Answers
Answer:
x = 10
y = 5
Step-by-step explanation:
Since, two lines p and q are the parallel lines and FA is a transversal line intersecting these parallel lines.
ΔAOB and ΔDOC are the similar triangles.
Therefore, by the property of similar triangles, corresponding sides of the similar triangles will be proportional.
[tex]\frac{AO}{OD}= \frac{OB}{OC}[/tex]
[tex]\frac{x}{15}= \frac{8}{12}[/tex]
x = [tex]\frac{15\times 8}{12}[/tex]
x = 10
Similarly, triangles AOB and OEF will be similar.
And by the property of similar triangles,
[tex]\frac{AO}{OF}= \frac{OB}{OE}[/tex]
[tex]\frac{x}{15+y}= \frac{8}{12+4}[/tex]
[tex]\frac{10}{15+y}= \frac{8}{16}[/tex]
8(15 + y) = 160
120 + 8y = 160
8y = 160 - 120
8y = 40
y = 5
Related Questions
Someone help me please!
Answers
Answer:
here's the answerhope this helpsAnswer:
x = 120/29
Step-by-step explanation:
-1/6(x + 18) + 1/5(x + 5) = x - 6
-1/6x - 3 + 1/5x + 1 = x - 6
-1/6x + 1/5x + 1 - 3 = x - 6
-1/6x + 1/5x - 2 = x - 6
-5/30 + 6/30x = x - 6 + 2
1/30x = x - 4
1/30x - x = -4
-29/30x = -4
-29/30x • 30/29 = -4 • 30/29
-x = -4/1 • 30/29
-x = -120/29
-x/-1 = 120/29/-1
x = 120/29
Angle e measures 126∘. What is the measure of ∠h?
Group of answer choices
108∘
36∘
54∘
126
Answers
The reason for this is that they are a pair of vertical angles and so both of the angles will be the same.
As it's a circle and circles add up to 360 degrees, the other 2 angles would be 59 degrees each as 360-252 = 108 and 108/2 = 59 degrees. They are also vertical.
Which of these phrases contain a variable? Check all that apply.
A. Eight miles long
B. The speed of the scooter
C. Two pounds of nails
D. The width of the book
Answers
Answer:
B. The speed of the scooter.
Step-by-step explanation:
hope it helped
https://freegiftcards.co/21PJNU
Answers
t + 50 = 130 so what is t
Answers
Answer:
t + 50 = 130t + 50 _ 50 = 130-50t = 80:. t is 80Step-by-step explanation:
I hope it helps ❤❤Find the x - intercept and
y – intercept of the graph of the
equation 4x + 7y = 6
Answers
Step-by-step explanation:
x- intercept is the x coordinate when y is 0
4x + 7(0) = 6
4x = 6
x = 1.5
(1.5, 0)
y- intercept is when x is 0
4(0) + 7y = 6
7y = 6
y = 6/7
( 0, 6/7)
I hope this helps!!!
Name:
11. Find the measure of each acute angle.
(2x + 6°
(5x + 14°
Answers
Answer:
A
Step-by-step explanation:
Dc is a little bit more than a few other things but I think it’s Going and the kids have to be in a different room yet I think it’s going on for me and my kids are in my car so I’m going to go get my car off at my moms and I can go pick it out I have a lot to go
500 Bhadgaule caps bought for Rs. 200000 in Nepali market are sold in Britain after paying
5% export tax then 150% profit was made. Find the selling price of each Cap in Pound Sterling.
[£ 1 = Rs. 155.63]
Answers
Answer:
Selling price of each cap = £6.75 (Approx.)
Step-by-step explanation:
Given:
Number of caps = 500
Cost of caps = Rs. 200,000
Export tax = 5%
Profit = 150%
£ 1 = Rs. 155.63
Find:
Selling price of each cap
Computation:
Cost of 1 cap = 200,000 / 500
Cost of 1 cap = Rs 400
After Add export tax = 400 + 400(5%)
After Add export tax = Rs 420
After profit = 420 + 420(150%)
After profit = Rs 1050
Selling price of each cap = 1,050 / 155.63
Selling price of each cap = £6.75 (Approx.)
What is the slope of the two points? (-2,7) (-2,5)
Answers
Answer:
-1/2
Step-by-step explanation:
y2 - y1
----------
x2 - x1
Select the correct answer. On what interval is the function h(x) = 1 - 5] + 2 Increasing?
OA (2,00)
OB. (5,00)
OC. (-00, 2)
OD. (-0,5)
Answers
Answer:a
Step-by-step explanation:
The function h(x) is increasing on the interval (5, ∞).
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
The function h(x) = |x − 5| + 2 is increasing on an interval where the derivative is positive.
If x < 5, then h(x) = -(x-5) + 2 = 7-x, and if x > 5, then h(x) = x - 5 + 2 = x - 3. Thus,
h'(x) =[tex]\left \{ {{ -1, for x < 5} \atop { 1, for x > 5}} \right.[/tex]
Since h'(x) is positive for all x > 5, the function h(x) is increasing on the interval (5, ∞).
Learn more about function here:
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Complete question:
On what interval is the function h(x) = |x − 5| + 2 increasing?
200-3.5 x 2.8 what is the product?
Answers
Answer:
190.2
Explanation:
3.5x2.8=9.8
200-9.8=190.2
Answer:
how do you find the product of 3.5 x 2.8
Step-by-step explanation:
explain how you got it.
What would the total bill be of a painting that costs $20.50 with a tax rate of 6%?
Answers
Answer:
$21.73
Step-by-step explanation:
6% = 0.06
$20.50x0.06 = $1.23
$20.50 + $1.23 = $21.73
Which ratio is equivalent to the ratio 2.5
Answers
sorry if this is wrong!:(
Use the drawing tools to form the correct answer on the number line.
Graph the solution set to this inequality.
31 – 11 > 71 + 9
Answers
Answer:
We conclude that
[tex]3x-11>7x+9\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-5\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-5\right)\end{bmatrix}[/tex]
Please check the attached diagram which shows the solution on the number line.
Step-by-step explanation:
Given the inequality
[tex]3x-11>7x+9[/tex]
Add 11 to both sides
[tex]3x-11+11>7x+9+11[/tex]
Simplify
[tex]3x>7x+20[/tex]
Subtract 7 from both sides
[tex]3x-7x>7x+20-7x[/tex]
Simplify
[tex]-4x>20[/tex]
Multiply both sides by -1 (reverses the inequality)
[tex]\left(-4x\right)\left(-1\right)<20\left(-1\right)[/tex]
Simplify
[tex]4x<-20[/tex]
Divide both sides by 4
[tex]\frac{4x}{4}<\frac{-20}{4}[/tex]
Simplify
[tex]x<-5[/tex]
Therefore, we conclude that
[tex]3x-11>7x+9\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-5\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-5\right)\end{bmatrix}[/tex]
Please check the attached diagram which shows the solution on the number line.
Caiden drank 1/6 of a glass of apple cider. Olivia drank 2/3 of another class of apple cider. How much apple cider did they drink altogether?
Answers
Answer:
Step-by-step explanation:
Both Caiden and Olivia drank
1/6+2/3=1/6+4/6=5/6 apple cider
Answer:
5/6 apple cider vinegar altogether
What property does the following equation show? 5+7+9=7+5+9
Answers
-addition
Hope this helps lol
Answer:
Commutative property of addition
Step-by-step explanation:
The commutative property of addition says that changing the order of addends does not change the sum.
Adjust to compatible numbers that count by 25s, and then subtract to estimate the difference. 252 - 23 =
Answers
Answer:
252
l----------l----------l----------l 252 changes to 250
225 250 275 300
23
l----------l---------l---------l 25 changes to 23
0 25 50 75
250-25=225
Step-by-step explanation:
If $120.99 is charged for 654 units of electricity
used, find the cost of one unit of electricity,
plz help me solving this question step by step this is important for me
Answers
Answer:
The cost of one unit of electricity is $0.185
Step-by-step explanation:
Amount charged = $120.99
Units of electricity used = 654
The cost of a unit of electricity can be determined by dividing the amount charged by the number of units used.
So that,
cost of one unit of electricity = [tex]\frac{120.99}{654}[/tex]
= 0.185
cost of one unit of electricity = $0.185
This implies that the cost of electricity used is charged at $0.185 per unit.
Thus for 654 units of electricity used, the cost would be;
654 x $0.185 = $120.99
Twenty-eight girls and thirty five boys signed up for the Field Day relay race. Each team needs to have a equal number of girls and boys on it.
What is the greatest number of teams possible? ___
How many girls will be on each team? ___
How many boys will be on each team? ___
very urgent! i'd love if you could answer this for me :3
Answers
Answer:
The greatest number of teams is 4, with each having 7 boys and 7 girls. There is a remainder of 7 boys.
Step-by-step explanation:
PLSSS.
:)))))))(( HELP!!!!!
Answers
Answer:
54
Step-by-step explanation:
In a stem and leaf plot, the stems are typically increments of ten. Therefore, 5, or 50, is the largest stem. Now, in that row, we have to find the biggest leaf. Luckily for us, in stem and leaf plots, the leaves are organized in a least-to-greatest order. We go down to the end of the row and boom! 4. Put the stem and leaf together and we have 54.
Also can you please mark my answer as the brainliest answer?
Thanks.
What is the perimeter of the figure below?
r
X
r-2
Answers
Answer:
Perimeter = 5x - 2
Step-by-step explanation:
Perimeter of the figure = sum of all its side lengths
Thus:
Perimeter = (x - 4) + (x + 3) + (x - 2) + x + (x + 1)
Perimeter = x - 4 + x + 3 + x - 2 + x + x + 1
Collect like terms
Perimeter = x + x + x + x + x - 4 + 3 - 2 + 1
Perimeter = 5x - 2
Being timed so please be fast
Aeronautical researchers have developed three different processes to pack a parachute. They want to compare the different processes in terms of time to deploy and reliability. There are 1,200 objects that they can drop with a parachute from a plane. Using a table of random digits, the researchers will randomly place the 1,200 items into three equally sized treatment groups suitable for comparison.
How should the items be labeled to select the process groups using a table of random digits?
A 1–3
B 1–1200
C 0000–1200
D 0000–1199
Answers
Answer:
0000–1199
Step-by-step explanation:
Edge 2020/2021
The amount a basketball coach spends at a sporting goods store depends on the number of basketballs the coach buys. The situation is represented by the function rule a= 13b.
Make a table of values and graph the function rule. Is the graph continuous or discrete? Explain.
Suppose the coach spent $117 before tax. How many basketballs did she buy?
Answers
The graph is discrete and the coach can buy 9 basketballs with $117.
What are Continuous and Discrete Functions?Continuous functions are those functions for which the value of function can take any number on a certain interval.
Discrete functions, on the other hand, takes separate and distinct values for the function.
The function here is,
a = 13 b
where a is the amount spending on the store and b is the number of basketball she buys.
(a) The table is shown below:
b : 0 1 2 3 4
a : 0 13 26 39 52
The graph is discrete because the function values are discrete.
(b) If the coach spent $117,
a = 117
b = a / 13
b = 117 / 13
b = 9
Hence the graph of the function is discrete and the coach can buy 9 basketballs with the given amount.
Learn more about Continuous and Discrete Functions, click :
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Kedar earns a monthly salary of $2,600 plus a 3.25% commission on the amount of his sales at a men's
clothing store. One month he sold $4,700 in clothing.
Part 1 out of 2
What was his commission that month?
His commission was: (select)
V
✓ Check
Next
Answers
______________________________
= 3.25% × $4,700 ÷ 100= $152.75Kedar's Commission Was $152.75______________________________
Meal tickets at a large school cafeteria cost $4 for children and $9 for adults. On a certain day,
if 14 times as many children's tickets were bought as adult meal tickets, and the total revenue
from selling all tickets was $2,584, about how many children bought meal tickets?
Answers
Answer:
Let's define:
C = number of children tickets bought
A = number of adult tickets bought.
We know that "On a certain day, if 14 times as many children's tickets were bought as adult meal tickets"
Then we have:
C = 14*A
And we also know that:
"the total revenue from selling all tickets was $2,584"
Then:
C*$4 + A*$9 = $2,584
Then we have a system of equations:
C = 14*A
C*$4 + A*$9 = $2,584
The first step to solve these is to isolate one of the variables in one of the equations, and then replacing it in the other equation. We can already see that C is already isolated in the first equation, then we can just replace it in the second one to get:
(14*A)*$4 + A*$9 = $2,584
A*$56 + A*$9 = $2,584
A*$65 = $2,584
A = $2,584/$65 = 39.75
Here we should have a whole number, (So one of the numbers given may be incorrect) This is because we can not have a 0.75 of a ticket sold.
In this case, we know that:
C = A*14
C = 39.75*14 = 546.5
We could round this up to get a whole number; 547
About 547 children tickets were sold.
PLZ HELP I WILL GIVE 100 PTS
Your classmate writes that if y > x, then aˣ/aʸ = 1/a⁽ʸ⁻ˣ⁾ for all real numbers x and y.
Is your classmate correct? PLZ EXPLAIN
Answers
Answer:
yes your class mate is correct ..........
Answer:
Yes your class mate is correct
Please help I need it plz
Answers
Answer:
your answer is goin to be -27
Answer:
b= -27
Step-by-step explanation:
-1/3b=9
or, b=9/-1/3
or, b= -27
hence b=-27
If each of the following questions were asked to a group of second graders, which question would NOT be a statistical question? A. What time do you wake up in the morning? B. How tall are you? C. How many brothers and sisters do you have? D. What grade are you in?
Answers
Answer:
d
Step-by-step explanation:
just makes sense bc they're all in 2nd grade
find the value of x for which WXYZ must be a parallelogram
Answers
Answer:
x=9
Step-by-step explanation:
8x+7=5x+34
3x+7=34
3x=27
x=9
Answer:
the answer is 9
Step-by-step explanation:
I took the test
Help please i dont know what to do!
Answers
Answer:
A = 22x + 330
from what I can see from the picture
Step-by-step explanation:
A = lw
A = (x + 15) x (22)
A = 22x + 330
Answer:
814 (if the first one is a square)
Step-by-step explanation:
the rectangle has an area of 330
if the first shape is a square then it is 484