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Let x as the missing segment.
_________________________________
According to the Thales theorem :
[tex] \frac{26}{x} = \frac{12}{36} \\ [/tex]
[tex] \frac{26}{x} = \frac{12}{12 \times 3} \\ [/tex]
[tex] \frac{26}{x} = \frac{1}{3} \\ [/tex]
Inverse both sides
[tex] \frac{x}{26} = \frac{3}{1} \\ [/tex]
[tex] \frac{x}{26} = 3 \\ [/tex]
Multiply sides by 26
[tex]26 \times \frac{x}{26} = 26 \times 3 \\ [/tex]
[tex]x = 26 \times 3[/tex]
[tex]x = 78[/tex]
Thus the missing segment has a measure of 78 .
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Related Questions
Vanessa deposited money into a bank account that earned 1.25% simple interest each year. After 1/2 year, she had earned $5.00 in interest on the account.
No other money was deposited into or withdrawn from the account.
How much was her initial deposit?
Answers
Answer:
800
Step-by-step explanation:
Just took the quiz
could someone help me please!!
Susan is going to a Columbia Fireflies game. Each ticket (t) costs $14. She also had to pay $8 for parking. If she can spend $50 or less total, how many tickets can she buy?
Solving Real World Linear Inequality Applications
Answers
Answer:
She could buy 3 tickets
Step-by-step explanation:
$14 x 3= 42
$42 + $8=50
What’s the value of y?
Answers
Answer:
c. 19
Step-by-step explanation:
This model is describing a function. You put in a number for x, in this case, the input of 7 on the side. You solve the equation with that x-value to get a y-value/output.
x=7
y=3x-2
y=3(7)-2
y=21-2
y=19
what's the equivalent expression of 2(4x+1)
Answers
Answer:
Step-by-step explanation:
Are there any choices?
2(4x+1)
8x+2
The expression equivalent of 2(4x+1) would be; 8x+2
What are equivalent expressions?Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.
To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.
We need to find the expression into an equivalent.
Therefore, given expression is
2(4x+1)
This expression could also be given by;
2(4x+1) = 2(4x ) + 2
Now, we know that:
2(4x+1) = 8x+2
Hence, the expression equivalent of 2(4x+1) would be; 8x+2
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please solve this
√0.6×√2.4=
Answers
In decimal is 1.2
the triangle is rotated 90° clockwise around the point (0,0) what will be the coordinates of the image of point L after rotation
Answers
Answer:
help please i need helppppp
this is an identifying functions lesson someone please help
Answers
Explanation:
If c(x) means the cost of the rental trucks, then in the chart it means that it cost 60 dollars to be rented for 3 days.
Hope this helped :)
I NEED HELP! I AM THE WORST AT MATH
Jonah is playing a video racing game called Checkpoint. The speed of Jonah’s car is recorded four times during one lap. At the first checkpoint, his speed is 80 miles per hour. At the second checkpoint, his speed has reduced by 5%. At the third checkpoint, Jonah’s speed has increased by the speed from the previous checkpoint. At the fourth checkpoint, his speed decreased by 20% compared with the third checkpoint. What is Jonah’s net change in speed between the first and fourth checkpoints?
A. 4
B. -4
C. 15
D. -15
Answers
Answer:
Its -15 or D
Step-by-step explanation:
Answer:
D. -15
Step-by-step explanation:
5x <10 what is the answer? Soo easy
Answers
Answer:
The answer is x<2
Step-by-step explanation:
First, divide both sides by 5
5x/5 < 10/5
x<10/5
x<2
what is the solution to the equation represented by the model below?
x= -14
x= -2
x= 2
x= 14
Answers
Answer:
C
Step-by-step explanation:
On the left, we have 3 positive x bars and 8 1s.
Hence, the left can be represented by the following expression:
[tex]3x+8[/tex]
On the right, we have 4 positive x bars and 6 1s.
Hence, the right can be represented by the following expression:
[tex]4x+6[/tex]
The two are equivalent. Therefore:
[tex]3x+8=4x+6[/tex]
Solve for x. Subtract 6 from both sides:
[tex]3x+2=4x[/tex]
Subtract 3x from both sides:
[tex]2=x[/tex]
Flip:
[tex]x=2[/tex]
Hence, our answer is C.
Answer:
kelvin is right lol
Step-by-step explanation:
Carrie wants to conduct a randomized experiment on 50 articles of her dirty clothing to see if detergent A or detergent B cleans better. Which of the following best describes the method for randomization using slips of paper within this experiment?
A. Label each article of clothing with a number from 1 to 50, and write those numbers on identical slips of paper. Shuffle the slips of paper and choose 25 slips of paper to wash with detergent A and the remaining slips to wash with detergent B.
B. Label each article of clothing with a number from 1 to 50, and write those numbers on identical slips of paper. Shuffle the slips of paper and choose 25 of them. The numbers on those slips will represent the items that will be washed with detergent A and the remaining items will be washed with detergent B.
C. Label each article of clothing with a number from 1 to 50, and write those numbers on identical slips of paper. Carefully place the slips of paper in a stack and choose the top 25 slips of paper. The numbers on those slips will represent the items that will be washed with detergent A and the remaining items will be washed with detergent B.
D. Label each article of clothing with a number from 1 to 50, and write those numbers on different-sized slips of paper. Use large slips for pants, medium-sized slips for shirts, and small slips for shorts. Shuffle the slips of paper and choose 25 slips of paper. The numbers on those slips will represent the items that will be washed with detergent A and the remaining items will be washed with detergent B.
E. Label each article of clothing with a number from 1 to 50, and write those numbers on identical slips of paper. Shuffle the slips of paper and choose 25 of them. The numbers on those slips will represent the items that will be washed with detergent A. Replace those slips and shuffle all 50 slips again and choose 25 slips again. The numbers on those slips will represent the items that will be washed with detergent B.
Answers
Answer:
b
Step-by-step explanation:
Because if it has to be random then you wouldn't know what 25 numbers you were going to pull out.
You have 2 apples and 8 oranges.
apples : oranges
Answers
Answer:
1:4. if simplified
Step-by-step explanation:
ksgsktskst
700,000,000+60,000,000+8,000,000+90,000+2,0000+50+4
Answers
Answer:
768,092,054
Step-by-step explanation:
700,000,000+60,000,000+8,000,000+90,000+2,000+50+4
The easiest way to solve is to put the numbers in every place value they go in. So, the answer would be...
768,092,054
Hope this helps! Have a nice day :D
There are 28 Year 8 students going on the ski trip, out of the 45 students going. Write this proportion as a percentage. Give your answer correct to 1 decimal place.
Answers
Answer:
62.2%
Step-by-step explanation:
We are told in the question that:
The total number of students going = 45 students
The number of year 8 students going for the ski trip = 28 students
The proportion is :
28/45
Converting this proportion to a percentage.
28/45 × 100
= 0.6222222222222222 × 100
62.222222222%
Approximately to 1 decimal place is
62.2%
A swimming pool is 30 feet wide and 50 feet long. If it is surrounded by square tiles, each of which is 1 foot by 1 foot, how many tiles are there surrounding the pool?
Answers
Answer:
164 tiles
Step-by-step explanation:
Per the above details, we will require tiles along all the sides of the swimming pool ,hence the circumference of the pool is denoted as;
= 2(wide + long)
Wide = 30 feet
Long = 50 feet
Circumference = 2(30 + 50)
Circumference = 2(80)
Circumference = 160.
It means that minimum of 160 tiles of 1 ft length is required, however, we will also require tile on each of the corners(4), total equals
= 160 + 4
= 164 tiles
A total of 164 tiles are there surrounding the pool.
Write an equation of the line parallel to given that contains C(6,-2);=-3/2x+6
Please answer this asap
Answers
Answer:
3/-2-2
Step-by-step explanation:
this should be parrallel
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPP ILL GIVE BRAINLIEST
Answers
Answer:
25
Step-by-step explanation:
asq+bsq=csq
49+576=625
Root 625=25
PLEASE HELP! IT'S DUE TODAY!
Answers
Answer:
25 ft
Step-by-step explanation:
5x = 10² ⇒ x = 20
h = 20 + 5 = 25 ft tall
Pls help me hurry pls
Answers
Answer:
c 90 clockwise
Step-by-step explanation:
Investors buy a studio apartment for $240,000. Of this amount, they have a down payment of $60,000.
a. Their down payment is what percent of the purchase price?
b. What percent of the purchase price would a $12,000 down payment be?
Answers
Answer:
A) 4%
B) 20%
Step-by-step explanation:
As, A) we will take 60,000/240000 x 100% so that we can find the percentage.
So the answer = 4%
B) for $12,000, 12, 000/240000 x 100%
Answer = 20%
A) The percentage is 4%
B) The percentage is 20%
Given that,
Investors buy a studio apartment for $240,000. Of this amount, they have a down payment of $60,000.calculation:(a)
[tex]= 60,000\div 240000[/tex]
= 4%
(b)
[tex]= 12, 000\div 240000[/tex]
= 20%
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Write the equation of the line that goes through (2, 1) and is PARALLEL to 4x - 2y = 3 pls help asap! i have more questions like this also if someone could help me out
Answers
Answer:
Step-by-step explanation:
4x-2y=3
Get into y=mx+b
-4x on each side
Then divide by -2
y=2x- 1.5
Now if a line is parallel to another line the slope will be the same. If perpendicular the slope will be the negative reciprocal. As you said it is parallel the slope is 2.
y = mx+b
y = (slope)x + y-intercept
y= 2x + 1
Sorry if it is wrong but I hope it is right
- If the exterior angle of the triangle measure 133°, and its remote interior
angles measure x° and (2x-5)°, what is the value of x?
a. x = 61.7°
b. x = 133°
c. x = 47°
d. x = 46°
Answers
Answer:
D
Step-by-step explanation:
Mathematically;
the exterior angle is the sum of the two remote interior angles
Thus;
x + 2x-5 = 133
3x-5 = 133
3x = 133 + 5
3x = 138
x = 138/3
x = 46
What is the image of (-3, -3) after a dilation by a scale factor of 1/3 centered at the
origin?
Answers
The image of (-3, -3) after dilation by a scale factor of 1/3 centered at the origin is (-1, -1).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given, the image of (-3, -3) after dilation by a scale factor of 1/3 centered at the origin will be,
= (-3/3, -3/3).
= (-1, -1).
It has been shrinked by a factor of three the image became smaller.
learn more about transformations here :
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use the line to approximate the rate of change for the parabola between x=1 and x=2
Answers
Answer:4
Step-by-step explanation:
A savings bond currently made Jamar $2,112.64 worth of interest in 7 years. If the investment gained 5.5% annual simple interest each year, approximately how much was the bond originally bought for?
A.$1381.81
B.$2673.21
c.$4903.23
D.$5487.36
Answers
Answer:
D; it was bought for $5,487.36
Step-by-step explanation:
Let the investment amount be $x
We use the formula for simple interest to get the interest
(2112.64-x) = (x * 5.5 * 7)/100
211264-100x = 38.5x
138.5x = 211264
x = 211264/138.5
x = 5,847.36
In triangle ABC, EG = x inches and BG = (5x - 12) inches. Triangle A B C has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments A D, B E, C F. [Figure may not be drawn to scale] What is EB? 2 inches 4 inches 8 inches 12 inches
Answers
Answer:
12. Hope this helps!!!
Step-by-step explanation:
Answer: Option D
Step-by-step explanation: edge
What are the factors of the trinomial? Select two options.
x – 14
x + 7
x – 7
x – 2
x + 2
Answers
I thinkkkkkk
The factors of the trinomial are x-7, x-2.
What is Trinomial Polynomial?A trinomial has three terms.
The complete question is
The model of a trinomial is shown. An algebra tile configuration. 0 tiles are in the Factor 1 spot and 0 tiles are in the Factor 2 spot. 24 tiles are in the Product spot: 1 is labeled x squared, 7 are labeled negative x, the 2 tiles below x squared are labeled x, and the 14 tiles below the negative x tiles are labeled negative. What are the factors of the trinomial? Select two options. X – 14 x 7 x – 7 x – 2 x 2.
Here, among all the given factors, model of trinomial, which is represented by the algebra tile configuration is
x-7, x-2
Learn more about this concept here:
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How many moles are in the 500.0g lump of coal (which is made of carbon) that you received in your Christmas stocking last year?
How many carbon atoms are in this 500.0g lump of coal?
Answers
Answer:
Number of moles = 41.67 (Approx)
Number of carbon atom = 250.97 x 10²³ (Approx)
Step-by-step explanation:
Given:
Amount of carbon = 500 g
Find:
Number of moles
Number of carbon atom
Computation:
Number of moles = 500 / Atomic number of weight
Number of moles = 500 / 12
Number of moles = 41.67 (Approx)
Number of carbon atom = Number of moles x Avogadro number
Number of carbon atom = 41.67 x 6.023 x 10²³
Number of carbon atom = 250.97 x 10²³ (Approx)
Carlo and Helen spend the same amount of money on art supplies. Carlo buys 4 glue
sticks and spends $3 on glitter. Helen buys 2 glue sticks, and she spends $3.75 on tape
and $2.75 on paint. What is the cost, x, of each glue stick?
Answers
Since we don't have a total cost we will write an equation that will allow us to find the cost of x. The equation is 4x= 2x + $3 + $3.75 + $2.75. Now that we have our equation we are going to start by adding 3, 3.75, and 2.75. When added together, they come out with a total of 9.5. Now the equation becomes 4x= 2x + $9.50. Since we have our new equation we are going to subtract 2x from both sides of the equation. We now have the equation 2x= $9.50. Finally, you will divide both sides by 2. This leaves us with the final outcome x= $4.75. This means that one glues stick cost $4.75. Let's check by substituting $4.75 as the value of x in the expressions 4x is Carlo's total and 2x + $3 + $3.75 + $2.75 is Helen's total. First we do 4x, 4 multiplied by 4.75 equals 19, so Carlo spent $19 on art supplies. Now we do 2x + $3 + $3.75 + $2.75, which is 9.5 added to 9.5 and equals 19. So Helen spent $19 on art supplies. This proves that the cost of one glue stick, x, is equal $4.75.
3x+2y=0
x-5y=17
solve in a Solving Systems by Elimination
Answers
Answer:
The answer is below!
Step-by-step explanation:
I hope this helps!
Answer:
For the first one,"3x+2y=0". i got 5=0.
For the second one,"x-5y=17". I got 3x
Step-by-step explanation: