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andrew11 [14]
3 years ago
11

In the diagram below, BD is parallel to XY. What is the value of y?

Mathematics
2 answers:
galben [10]3 years ago
8 0

Answer:

67 degrees

Step-by-step explanation:

alternate exterior angles are always congruent

likoan [24]3 years ago
6 0

Answer:

The value of y is 67°.

Step-by-step explanation:

Here, given that;

BD is parallel to XY. let EF be a transversal line meeting BD at O and XY at P.

now, angle XQF = 67°

now, angle XQF + angle YQF=180° (being linear pair)

or, 67°+angle YQF =180°

or, angle YQF=180°-67°

therefore angle YQF = 113°.

now, angle YQF + angle PQY=180° (being linear pair).

now, 113°+angle PQY = 180°.

or, angle PQY = 180°-113°.

therefore, angle PQY =67°.

again, angle EPD= angle PQY (being corresponding angles).

or, y°= 67°.

Therefore the value of y is 67°.

<em><u>hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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Answer:

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Solve the system of equations.
Alenkasestr [34]

Step-by-step explanation:

<u>Step 1:  Substitute x from the second equation into the second one</u>

2x - 9y = 14

2(-6y + 7) - 9y = 14

(2 * -6y) + (2 * 7) - 9y = 14

-12y + 14 - 9y = 14

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<u>Step 2:  Substitute y into the second equation</u>

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4 0
3 years ago
Read 2 more answers
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Harman [31]
The answer is A. 1.2
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3 years ago
Fiona invested $1000 at 7% compounded continuously. At the same time, Maria invested $1100 at 7% compounded daily. How long will
Natali [406]

9514 1404 393

Answer:

  14,201 years

Step-by-step explanation:

The two compound interest formulas are ...

  A = P·e^(rt) . . . . . continuous compounding at rate r for t years

  A = P·(1 +r/365)^(365t) . . . . . daily compounding at rate r for t years

We went the amounts to be equal:

  1000·e^(0.07t) = 1100·(1+0.07/365)^(365t)

Dividing by 1000(1 +0.07/365)^(365t), we have ...

  ((e^0.07)/(1+0.07/365)^365)^t = 1.1

The base of the exponential on the left is ...

 ( e^0.07)/(1+0.07/365)^365 ≈ 1.00000671149321522

Taking logs, we have ...

  t×ln(1.00000671149321522) = ln(1.1)

  t = ln(1.1)/ln(1.00000671149321522) ≈ 0.09531018/(6.7114704·10^-6)

  t ≈ 14,201.09 . . . . . years

It will take about 14,201 years for the investments to be equal.

_____

<em>Additional comment</em>

The investment value at that time will be about $5.269·10^434. (That's a larger number than <em>anything</em> countable in the known universe, including energy quanta.)

These calculations are beyond the ability of many calculators, so might need to be carefully rewritten if the calculator only keeps 10 significant digits, or only manages exponents less than 100.

This shows that daily compounding is very close in effect to continuous compounding. It would take almost 150 years to make a difference of 0.1% in value.

4 0
3 years ago
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