Answers
Answer:
The length of the line segment UV is 76 units
Step-by-step explanation:
In a triangle, the line segment joining the mid-points of two sides is parallel to the third side and equal to half its length
In Δ ONT
∵ U is the mid-point of ON
∵ V is the mid-point of TN
→ That means UV is joining the mid-points of two sides
∴ UV // OT
∴ UV = [tex]\frac{1}{2}[/tex] OT
∵ UV = 7x - 8
∵ OT = 12x + 8
∴ 7x - 8 = [tex]\frac{1}{2}[/tex] (12x + 8)
→ Multiply the bracket by [tex]\frac{1}{2}[/tex]
∵ [tex]\frac{1}{2}[/tex] (12x + 8) = [tex]\frac{1}{2}[/tex] (12x) + [tex]\frac{1}{2}[/tex] (8) = 6x + 4
∴ 7x - 8 = 6x + 4
→ Add 8 to both sides
∴ 7x - 8 + 8 = 6x + 4 + 8
∴ 7x = 6x + 12
→ Subtract 6x from both sides
∴ 7x - 6x = 6x - 6x + 12
∴ x = 12
→ Substitute the value of x in the expression of UV to find it
∵ UV = 7(12) - 8 = 84 - 8
∴ UV = 76
∴ The length of the line segment UV is 76 units
Related Questions
A logo is made of a square and a semicircle. The square has side lengths of 12 inches. One side of the square is also the diameter of the semicircle. What is the approximate total area of the logo?
PLEASEEEEE I NEED THIS ASAP PLEASEEEEEEEE
Answers
Sidra is building a birdhouse. She drills a hole with a drill bit and tries to find a corresponding screw. The 1/4 inch screw is too big, and the 1/8 inch screw is too small. Which of the following could be the size of the drill bit Sidra used? 1/2 inch, 3/16 inch, 5/16 inch, 4/32 inch, or 8/32 inch
Answers
1/8 < x < 1/4
1/2 > 1/4 so 1/2 is wrong
If we multiply both top and bottom of 1/4 by 4 we get 4/16 which is less than 5/16 so 5/16 is wrong
4/32 can be simplified to 1/8 which is given to be too small so 4/32 is wrong
8/32 can be simplified to 1/4 which is given to be too big so 8/32 is wrong
At the restaurant, the cost of the meal before tax was
$40. The tax is 8.5%, and Sheri wants to leave at least
an 18% tip. Explain how to approximate the total cost of
the meal.
Answers
Answer:
This comes out to around 25 percent. Simply multiply 40 by 1/4 to get 10 dollars.
Step-by-step explanation:
Answer:
Step-by-step explanation:
40x0.085=3.4
40+3.4= 43.4
43.4x0.18=7.8
43.4+7.8=51.212$
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answers
Answer:
A
Step-by-step explanation:
Because when you see X and Y, x multiplied by -6 is equal to y so if you check -84/-6, your correct answer should be 14 also A, hopefully this gave you the explanation you were looking for!!!!!!!!
(Angle relationships) solve this question.
Answers
Answer:
21
Step-by-step explanation:
What is the area of the figure?
A. 36 cm2
B. 26 cm
C. 15 cm
D. 42 cm2
Answers
Answer:
Sorry to break it to ya but the other answer is wrong and the correct answer is A. 36 cm^2
Step-by-step explanation:
1. Divide the figure into 2 figures.
2. Calculate the first figure by multiplying the length (7 cm) and width (4 cm).
3. After that, we get 28. Do the same to the other figure. (4 cm x 2 cm = 8 cm).
4. Combine the 2 areas to get your total area. (28 + 8 = 36 cm^2).
5. NEVER forget the "^2" meaning squared when calculating the area.
Hope this helps, have a good day/night. :)
A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
The area of the figure is 36 cm².
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
Example:
The area of the rectangle with a length of 3 cm and wide 5cm is 15 cm².
We have,
A figure.
The figure has two rectangles.
One rectangle:
Length = 4 cm
Wide = 7 cm
Area of the rectangle = 4 x 7 = 28 cm²
Another rectangle:
Length = 2 cm
Wide = 4cm
Area of the rectangle = 2 x 4 = 8 cm²
The area of the figure.
= 28 + 8
= 36 cm²
Thus,
The area of the figure is 36 cm².
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Find the value of x.
3x - 9+X + 5
Answers
Answer:
4x-4 should be the answer
Please Hurry
The graph shows the savings in Andre’s bank account.
What is the slope of the line?
What is the meaning of the slope in this situation?
Answers
Answers:
Slope = 5
Interpretation = Andre is saving 5 dollars per week
================================================
Work Shown:
The two points (0,40) and (4,60) are on the line
Use the slope formula
m = (y2-y1)/(x2-x1)
m = (60-40)/(4-0)
m = 20/4
m = 5
The slope is 5.
In this context, it means each time the number of weeks goes up by 1, the amount of his savings goes up by 5. In short, he's saving $5 per week.
note: the y intercept tells us that Andre started off with $40 in his account.
The slope is 5 in slope-intercept form.
What is in slope-intercept form?
Y = mx + b, which defines a line, is an equation's slope-intercept form.When a line is graphed, its slope, m, and its point of intersection with the y-axis, b, also known as the y-intercept, are shown.To find answers for x, y, m, and b, utilize slope intercept form.the y intercept tells us that Andre started off with $40 in his account.
Slope = 5
The two points (0,40) and (8,80) are on the line
Use the slope formula
Take any two points
m = (y2-y1)/(x2-x1)
= 80-40/8-0
= 40/8
=5
The slope is 5.
In this context, it means each time the number of weeks goes up by 1, the amount of his savings goes up by 5. In short, he's saving $5 per week.
Learn more about slope-intercept form
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Old Navy is having a sale for the summer they are selling for shirts for $23 what is the price per share at the store
Answers
Answer:
5 dollars and 75 cents.
Step-by-step explanation:
I think you mean 4 shirts are 23$? If so ,you would divide 23 by 4 to get how many dollars is 1 shirt. 23/4 = 5.75
each year lizza school purchased agenda books, which are sold in the school this year the school purchased 350 books at a cost of 1,137.50 if the school would like to make a profit of 1,500 to pay for field trips and school activities, what is the least amount they can charge for each agenda book
Answers
New price (at least): 1,500 / 350 = 4.3 (result is rounded)
Find the value of K. The diagram is not to scale. Explain your answer.
Answers
Answer:
639 lo hago para conseguir puntos ;V
Step-by-step explanation:
Can someone please tell me if I got this right or wrong? I’ll give brainliest
Please be honest
Answers
Answer:
yes your answer is correct
Step-by-step explanation:
Please help please help
Answers
Answer:
b
Step-by-step explanation:
cause if you divided 5 by 4 you'd get 1.25 then times that by 8 it'll give you 10 thus the answer is b
Charlie bought a pair of shorts at the store when they were having a 45% off sale. If the regular price was 24$ how much did charlie pay?
Answers
Answer:
$10.80
Step-by-step explanation:
45% of $24=10.8
use place value and money to make it $10.80
TEN DOLLARS AND EIGHTY CENTS
zoe has earned 650$ during the four weeks she worked at the rec center. the first 2 weeks she earned 220$ and 98$. the last 2 weeks she earned the same amount. how much money did zoe earn in the last 2 weeks
Answers
Answer:
The wording of this question was really confusing, but I believe the answer is 166 dollars.
Step-by-step explanation:
$220+ $98= $318
650-318=332
332/2=166
A poll is given, showing 60% are in favor of a new building project. If 9 people are chosen at random, what is the probability that exactly 4 of them favor the new building project?
Answers
Answer:
The probability that exactly 4 are in favor the new building project is 0.1672.
Step-by-step explanation:
Let X denote the number of people who are in favor of a new building project.
The proportion of people who are in favor of a new building project is, p = 0.60.
A random sample of n = 9 people are chosen.
Every person has independent opinion about the new building project.
Thus, the random variable X follows a binomial distribution with parameters n = 9 and p = 0.60.
Compute the probability that exactly 4 are in favor the new building project as follows:
[tex]P(X=4)={9\choose 4}(0.60)^{4}(1-0.60)^{9-4}\\\\=126\times 0.1296\times 0.01024\\\\=0.167215104\\\\\approx 0.1672[/tex]
Thus, the probability that exactly 4 are in favor the new building project is 0.1672.
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answers
Answer:
x=16 because the proportional size, this also means that if the -84 becomes 16 in proportion size.
plssss i need help rn
Answers
Answer:
3
Step-by-step explanation:
(x₁ , y₁) = (-1 , -2) & (x₂ , y₂) = (3 , 10)
[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{10-[-2]}{3-[-1]}\\\\=\frac{10+2}{3+1}\\\\=\frac{12}{4}\\\\=4[/tex]
m = 4
y - y₁ = m (x - x₁)
y - [-2] = 4(x - [-1])
y + 2 = 4(x + 1)
y + 2 = 4x + 4
y = 4x + 4 - 2
y = 4x + 2
What is the perimeter of the figure?
A. 20.0 cm
B. 23.0 cm2
C. 25.0 cm2
D. 11.0 cm
Answers
Answer:
Answer is D, all you do is add the numbers
The perimeter of the figure is 20 cm.
The perimeter of the figure is the sum of the whole sides. When the whole sides of the figure is added the perimeter is known. Therefore,
perimeter = 5 cm + 3 cm + 1 cm + 2cm + 4cm + 5 cm
perimeter = 8 cm + 3cm + 9cm
perimeter = 20 cm
The perimeter of the figure = 20 cm
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Which equation represents a linear function?
Group of answer choices
y – 5 = x(–x + 2)
y – 5 = x – 20
y(x – 1) = 9
y(y – 1) = x + 25
Answers
At Jay Street Middle School, 25%of eighth graders wear glasses. If 100 students wear glasses how many eighth graders are there in total?
Answers
Answer:
400 total
Step-by-step explanation:
so 100 is 25% of 100% and 25%x4=100%
so do 100x4=400=100% of the middle schoolers
what is x-(3)/(5)=(5x)/(6)? with steps answer fast
Answers
hi
x- 3/5 = 5x/ 6
6x - 18/5 = 5x
6x -5x = 18/5
x = 18/5
let's check : 18/5 - 3/5 = 15/5 = 3
5 * 18/5 / 6 = 18/6 = 3
result is correct.
alg 2 complex numbers in standard form! please help me :(
Answers
Answer:
B
Step-by-step explanation:
Refer to the picture that given
I need help ASAP (10 points) I checked and the only information I got was that x=8 I don’t know how to get the answer 8
Answers
Answer:
x=8
Step-by-step explanation:
This is a congruent triangle. If we use Pythagorean theorm, we can see that 3^2+y^2=25
y^2= 16
y=4
(y is the base of the small triangle)
and since the big triangle and the small triangle are congruent(the ratios are the same), 3 is half of 6, and so the base of the small triangle is half of the big triangle's.
4*2=8
x=8
Jan raised $120.75 at the car wash. If each wash costs $5.75, how many cars did she wash?
Answers
Answer:
She washed 21 cars
Step-by-step explanation:
Answer:
Jan washed 21 cars
Step-by-step explanation:
120.75 / (Divided) 5.75=21
If you were to times 5.75 by 21 you will get the amount she rasied at the car wash
What is an equation with a slope of 2 that passes through (-8,0)
Answers
1) y=Mx+b
2) substitute the values: 0= -8x2 + b
3)multiply: 0= -16 +b
4) add 16 to both sides : 16= b
5) b is your y int. Plug in the values y=2x + 16
Answer : y= 2x+ 16
Solve (t-3)^2=6. The arrow is at a height of 48ft after approximately ____s and after ___s
Answers
Answer:
s - t = 3. s/3 + t/2 = 6
Step-by-step explanation:
Answer:
0.55 & 5.45
Step-by-step explanation:
EDGE VERIFIED
In 8 hours, Raina reads 56 chapters of a book.
What is her rate in chapters per hour?
Answers
Answer:
7
Step-by-step explanation:
I’ll give the brainlest answer! Is this relation a function? Please help
Answers
Answer:
show me the choices
Step-by-step explanation:
so i qnswer ir
A merchant instructs his agent to buy 1,000 micro tip pens and sell them at 15% above the purchase price. the agent charges 1% commission on the purchase and 3% commission on sales and earns Rs.534/- as commission.find the price and which the agent buys the pen
Answers
Answer:
Thank you and please rate me as brainliest as it will help me to level up
The price of the pen is "12", and the cost price of 1000 pens is "12000".
Calculating the price of the pen:Assume the number of Pens[tex]= x[/tex]
commission price of 1000 Pens[tex]=1000 x[/tex]
The selling price of Pens:
[tex]=\frac{1000\times 115x}{100}\\\\ ={10\times 115 x}{}\\\\= 1150x[/tex]
Commission price on Purchase:
[tex]= \frac{1000\times 1 x}{100}\\\\= \frac{10\times 1 x}{1}\\\\= 10x[/tex]
commission price on sales:
[tex]=\frac{1150x \times 3}{100}\\\\=\frac{115 x \times 3}{10}\\\\=\frac{345 x }{10}\\\\=34.5\ x[/tex]
Calculating the total commission:
[tex]\to 10x+34.5x=44.5x=534\\\\\to 44.5x=534\\\\\to x = \frac{534}{ 44.5}=12[/tex]
Therefore, the agent buys a pen at 12 rupees and the cost price of 1,000 pens is 12000.
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