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andrezito [222]
2 years ago
12

In circle O, ST is a diameter.

Mathematics
2 answers:
Andreas93 [3]2 years ago
8 0

The value of x must be 25.0. The correct option is the second option-  25.0

<h3>Solving Linear equations </h3>

From the question, we are to determine the value of x

From the given diagram, we can write that

m ∠SOR + m ∠UOR + m ∠TOU = 180° (<em>Sum of angles on a straight line</em>)

∴ (2x +8)° + (3x - 14)° + (3x -14)° = 180°

2x° + 8° + 3x° -14° + 3x° -14° = 180°

Collect like terms

2x° + 3x° + 3x° + 8° - 14° -14° = 180°

8x° -20° = 180°

8x° = 180° + 20°

8x° = 200°

x = 200/8

x = 25.0

Hence, the value of x must be 25.0. The correct option is the second option-  25.0

Learn more Solving linear equations here: brainly.com/question/1413277

#SPJ1

Ainat [17]2 years ago
7 0

Answer:

25.0

Step-by-step explanation:

just took it

\

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Find the percent of change if the original price is $246.95 and the new price is $199.95. Round to nearest tenth of a percent if
Grace [21]

Answer:

<h3>Percentage change = 19%</h3>

Step-by-step explanation:

Since the new price is lesser than the original price the percentage change will be a decrease.

To find the percentage change use the formula

Percentage  \:  \: change =  \frac{change}{original  \:  \: quantity}  \times 100

To find the change subtract the new price from the original price

new price = $199.95

original price = $246.95

Change = $246.95 - $ 199.95 = $47

Percentage  \:  \: change =  \frac{47}{246.95}  \times 100

<h3>Percentage change = 19%</h3>

Hope this helps you

3 0
3 years ago
Read 2 more answers
a family buys a new home for $212,500 and pays a 20% down payment ($42,500). if the mortgage is for 15 years at 5.75% interest w
diamong [38]

Answer:

Their monthly house payment is of $2,184.65.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

A family buys a new home for $212,500 and pays a 20% down payment ($42,500).

This means that the loan is of 212,500 - 42,500 = $170,000, that is, P = 170,000

Value of the loan in 15 years:

15 years means that t = 15

5.75% interest means that r = 0.0575

Compounded yearly, so n = 1

Then

A(t) = P(1 + \frac{r}{n})^{nt}

A(15) = 170000(1 + \frac{0.0575}{1})^{15}

A(15) = 393237

Monthly payment:

Total of $393,237 in 15*12 months. So

M = \frac{393237}{15*12} = 2184.65

Their monthly house payment is of $2,184.65.

5 0
3 years ago
I really need help with 8a and 8d please also if you could explain how to show the work
Anuta_ua [19.1K]

Answer: So they want you to find out the perimeter of the area!(8a so 8 times 2 is 16 times 3 is 48! Same-thing with the next one expect you divide 6 and 6 which is 1 and then since it says BY you multiple by 5. wich will give you 5.


Step-by-step explanation: Honestly i kind of explained it already! GOOD LUCK!!!!


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2 years ago
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Does anyone know “?” ? ILL MARK AS BRAINLIEST
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Answer:

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5 0
2 years ago
I don't like math it makes me sad
PSYCHO15rus [73]
It would be 250 in because you see 10x20 is 200 and and 10x10 is 100. But since part of the figure is a triangle you have to dive it by 2 and 100/2=50. 200+50=250
Hope that helps!
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3 years ago
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