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lisabon 2012 [21]
3 years ago
9

Given the labeled diagram at the left. Find X.

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
6 0

Answer:

x = 55°

Step-by-step explanation:

Measure of central angle is equal to the measure of the corresponding minor arc

Therefore, m(central angle) = 70°

Since, radii of same circle are equal

Therefore, measure of the angles opposite to them are also equal.

So, by interior angle sum postulate of a triangle:

x + x + 70° = 180°

2x = 180° - 70°

2x = 110°

x = 110°/2

x = 55°

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Taryn bought 12.6 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the numbe
Alina [70]

Answer:

<h2> Amount in liters is 47.9 liters</h2>

Step-by-step explanation:

The Question is incomplete, it does not provide the measurements or options to choose from, but we can estimate the answer

Step one:

Given data

Taryn Bought 12.6gallons of gasoline

1 gallon of gasoline is  3.8 liters

We want to convert from gallons to liters

Step two:

----if 1 gallon has 3.8 liters

then 12.6 gallons will have x liters

cross multiply we have

x= 12.6*3.8

x=47.88 liters

Hence the estimated amount in liters is 47.9 liters

8 0
3 years ago
Your credit card has a balance of $3300 and an annual interest rate of 14%. You decided to pay off the balance over two years. I
NARA [144]

9514 1404 393

Answer:

  • $137.90 more each month
  • $246.00 less total interest

Step-by-step explanation:

The amortization formula is ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

for the monthly payment on principal P at annual rate r for t years. Here, we have P=3300, r = 0.14, and t=1, so the monthly payment is ...

  A = $3300(0.14/12)/(1 -(1 +0.14/12)^-12) ≈ $296.30

The payment of $296.30 is ...

  $295.30 -158.40 = $137.90 . . . more each month

The total amount paid is 12×$296.30 = $3555.60, so 255.60 in interest. This amount is ...

  $501.60 -255.60 = $246.00 . . . less total interest

3 0
3 years ago
One question WILL GIVE BRAINLIEST - Algebra
snow_tiger [21]

Answer:

B' (5,1)

C' (3,2)

A' (3,0)

Step-by-step explanation:

6 0
3 years ago
What extra step must be done to solve for x once a polynomial has been factored?
masya89 [10]

Answer:

you  have to set each factor to 0 and solve.

Step-by-step explanation:

6 0
3 years ago
Applying Rate of change
olga nikolaevna [1]
\bf \begin{array}{ccllll}&#10;minutes(x)&Mbs\ left(y)\\&#10;-----&-----\\&#10;2&38.4\\&#10;8&9.6&#10;\end{array}\\\\&#10;-----------------------------\\\\&#10;slope = {{ m}}= \cfrac{rise}{run} \implies &#10;\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\impliedby \textit{rate of change}&#10;\\\\\\&#10;m=\cfrac{9.6-38.4}{8-2}\implies m=-\cfrac{24}{5}\iff m= -4.8

now, notice, the rate of change for downloading is negative, because, "y" is decreasing,  namely the Mbs to be downloaded, are less and less and less as the minutes go by, because the file is almost fully downloaded

so is -4.8

now... at 8minutes, there are 9.6Mbs to download
bear in mind that 9.6 is just 4.8 * 2
that simply means, another minute, another 4.8 Mbs, and another minute and another 4.8 Mbs and the file is done

so, the file downloaded really in 10minutes

now, we know the rate is -4.8 or -24/5,   let us nevermind the sign for now

since we know the file is downloading at 24Mbs in 5minutes, a rate of 24/5

how much is it for 10 minutes?   well 10 is really just 5 * 2

so if it downloads at a rate of 24Mbs per 5mins, in 10 minutes it downloaded 24*2 or 48Mbs
7 0
3 years ago
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