Answers
Answers:
u = 18
v = 20
========================================================
Work Shown:
The leg YZ is congruent to the left FH
This means YZ = FH and that leads to u+v-18 = 10u-8v
The hypotenuse ZX is congruent to the hypotenuse HG
This means ZX = HG and we get the equation 14v-14u+32 = v+u+22
----------------------
The system of equations we have so far is
u+v-18 = 10u-8v
14v-14u+32 = v+u+22
Let's get the equations into standard form
Start with the first equation
u+v-18 = 10u-8v
u+v = 10u-8v+18
u+v-10u+8v = 18
-9u+9v = 18
-9(u-v) = 18
u-v = 18/(-9)
u-v = -2
Note how we can solve for the variable u to get
u = v-2
which we'll use later
----------------------
Let's get the other equation into standard form as well
14v-14u+32 = v+u+22
14v-14u-v-u = 22-32
-15u+13v = -10
Now plug in u = v-2 and solve for v
-15u+13v = -10
-15(v-2) + 13v = -10
-15v+30+13v = -10
-2v+30 = -10
-2v = -10-30
-2v = -40
v = -40/(-2)
v = 20
Which means,
u = v-2
u = 20-2
u = 18
Related Questions
You have a bag with 6 green marbles, 15 blue marbles, 8 red marbles, 1 yellow
marble. What is the probability (as a decimal rounded to three places) of pulling
out a red marble?
Answers
Answer:
0.267 or 26.7%
Step-by-step explanation:
The probability of an event happening is calculated by dividing the favorable outcomes by all outcomes:
The sum of all events (marbles) is 6 + 15 + 8 + 1 = 30
The number of favorable events is 8
Therefore, the probability is 8/30 ≈ 0.267 or 26.7%
Question : If lines BG and CF are parallel, then OLF = OMG. Is this statement correct? Explain your answer.
Answers
Answer:
Yes this statement is correct.
Step-by-step explanation:
just mental math
The statement given that ∠OLF = ∠OMG is found to be; Correct from theorem of corresponding angles.
We are told that;
BC is parallel to CF
Now, we are told that;
∠OLF = ∠OMG
We can see that line DH is a transverse line that crosses the two parallel lines given as BG and CF
Now, according to theorem of corresponding angles, the angle's that are formed when two parallel lines are crossed by a transverse line are said to be equal because they correspond to one another.
In conclusion, it is true from corresponding angles that ∠OLF and ∠OMG are equal.
Read more about corresponding angles at; https://brainly.com/question/12054594
Zoe invested $16,000 in an account paying an interest rate of 3.6% compounded
quarterly. Assuming no deposits or withdrawals are made, how much money, to the
nearest hundred dollars, would be in the account after 20 years?
Answers
Answer:
Its 32800
Step-by-step explanation:
solve for x. please please help me asap!!!! thank you!!! *will give brainliest of course*
Answers
Answer:
( A ) 1.365
Nice to see you again :)
What is 0.617 in fraction form
Answers
Answer:
617/1000
Step-by-step explanation:
61.7% as a percent in case u need it :)
A new store sells used CDs. The store had a loss of $277 during the first week. During the second week, the store made a profit of $375. How much money did the store make overall in the first two weeks?
50points
Answers
Answer:
$98
Step-by-step explanation:
Got it right on Edge2020
Answer:
yeah first dude is right its 98
Step-by-step explanation:
:)
Naomi can make 20 tacos in 10 minutes. How many tacos can she make in 1 minute?
Answers
Answer:
2 tacos
Step-by-step explanation:
10 × 2 = 20
1 × 2 = 2
What is the largest possible integral value in the domain of the real-valued function
f(x)=[tex]\frac{1}{\sqrt{800-2x} }[/tex]
Answers
Answer:
Max Value: x = 400
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Calculus
AntiderivativesIntegral Property: [tex]\int {cf(x)} \, dx = c\int {f(x)} \, dx[/tex]Integration Method: U-Substitution[Integration] Reverse Power Rule: [tex]\int {x^n} \, dx = \frac{x^{n+1}}{n+1} + C[/tex]Step-by-step explanation:
Step 1: Define
[tex]f(x) = \frac{1}{\sqrt{800-2x} }[/tex]
Step 2: Identify Variables
Using U-Substitution, we set variables in order to integrate.
[tex]u = 800-2x\\du = -2dx[/tex]
Step 3: Integrate
Define: [tex]\int {f(x)} \, dx[/tex]Substitute: [tex]\int {\frac{1}{\sqrt{800-2x} } } \, dx[/tex][Integral] Int Property: [tex]-\frac{1}{2} \int {\frac{-2}{\sqrt{800-2x} } } \, dx[/tex][Integral] U-Sub: [tex]-\frac{1}{2} \int {\frac{1}{\sqrt{u} } } \, du[/tex][Integral] Rewrite: [tex]-\frac{1}{2} \int {u^{-\frac{1}{2} }} \, du[/tex][Integral - Evaluate] Reverse Power Rule: [tex]-\frac{1}{2}(2\sqrt{u}) + C[/tex]Simplify: [tex]-\sqrt{u} + C[/tex]Back-Substitute: [tex]-\sqrt{800-2x} + C[/tex]Factor: [tex]-\sqrt{-2(x - 400)} + C[/tex]Step 4: Identify Domain
We know from a real number line that we cannot have imaginary numbers. Therefore, we cannot have any negatives under the square root.
Our domain for our integrated function would then have to be (-∞, 400]. Anything past 400 would give us an imaginary number.
Lamar drinks 8 ounces of water with breakfast, 6 ounces of water with his vitamins, 16 ounces of water with his lunch, 16 ounces of water with his dinner, and 32 ounces of water from a bottle he carries throughout the day. Write and evaluate a numerical expression for the amount of water in ounces that he drinks in a week.
Answers
Given:
Lamar drinks water with,
Breakfast = 8 ounces
Vitamins = 6 ounces
Lunch = 16 ounces
Dinner = 16 ounces
Bottle = 32 ounces
To find:
The a numerical expression for the amount of water in ounces that he drinks in a week.
Solution:
One day consumption of water by Lamar is
[tex]8+6+16+16+32=78[/tex]
We know that,
1 week = 7 days
One day consumption of water = 78 ounces
1 week (7 days) consumption of water = 7× One day consumption of water
= 7×(8+6+16+16+32) ounces
= 7×78 ounces
= 546 ounces
Therefore, the required numerical expression for the amount of water in ounces that he drinks in a week is 7×(8+6+16+16+32) ounces and the value is 546 ounces.
will the inequality "7 multiplied by a number is greater than or equal to 21" have an open boundary point or a closed boundary point on the number line?
Answers
Answer:
Closed boundary point
Step-by-step explanation:
It says greater than OR equal too and having a closed boundary will indicate that 21 is apart of the inequality also.
I hope this helps
(Use Solving Systems by Graphing to find a solution for this question)
One cellphone provider charges $10 per month plus an activation fee of $20. A second cellphone provider charges $11 per month plus an activation fee of $15. For what number of months is the cost of either cellphone provider the same?
Answers
Answer:
Hope it can help you.......
If you understand my answer, You can mark me as a brainlist...........
Follow me.........
Given X = {15, 22, 33, 44, 89, 165, 1025} and Y = {-5, 15, 33, 88, 99, 150, 160, 1025}, which of the following statements is false?
Ø (X Y)
X Y = {-5, 15, 22, 33, 44, 89, 99, 150, 160, 165, 1025}
X ∩ Y = {15, 33, 1025}
WHAT EVEN IS THIS LOL
Answers
Answer:
the first one
Step-by-step explanation:
in the first one it says there are no common numbers between x and y which is false.
in the second one its the union of x and y which means that you must list all numbers in x and y without repetition
the third one states that 15,33,1025 are the only numbers that are common between x and y.
so as a breif the first one is wrong
Answer:
first choice
Step-by-step explanation:
Kąty α i β są kątami przyległymi. Kąt wyznaczony przez dwusieczne kątów α oraz β ma miarę A) 90∘ B) 4 5∘ C) 60∘ D) różną, w zależności od miar kątów α i β
Answers
Answer:
i have
Step-by-step explanation:
i dont even know good luck
A store starts the day with 36 packages of juice boxes.Each package contains the same number of juice boxes.By the end of the day,ther are only 8packages of juice boxes left.
Answers
Answer:
Number of package sold = 24 package
Step-by-step explanation:
Given:
Total number of package = 36
Remain package = 8
Computation:
Number of package sold = Total number of package - Remain package
Number of package sold = 36 - 8
Number of package sold = 24 package
Ben ran for president of his class. If there are 410 students and he received 70% of the vote, how many students voted for Ben?
Answers
Answer:
287
Step-by-step explanation:
70/100*410
(cross out the zeroes then multiply 7 by 41 and you'll get 287)
y=12x=25 help please
Answers
Answer:
Simplifying
y = 12x + 25
Reorder the terms:
y = 25 + 12x
Solving
y = 25 + 12x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Simplifying
y = 25 + 12x
Step-by-step explanation:
I tried
ANother giveaway in one another condition is to sing 'I Want it that way by backstreet boys'
Answers
Answer:
Step-by-step explanation: Backstreet Boys are an American vocal group, formed in Orlando and The song was a minor success in the U.S., peaking at only The group began working on their second album
What is 52 percent of 210?
Answers
Answer:
109.2
Step-by-step explanation:
Answer:
109.2
Step-by-step explanation:
(Weird name)
A car dealership increased the price of a certain car by 11%. The original price was $42,200.
(a) Fill in the blank to write the new price in terms of the original price.
Write your answer as a decimal.
New price - Original price
(b) Use your answer in part (a) to determine the new price.
Answers
So, with percentages the easiest way is to multiply the 42200 by 0.11. After that you get (4642.00) < Answer to A so you add 42200 to 4642 to get the new price. That should bring you to (46842.0) < Answer to B
A line passes through the points (1, -6) and (4,3). What is the y-intercept of this line?
○ -9
○ -3
○ 3
○ 9
Answers
Answer: -9
The population in Smalltown in 2010 was 45,230 people and is growing exponentially at a
rate of 2%. What will the population be in 2030?
O 67,475
O 81.928
O 67.209
O 82.414
Answers
Answer:
The first option
67475
Step-by-step explanation:
Step one:
Given data
The population in Smalltown in 2010 was 45,230
rate= 2%= 0.02
time t= 20 years
Step two:
Let P(t) = population t years after 2010
= 45230e^0.02t
Population in 2030 = P(20)
= 45230e^0.02t(20)
= 45230e^0.4
≈ 67475
Answer:
A
Step-by-step explanation:
Just adding in from the previous answer too, bc I thought it would be wrong but it wasn't
Can someone help me with this question ASAP!
Answers
Answer:
2700
Step-by-step explanation:
i think it is becaus you have to do l x w x h
Sofia exchanged 1,000 US dollars for the currency of South Africa, which is called the rand. The exchange rate was 7.45 rand to $ 1.
Part 1 of 2
How many South African rand did Sofia get? Explain how you know.
For every $ 1 that Sofia exchanges,____ she received _____
rand. So, you multiplied $ 1,000 ×______=?
. Sofia got _____
rand.
Answers
1000x7.45
will mark brainliest, what are the missing numbers?
Answers
Answer:
117
Step-by-step explanation:
Got it from calucaltor and did it to make sure
Answer:
117
Step-by-step explanation:
7.(03.02) What is the factored form of 3x2 + 5x – 12? (1 point) (3x + 3)(x + 4) (3x - 1)(x – 4) (3x + 4)(x - 3) (3x – 4)(x + 3)
Answers
Answer:
Hope it can help you... .
If u understand my answer, you can mark me as a brainlist.....
Answer:
(x + 3)(3x - 4)
Step-by-step explanation:
Given
3x² + 5x - 12
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 12 = - 36 and sum = + 5
The factors are + 9 and - 4
Use these factors to split the x- term
3x² + 9x - 4x - 12 ( factor the first/second and third/fourth terms )
= 3x(x + 3) - 4(x + 3) ← factor out (x + 3) from each term
= (x + 3)(3x - 4)
Thus
3x² + 5x - 12 = (3x - 4)(x + 3) ← in factored form
How do I find the measurement indicated in each parallelogram.
Answers
Answer:
17) 23
18) 12
Step-by-step explanation:
17
x+15 = 7+2x
x-2x = 7-15
-x= -8
x=8
WX = x+15
= 8+15
= 23
18
2x = 3x-6
2x -3x = -6
-x = -6
x = 6
EF = 3x-6
= 3(6) -6
= 18 -6
= 12
The diameter of a cylindrical water tank is 10 ft, and it's height is 11 ft. What is the volume of the tank? Use the value 3.14 for pie, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.
Answers
Answer:
864.05ft^2Step-by-step explanation:
Step one:
given data
diameter= 10ft
radius = 10/2= 5ft
height = 11ft
Step two:
Required
the volume of the cylinder
The expression for the volume of the cylinder is
v= πr^2h
substituting our given data
v= 3.142*5^2*11
v=3.142*25*11
v=864.05ft^2
Solve the inequality. 4v + 9 ≤ 5 or -3 >= -6
Answers
Answer:
v ≤ − 1 or Always true
Step-by-step explanation:
I hope this helps!
Answer:
v ≤ − 1
Step-by-step explanation:
Identify the triangle by its sides and angles:
equilateral, isosceles, scalene, acute, obtuse, right.
(you should have two answers)
Answers
Answer: Right and isosceles
Find the measure of the numbered angle.
Answers
Answer:
1 = 37° 2 = 57°
Step-by-step explanation:
All the angles in a triangle have the sum of 180°The small box in the corner of the angle represents 90°To Find Angle 1
Add -----> 90 + 53 = 143Subtract -----> 180 - 143 = 37To Find Angle 2
In the middle of the two shapes, they come to a point making them vertical angles. This means if one side is 90° the other side is also 90°Add -----> 90 + 33 = 123 Subtract -----> 180 - 123 = 57