Answers
Answer:
y=5
x=10 and
z=2
Step-by-step explanation:
since they are equivalance then,
for
triangle ABC and triangle DFE
AB=DF,BC=FE and AC= DE
So, AB=DF
8y-20= 4y
or, y=5
Then, BC= FE
2x+5=x+15
or, x=10
and
AC=DE
3z+9=10z-5
or, z= 2
hope u got ut.
The triangles are parallel thus their sides are equal to each other peer to peer.
So ;
[tex]x + 15 = 2x + 5[/tex]
Subtract sides -5
[tex]x + 15 - 5 = 2x + 5 - 5[/tex]
[tex]x + 10 = 2x[/tex]
Subtract sides -x
[tex]x - x + 10 = 2x - x[/tex]
[tex]x = 10[/tex]
_________________________________
[tex]4y = 8y - 20[/tex]
Subtract sides -8y
[tex]4y - 8y = 8y - 8y - 20[/tex]
[tex] - 4y = - 20[/tex]
Negatives simplifies
[tex]4y = 20[/tex]
Divided sides by 4
[tex] \frac{4}{4}y = \frac{20}{4} \\ [/tex]
[tex]y = 5[/tex]
_________________________________
[tex]10z - 5 = 3z + 9[/tex]
Plus sides 5
[tex]10z - 5 + 5 = 3z + 9 + 5[/tex]
[tex]10z = 3z + 14[/tex]
Subtract sides -3z
[tex]10z - 3z = 3z - 3z + 14[/tex]
[tex]7z = 14[/tex]
Divided sides by 7
[tex] \frac{7}{7}z = \frac{14}{7} \\ [/tex]
[tex]z = 2[/tex]
_________________________________
And we're done....♥️♥️♥️♥️♥️
Related Questions
please please please please please
heeeeeeeeelp
Answer and I will give you brainiliest
Answers
9514 1404 393
Answer:
your marked choice is correct: x = e
Step-by-step explanation:
For the line to go through the origin, the ratio of ln(x) to x at the point must equal the slope at the point.
The slope of ln(x) is 1/x, so we require ...
ln(x)/x = 1/x
ln(x) = 1 . . . . . . multiply by x
x = e . . . . . . . . take antilogs
What is the opposite of the opposite of -1.4?
Answers
Answer:
-1.4
Step-by-step explanation:
opposite of -1.4 = 1.4
opposite of the opposite of -1.4 = the opposite of 1.4 = -1.4
A pizza restaurant has 63
2/3 cups of flour. Each batch of pizza dough uses 5 1/4 cups of flour.
Answers
Answer:
12 i think
Step-by-step explanation:
Answer:
I need help with this!!!!!
Step-by-step explanation:
The other person said 12 but how what if its not. ?
Find the Least Common Denominator of the fractions 5/8 , 1/2 , and 5/6
Answers
The Least Common Denominator of the fractions 5/8, 1/2, and 5/6 is 24.
What is least common denominator?The smallest number that can serve as a common denominator for a group of fractions is known as the least common denominator (LCD), also known as the lowest common denominator. The "smallest non-zero common number," a multiple of both numbers, is the least common multiple of two numbers.
How to solve it?Here, the given fractions are 5/8, 1/2, and 5/6.
So, we have to find the least common multiple of 8, 2, and 6 [Since they are the denominators of our given fractions].
8 = 2*2*2
2 = 2*1
6 = 2*3
So LCM of 8, 2, and 6 is 2*2*2*3 = 24
Therefore the Least Common Denominator of the fractions 5/8, 1/2, and 5/6 is 24.
Learn more about Least Common Denominator here -
https://brainly.com/question/12839053
#SPJ2
Which equation shows y=3x−15 in standard form?
A. 15x−5y=1
B. 15x+5y=−1
C. 5x−15y=1
D. 5x−15y=−1
Answers
Answer:
c 5x -15y =1
Step-by-step explanation:
5x-15y=1
-5x -15y= 1 -5x change the signs on both sides of the equation
15y = -1 +5x divide both sides by 15
y = -1/15 + 1/3 x Reorder the terms
y = 3x-15
:)
All options are wrong here.
Given equation is [tex]y=3x-15[/tex].
the equation given here is in form of [tex]y=mx+c[/tex] . The general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y -intercept (the point in which the line crosses the y -axis) .
We have to write [tex]y=3x-15 \\[/tex] in standard form.
The standard form for linear equations in two variables is Ax+By=C.
Now we convert [tex]y=3x-15[/tex] in standard form.
Here [tex]y=3x-15\\[/tex]
[tex]y-3x=-15\\\\-y+3x=15[/tex]
[tex]3x-y=15[/tex]
But no options match with the above standard form of equation.
Hence all options are wrong here.
For more details on standard form for linear equations follow the link:
https://brainly.com/question/7380540
Initially a pool contains 340 gallons of water. A hose is placed in the pool, and the water is turned on. The hose adds 5.2 gallons of water per minute. Write an equation to represent the total amount V of water in the pool in terms of x, the number of minutes the hose has been on.
Answers
Answer: Amount of water that is turned in a minute is 5.2d. Given the fact that initially was 350 gallons of water everything you pour needs to be added to the initial amount. So the answer is V(x) = 350 + 5.2x
thank me plz brainliest
Step-by-step explanation:
(3.8 x 10^5) + (5.7 x 10^5) answer in scientific notation
Answers
Solving Steps:
(3.8 x 10^5) + (5.7 x 10^5)
3.8 x 10^5 + 5.7 x 10^5
(3.8 + 5.7 x 10^2) x 10^5
...Rest of work
Compare decimals in differ
Order the values from least to greatest.
91 hundredths
(1x1)+ (9
(1x)
1
10
0.19
Stuck? Watch a video or use a hint.
Answers
Answer:
hehaw
Step-by-step explanation:
0.19, 91 hundredths, then the equation
22-3(4)
How do I answer this question?
Answers
Answer:
76
Step-by-step explanation:
22-3=19
19x4=76
22-3= 19
19 * 4= 76
I hope this helps! It’s my first time giving an answer
im so stupid i need help 14.7 ÷ 7= what equation/
Answers
2m^2 + 5m + 16 = 8
Solutions: ____
Show work:
Step 1: Equation to complete the square
Step 2: Show work here to find the c-value.
Step 3: Show work here to factor: (Don’t forget the sign of the binomial)
Step 4: Show work for solving for both roots.
Answers
Answer:
there is no solution for this equation
The size of the deer population at a national park increases at the rate of 4.9% per year. If the size of the current population is 153, find how many deer there should be in 6 years. Use y=y0e0.049t and round to the nearest whole number. Question 6 options: a) 205 b) 203 c) 210 d) 209
Answers
Answer:
Im a be honest it either 203 or 205 Im leaning towards 205
Step-by-step explanation:
The length of a rectangle is increasing at a rate of 1 meter per day and the width is decreasing at a rate of 2 meters per day. When the length is 8 meters and the width is 18 meters, then how fast is the AREA changing?
Answers
Answer:
The area is changing at 2 m²/d.
Step-by-step explanation:
The area of a rectangle is given by:
[tex] A = l*w [/tex]
Where:
l is the length
w is the width
We have that the length is increasing at a rate:
[tex] \frac{dl}{dt} = 1 \frac{m}{d} [/tex]
And the width is decreasing at a rate:
[tex]\frac{dw}{dt} = -2 \frac{m}{d}[/tex]
The change in the rectangle's area is the following:
[tex] \frac{dA}{dt} = w\frac{dl}{dt} + l\frac{dw}{dt} [/tex]
When the length is 8 meters and the width is 18 meters we have:
[tex] \frac{dA}{dt} = 18 m*1\frac{m}{d} + 8 m(-2 \frac{m}{d}) [/tex]
[tex] \frac{dA}{dt} = 18 \frac{m^{2}}{d} - 16 \frac{m^{2}}{d} [/tex]
[tex] \frac{dA}{dt} = 2 \frac{m^{2}}{d} [/tex]
Therefore, the area is changing at 2 m² per day.
I hope it helps you!
Five companies (A, B, C, D, and E) that make elec- trical relays compete each year to be the sole sup- plier of relays to a major automobile manufacturer. The auto company’s records show that the probabili- ties of choosing a company to be the sole supplier are Supplier chosen: A B C D E Probability: .20 .25 .15 .30 .10 a. Suppose that supplier E goes out of business this year, leaving the remaining four companies to compete with one another. What are the new probabilities of companies A, B, C, and D being chosen as the sole supplier this year? b. Suppose the auto company narrows the choice of suppliers to companies A and C. What is the probability that company A is chosen this year?
Answers
Answer:
a
[tex]P(a | e') = 0.22[/tex]
[tex]P(b | e') = 0.28[/tex]
[tex]P(c | e') = 0.33[/tex]
b
[tex]P(a | e' , d' , b') = 0.57 [/tex]
Step-by-step explanation:
From the question we are told that
The probabilities are
Supplier chosen A B C
Probability P(a) = 0.20 P(b) = 0.25 P(c) = 0.15
D E
P(d) = 0.30 P(e) = 0.10
Generally the new probability of companies A being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem
[tex]P(a | e') = \frac{P (a \ and \ e')}{P(e')}[/tex]
[tex]P(a | e') = \frac{P (a)}{P(e')}[/tex]
[tex]P(a | e') = \frac{P (a)}{1- P(e)}[/tex]
=> [tex]P(a | e') = \frac{ 0.20}{1- 0.10}[/tex]
=> [tex]P(a | e') = 0.22[/tex]
Generally the new probability of companies B being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem
[tex]P(b | e') = \frac{P (b \ and \ e')}{P(e')}[/tex]
[tex]P(b | e') = \frac{P (b)}{P(e')}[/tex]
[tex]P(b | e') = \frac{P (b)}{1- P(e)}[/tex]
=> [tex]P(b | e') = \frac{ 0.25}{1- 0.10}[/tex]
=> [tex]P(b | e') = 0.28[/tex]
Generally the new probability of companies C being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem
[tex]P(c | e') = \frac{P (c \ and \ e')}{P(e')}[/tex]
[tex]P(c | e') = \frac{P (c)}{P(e')}[/tex]
[tex]P(c | e') = \frac{P (c)}{1- P(e)}[/tex]
=> [tex]P(c | e') = \frac{ 0.15}{1- 0.10}[/tex]
=> [tex]P(c | e') = 0.17[/tex]
Generally the new probability of companies D being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem
[tex]P(d | e') = \frac{P (d \ and \ e')}{P(e')}[/tex]
[tex]P(d | e') = \frac{P (d)}{P(e')}[/tex]
[tex]P(d | e') = \frac{P (d)}{1- P(e)}[/tex]
=> [tex]P(d | e') = \frac{ 0.30}{1- 0.10}[/tex]
=> [tex]P(c | e') = 0.33[/tex]
Generally the probability that B, D , E are not chosen this year is mathematically represented as
[tex]P(N) = 1 - [P(e) +P(b) + P(d) ][/tex]
=> [tex]P(N) = 1 - [0.10 +0.25 +0.30 ][/tex]
=> [tex]P(N) = 0.35[/tex]
Generally the probability that A is chosen given that E , D , B are rejected this year is mathematically represented as
[tex]P(a | e' , d' , b') = \frac{P(a)}{P(N)}[/tex]
=> [tex]P(a | e' , d' , b') = \frac{0.20 }{0.35 }[/tex]
=> [tex]P(a | e' , d' , b') = 0.57 [/tex]
Question 1
1 pts
A high school gym teacher records how much time each student requires to complete a one-mile run.
This
is an example of measuring a continuous variable.
Answers
Answer:
True : It is an example of a continuous variable
Step-by-step explanation:
Numerical variables acn be classed as either being discrete or continuous based on whether the values in the data set are finite and countable or not.
Discrete variables are characterized by possessing a finite number of possible values which are countable and usually do not involve decimal numbers in between successive whole numbers.
On the other hand continuous variables are non finite and usually contains a lot of points in between possible whole numbers such as in the scenario above, the race time for the students take up any number within minutes, seconds and milliseconds. Hence, making the possible Numner of values impossible to predict or state.
Mike wanted to purchase a couch for $350.00 and realized the couch was on sale for 25% off. How much would Mike pay for the couch, before taxes, once the discount was applied?
$87.50
$262.50
$349.75
$437.50
Answers
Answer:
87.50
Step-by-step explanation
For the y-values in the given in the table, add x-values that will eliminate the set of ordered pairs as being a function. State the four c-values. X, Y 9,2,6,11
Answers
The x-values could be 1,3,1,3 because this would eliminate it fom being a function.
A basket can hold 30 apples. Max has 16 apples. He plans to buy 6 more. Each apple costs $1. After he buys the new ones, how many more apples will the basket hold? The basket can hold more apples after Max buys more.
Answers
Answer:
He can buy 8 more apples because 16+6=22-30=8
Step-by-step explanation:
Hope it helps :)
Have a good day/night
Brainliest pls?
"Macy was asked to compare the two ratios 4:5 and 19 to 30. Her work is shown below. Which is true"?
Answers
Answer:C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
c. One sixth of a number is 15. What is the number?
Please explain step by step.
Answers
Answer:
90
if 15 is 1 6th then yo need 5 more 15s to find out the whole number
Help please for brainliest
Answers
7^2 + b^2 = 60^2
14 + b^2 = 120
-14 -14
————————
B^2 = 106
*square root* b^2 (square root and 2 cancel each other out)= *square root* 106
B = 106
X = 106
I THINK!
I’m really sorry if I’m wrong, I would wait for a second opinion lol.
Answer:
4.62 ? if we're not rounding to the nearest tenth
exact:
4.61867098
There is a paper attached only 5 questions :)
Answers
Answer:
Question 1: 20,160 cookies
Question 2: 37,600 letters
Question 3: 252,396 squares on each tablecloth
Question 4: 138,762 points
Question 5: 4,652,352 shrimp
Step-by-step explanation:
Question 1: Multiply 315 and 64 to get amount of cookies
Question 2: Multiply 940 and 40 to get the number of letters
Question 3: Multiply 36 and 7,011
Question 4: Multiply 26 and 5,337 to get the number of points
Question 5: Multiply 96 and 48,462 to get the number of shrimp the chef prepared.
:)
need help with promblem
Answers
Adriana had 5.15 grams of pepper. Then she used 0.71 grams of the pepper to make some scrambled eggs. How much pepper does Adriana have left?
Answers
Answer:
the answer is 4.98
Step-by-step explanation:
you subtract 0.17 from 5.15 you will get 4.98
If sqrt 16 = x, then x2 =
Answers
Answer:
The square root of 16=4, 4x2=8, x2=8.
Step-by-step explanation:
A family is purchasing 17 tickets for a downtown walking tour. Adult tickets are $10, child tickets are $7, and senior tickets are $8.50. The total
cost of the tickets is $141.50, and they are purchasing 2 more senior tickets than adult tickets.
Create and solve a system of linear equations to represent this situation. Then select the true statement.
А. The solution to this system is nonviable because it results in a fractional number of tickets.
B. The solution to this system is no viable because it results in a negative number of tickets.
C. The solution to this system is viable.
D. The solution to this system is nonviable because it results in a fractional amount of money.
Answers
Answer:
А. The solution to this system is nonviable because it results in a fractional number of tickets.
Step-by-step explanation:
Let x represent the number of adult tickets, y represent the number of child ticket and z represent the number of senior ticket.
Since the number of purchased ticket is 17, hence:
x + y + z = 17 (1)
The total cost of tickets is $141.50, hence:
10x + 7y + 8.5z = 141.5 (2)
they are purchasing 2 more senior tickets than adult tickets, therefore:
x = z + 2 (3)
Solving equation 1 2 and 3 simultaneously gives:
x =17/3, y = 23/3, z = 11/3
Therefore the solution to this system is nonviable because it results in a fractional number of tickets.
Answer:
А.The solution to this system is nonviable because it results in a fractional number of tickets
Step-by-step explanation:
took the test on edmentum and got it correct
5 divided by 1/4
a 10
b 5/4
c 1/20
d 20
Answers
Answer:
d
Step-by-step explanation:
it would be 5 x 4/1 and u would get 20/1
- when dividing with a fraction u have to do keep, change, flip
or just plug it into a calculator :))
Answer:
D. 20
Step-by-step explanation:
5 / (1/4) =20
5/.25=20
Select all the proper fractions.
Answers
Answer:
what are the fractions?
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the product of the binomials below? (D+1)(d-2)(d+3)
Answers
A bookshelf at a bookstore is 3 feet 9 inches wide. There are 18 copies of the same book on the shelf, which fit the shelf exactly. What is the width of 1 of the books?
Answers
Answer:
5 / 2 inches OR 2.5 in
Step-by-step explanation:
3 ft 9 in = 45 inches
45in/18 books
5 in / 2 book