
x = -3 . . . . . . . . . divide by -9
6 +4(-3) = y . . . . . . . find y using the expression for y
6 -12 = -6 = y
The solution is (x, y) = (-3, -6).
the sales for crunchtastic candy bars rose from $4,000,000 to 4,900,000 find the percent of increase in sales
Answers
Answer:
22.5% increase
Step-by-step explanation:
($4,900,000 / $4,000,000) x 100 = 122.5%
122.5% - 100 = 22.5% increase
How much interest does a $7,149.38 investment earn at 5% over three years?
Answers
Answer:
Step-by-step explanation:
5% x $1,000 x 4 = $200 so its 200
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Joseph had 7 1/4ounces of candy to share with his friends. He gave them
2 4/5 ounces of candy when they came over to play video games. How many ounces of candy does Joseph have left?
Please try to give me a step by step explanation! ^_^
Answers
Answer:
4 9/20
Step-by-step explanation:
We are subtracting since he gave them candy
Let's get the whole numbers out of the way
7 - 2 = 5
Now we subtract the fractions
1 / 4 - 4 / 5. We need to find the LCD (Lowest common denominator) of the fractions which is 20 because 4 x 5 = 20 and 5 x 4 = 20
Rewriting the denominators and numerators:
Since we multiply 4 by 5 to get 20 we'll have to do the same to the numerator (1)
1 x 5 = 5
Now we do the same to 4/5. 5 x 4 = 20 and 4 x 4 = 16.
New fractions
5/20 - 16/20 switch it 16 / 20 - 5 / 20 = 11/20 and we get the answer from subtracting the whole numbers by 11/20 (the answer we got from subtracting fractions) 5 - 11/20 = 4 9/20
Distribute the exponent (2a/p^2*q^3)^4
Answers
Answer: 16a^4/p^8 * q^12
Step-by-step explanation:
(2a/p^2*q^3)^4=
(2a/p^2)^4 * (q^3)^4=
(2a)^4 / (p^2)^4 * (q^3)^4=
2^4 * a^4 / (p^(2*4)) * (q^(3*4))=
16 * a^4 / p^8 * q ^ 12 =16a^4/p^8 * q^12
Question on photo, Ty!!
Answers
Answer:
It is the 2nd one and the 4th one
Answer:
put 2 and 4 its soooo easyy
You invested $45.12 and received $45.75 after two years. What was the interest rate?
Answers
Step-by-step explanation:
check for the Financial present formula
Answer:
Step-by-step explanation:
5% x $1,000 x 4 = $200 so its 200
Latrell and his cousin, Tisha, met at a state park to go for an all-day hike. Latrell drove 122 miles to get to the park, and it took him 2 hours. Tisha drove 96 miles to get to the park, and it took her 1.5 hours. On average, how much faster did Tisha drive than Latrell?
Write your answer as a decimal or a whole number.
Answers
Answer:
122/2=61mph
96/1.5=64mph
3 mph more
Answer:
3 Miles
Step-by-step explanation:
What is 1 + 1 x 2 - (2+3) / 2 x 8. Someone please answer.
Answers
Answer: I believe... -17.
Follow the order of operation. PEMDAS....
1+1 x 2 - (2+3) / 2 x 8.
First add up the 2 and the 3 because they're in parenthesis.
1+1 x 2 - (5) / 2 x 8
The multiply the numbers...
1+2 - 5/2 x 8
Multiply the 5/2 and 8 together.
1+2 -20
Add up the 1 and the 2
3-20
Subtract,
-17
So the answer is -17
Step by step
I follow PEMDAS rules of math
1 + 1 x 2 - (2+3) / 2 x 8
Distribute to eliminate parentheses first
1 + 1x2 -2-3 /2 x8
combine from distribution
1 + 1 x 2 -5/2 x 8
Multiply left to right
1 + 2 -20
Combine
-17
The population of bears on a nature preserve was 95 last year. This year, the population increased by 20%. What is the new bear population on the preserve?
Answers
Answer:
114 bears
Step-by-step explanation:
20% = 0.20 = 0.2
95 × 0.2 = 19
Why: To find 20% of 95
19 + 95 = 114
Why: Add 20% of 95 to 95 to find the new population of the bears.
You put $2,225.50 into an investment at 1.3% for eight years. What will the balance be at the end of eight years?
Answers
Answer:
2467.76
Step-by-step explanation:
The total compound interest is 242.26
Is it a deal? Solve the question.
Answers
Answer:
Step-by-step explanation:
Use Microsoft Bing
Same: $11.79 for 9
Better: $9 for 9
