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3 years ago

The angles shown below are supplementary: what is the value of x

Mathematics

2 answers:

Scorpion4ik [409]3 years ago

6 0

Answer:

x=12

Step-by-step explanation:

Supplementary angles add up to 180 degrees.

10x+60=180

Subtract 60 from both sides:

10x=120

Divide 10 to both sides:

x=12

Annette [7]3 years ago

5 0

Answer:

$x=12$

Step-by-step explanation:

By definition, supplementary angles add up to 180 degrees. Therefore, we can set up the follow equation to solve for $x$ :

$10x+60=180,\\10x=120,\\x=\boxed{12}$

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Y_Kistochka [10]

12 years if interest is paid yearly
12 months if interest is paid monthly
Step-by-step explanation:
2.75% of $1500 is $41.25 interest per period
$1995-$1500 = $495 total interest
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Therefore it takes 12 interest periods to reach $1995, so the answer is 12 months or 12 years depending on how often interest is paid.

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3 years ago

Determine whether the recursive sequence defined by an =1 , an+1 = 5+an diverges or converges. Find the limit if it converges.

zepelin [54]

Answer:

4 equals 1 is the answer

Step-by-step explanation:

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3 years ago

Perform the calculation then

Andru [333]

Answer:

416 (3 s.f.)

Step-by-step explanation:

To multiply decimals, begin by multiplying the numbers as if there is no decimal:

$\large\begin{array}{cccccc}&& 1 & 2 & 8 & 5\\\times && & 3 &2 & 4\\\cline{1-6} && 5 & 1 & 4 & 0\\&2&5&7&0&0\\3&8&5&5&0&0\\\cline{1-6}4&1&6&3&4&0\\\cline{1-6}^1&^1&^1&&\phantom{^{\frac{1}{2}}}&\end{array}$

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128.5 → 1 digit after the decimal point.
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Put the same number of digits after the decimal point in the product.

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5 0

1 year ago

Read 2 more answers

Alyssa worked 2 part-time jobs and earned $181.50 for working a total of 24 hours at both jobs. She is paid $6.00 per hour at jo

jeka57 [31]

Answer:

Alyssa work at job A $9\ hours$

Step-by-step explanation:

Let

x------> the number of hours at work A

y------> the number of hours at work B

we know that

$x+y=24$

$y=24-x$ -----> equation A

$6x+8.5y=181.5$ -----> equation B

substitute equation A in equation B

$6x+8.5(24-x)=181.5$

$6x+204-8.5x=181.5$

$8.5x-6x=204-181.5$

$2.5x=22.5$

$x=22.5/2.5$

$x=9\ hours$

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3 years ago

Use the numbers from the original example: $1,000 invested at a 2% interest rate compounded n times per year. Compare the change

damaskus [11]

Given:
P₀ = $1000, the principal
r = 2% = 0.02, the APR

Let the duration be 1 year
n = number of compounding intervals per year.
The value after 1 year is
$A=P_{0}(1 + \frac{r}{n} )^{nt} = 1000(1+ \frac{0.02}{n})^{n}$

The following table shows the results obtained from the calculator.

n A
------ ------------------
1 1020.00000
4 1020.15050
12 1020.18436
52 1020.19742
365 1020.20078

4 0

3 years ago