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drek231 [11]
3 years ago
12

20 POINTS! Please help, best answer will recessive brainliest answer points as well as 5 stars and a thank you. :)

Mathematics
1 answer:
Artyom0805 [142]3 years ago
7 0
<h3>Question: </h3><h3>In the diagram below of Δ ABC, side BC is extended to point D, m∠A = x , m∠B = 2x+15, and m∠ACD = 5x+5 , what is m∠B ?</h3>

Answer: 3) m∠B = 25º

Step-by-step explanation:

Since m∠C is supplementary to m∠ACD

m∠C = 180º - m∠ACD

m∠C = 180º -(5·x + 5)

m∠C = 180º -5 -5·x

m∠C = 175º - 5·x

The sum of the angles of a triangle = 180º

m∠A + m∠B + m∠C = 180º

x + 2·x + 15º + 175º - 5·x = 180º

3·x - 5·x +190º = 180º

-2·x = 180º - 190º

-2·x = -10º

x = -10º/-2 = 5º

Now we can substitute this value of x in m∠B

m∠B = 2x+15

m∠B = 2·x + 15º = 2·5º + 15º = 10º + 15º = 25º

Answer: 3) m∠B = 25º

<h2><em>Spymore</em></h2>
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The rocket that will return the rock and soil samples to Earth cannot lift off if the total weight of the samples from the rover
yuradex [85]

Binomial distribution will be used to know the probability that the total weight of the samples will exceed 530 pounds.

It is given that the rocket that will return the rock and soil samples to Earth cannot lift off if the total weight of the samples from the rovers exceeds 530 pounds.

In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a sequence of n independent experiments, each asking a yes–no question, and each with its own Boolean-valued outcome: success (with probability p) or failure (with probability q = 1 − p). A single success/failure experiment is also called a Bernoulli trial or Bernoulli experiment, and a sequence of outcomes is called a Bernoulli process; for a single trial, i.e., n = 1, the binomial distribution is a Bernoulli distribution. The binomial distribution is the basis for the popular binomial test of statistical significance.

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3 0
1 year ago
On a cold winter morning, the temperature was -4 degrees C. By noon, the temperature was 0 degrees. Did the temperature increase
solmaris [256]

Answer:

It increased by 4 degrees. It from -4 up to 0.

Step-by-step explanation:

7 0
3 years ago
7. A crate of soft drinks contains 9 bottles of coke, 6 bottles of pepsi and 4 bottles of limca. Ademola picks one bottle of sof
Mekhanik [1.2K]

The probability that the events (a) they both picked Limca = 0.04, (b) Ademola only picked Pepsi = 0.32, (c) They both picked the same brand = 0.33 (d) They picked different brand=0.67.

<h3>What is probability?</h3>

Probability is the fraction of the required outcome event divided by the number of possible outcomes of events.

Total possible outcome of the event of picking drinks contained in the crate = 19

Hence, we can compute the following as follows;

(a) The probability they both picked Limca = (4/19)×(3/18)

Limca = 12/342

Limca = 0.04

(b) The probability Ademola only picked pepsi = 6/19

pepsi = 0.32

(c) The probability they both picked the same brand = (9/19)×(8/18)+(6/19)×(5/18)+(4/19)×(3/18)

=(72+29+12)/342

= 114/342

= 0.33

(d) The probability they picked different brand = (9/19)×(6/18)+(9/19)×(4/18)+(6/19)×(9/18)+(6/19)×(4/18)+(4/19)×(9/18)+(4/19)×(6/18)

The probability they picked different brand = (54+36+54+24+36+24)/342

The probability they picked different brand = 228/332

The probability they picked different brand = 0.67

Therefore, the probability for events (a) is 0.04, (b) is 0.32, (c) is 0.33 and (d) is 0.67.

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6 0
1 year ago
Verify the identity. Show your work.<br> cot0 x sec0= csc0
BabaBlast [244]

(by 0 i mean the "theta" sign)

cot0 x sec0 = csc0

(cos0/sin0) x (1/cos0) = 1/sin0

1/sin0 = 1/sin

6 0
3 years ago
HELPP!!!!!
Alja [10]

Answer:

choice b

Step-by-step explanation:

3.49

____ = 0.1396 ≈ 0.14 or 14 cents per ounce

25

4.79

____ = 0.10644444 ≈ 0.11 or 11 cents per ounce

45

3 0
3 years ago
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