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Natalija [7]
2 years ago
6

Triangle L M Q is cut by perpendicular bisector L N. Angle N L Q is 32 degrees and angle L M N is 58 degrees. Is TriangleMNL ≅ T

riangleQNL? Why or why not? A: Yes, they are congruent by either ASA or AAS.
B: Yes, they are both right triangles.
C: No, AngleM is not congruent to AngleNLQ.
D: No, there are no congruent sides.
Mathematics
2 answers:
mariarad [96]2 years ago
7 0

Answer:

A Yes, they are congruent by either ASA or AAS.

Step-by-step explanation:

lorasvet [3.4K]2 years ago
6 0

Answer:

A

Step-by-step explanation:

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Using the standard normal table, the probability that Seth’s light bulb will last no more than 14,500 (P(z ≤ 1.25)) hours is abo
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Answer:

How many standard deviations above the mean is 14,500 hours? 1.25 1.5 2.5 Using the standard normal table, the probability that Seth's light bulb will last no more than 14,500 (P(z ≤ 1.25)) hours is about ✔ 89% .

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Divide 4p2 + 6 by 2p – 2. Which statements are true about the division? Select three options. The divisor is 2p – 2. The dividen
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Answer:

The answer to your question is below

Step-by-step explanation:

1.

                                           2p    +  2                       ⇒  Quotient

Divisor    ⇒     2p - 2        4p²   +   0p  +  6            ⇒ Divident

                                        -4p²    +   4p

                                           0      +  4p  + 6

                                                   -  4p   + 4

                                                        0   + 10             ⇒ Remainder

2. The dividend is 4p2 + 0p + 6.

The quotient is 2p + 2 + .

The remainder over the divisor is     10 / (2p - 2)  .

To check the answer, multiply 2p + 2 + times 4p2 + 0p + 6 and verify that it equals the divisor.

                  (2p - 2)(2p + 2) = 4p⁴ + 4p - 4p - 4

                                           = 4p⁴ - 4 + 10

                                          = 4p⁴ + 10

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2 years ago
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Which expression is equivalent to (n + 12) x 5+7n
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World wind energy generating1 capacity, W , was 371 gigawatts by the end of 2014 and has been increasing at a continuous rate of
Sunny_sXe [5.5K]

Answer:

a) W(t) = 371(1.168)^{t}

b) Wind capacity will pass 600 gigawatts during the year 2018

Step-by-step explanation:

The world wind energy generating capacity can be modeled by the following function

W(t) = W(0)(1+r)^{t}

In which W(t) is the wind energy generating capacity in t years after 2014, W(0) is the capacity in 2014 and r is the growth rate, as a decimal.

371 gigawatts by the end of 2014 and has been increasing at a continuous rate of approximately 16.8%.

This means that

W(0) = 371, r = 0.168

(a) Give a formula for W , in gigawatts, as a function of time, t , in years since the end of 2014 . W= gigawatts

W(t) = W(0)(1+r)^{t}

W(t) = 371(1+0.168)^{t}

W(t) = 371(1.168)^{t}

(b) When is wind capacity predicted to pass 600 gigawatts? Wind capacity will pass 600 gigawatts during the year?

This is t years after the end of 2014, in which t found when W(t) = 600. So

W(t) = 371(1.168)^{t}

600 = 371(1.168)^{t}

(1.168)^{t} = \frac{600}{371}

(1.168)^{t} = 1.61725

We have that:

\log{a^{t}} = t\log{a}

So we apply log to both sides of the equality

\log{(1.168)^{t}} = \log{1.61725}

t\log{1.168} = 0.2088

0.0674t = 0.2088

t = \frac{0.2088}{0.0674}

t = 3.1

It will happen 3.1 years after the end of 2014, so during the year of 2018.

7 0
2 years ago
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