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Nataliya [291]
3 years ago
15

What is the value of x?

Mathematics
1 answer:
andre [41]3 years ago
4 0
X is 149°. I hope this helps!
You might be interested in
Problem B
Lyrx [107]

Answer:

The years are:

  • 1000 BCE, 999 BCE, 888 BCE, 777 BCE, 666 BCE, 555BCE, 444 BCE. 333 BCE, 222 BCE, 111 BCE
  • 111 CE, 222 CE, 333 CE, 444 CE, 555 CE, 666 CE, 777 CE, 888 CE, 999 CE, 1000CE, 1011 CE, 1101 CE, 1110 CE,1222CE, 1333CE, 1444CE, 1555 CE, 1666 CE, 1777CE, 1888 CE, 1999CE, and 2000 CE

Explanation:

<u>1. Years BC:</u>

a) Years with four digits:

The first number with 3 equal digits is 1000. After that the years go decreasing: 999, 998, 997, ...

b) Years with three digits:

From 999 to 111, the numbers have three digits, thus the only that are solutions ara 999, 888, 777, 666, 555, 444, 333, 222, and 111: 9 numbers

After that the years have two digits, thus no solutions, with two digits.

Hence, we count 10 different years.

<u>2. Years CE</u>

a) Years with three digits:

  • 111, 222, 333, 444, 555, 666, 777, 888, 999: 9 years

b) Years with four digits

i) Starting with 1:

  • With three 0: 1000: 1 year
  • With three 1: 1011, 1101, 1110: 3 years
  • With three digits different to 1: 1222, 1333, 1444, 1555, 1666, 1777, 1888, 1999: 8 years

ii) Starting with 2:

  • With three 0: 2000: 1 year

The next one with three equal digits is 2111 and it is after 2020 CE.

Therefore, 9 + 1 + 3 + 8 + 1 = 22 years starting with 2.

<u>3. Total</u>

<u />

10 years BC and 22 years CE have exactly three digits the same: 10 + 22 = 32.

3 0
4 years ago
What would the answer to this question be?<br> A. 40°<br> B. 60°<br> C. 80°<br> D. 100°
Alex777 [14]

Answer:

D. 100°

Step-by-step explanation:

A straight line is 180°. Add 50° and 30° (which is 80°) and subtract the total from 180°.

50 + 30 = 80

180 - 80 = 100

8 0
3 years ago
Read 2 more answers
1. The table shows the probabilities of a response chocolate or vanilla when asking a child or adult. Use the formula for condit
Stels [109]
\begin{matrix}&\text{chocolate}&\text{vanilla}&\text{total}\\\text{children}&0.14&0.26&0.40\\\text{adults}&0.21&0.39&0.60\\\text{total}&0.35&0.65&1.00\end{matrix}

a. "Chocolate" and "Adults" (whatever those mean) will be independent as long as

P(\text{chocolate}\cap\text{adults})=P(\text{chocolate})\cdot P(\text{adults})

"Chocolate" has the marginal distribution given by the second column, with a total probability of P(\text{chocolate})=0.35. Similarly, "Adults" has the marginal distribution described by the third row, so that P(\text{adults})=0.60. Then

P(\text{chocolate})\cdot P(\text{adults})=0.35\cdot0.60=0.21

Meanwhile, the joint probability of "Chocolate" and "Adults" is given by the cell in the corresponding row/column, with P(\text{chocolate}\cap\text{adults})=0.21.

The probabilities match, so these events are indeed independent.

Parts (b) and (c) are checked similarly.

b. Yes;


P(\text{children})\cdot P(\text{chocolate})=0.40\cdot0.35=0.14
P(\text{children}\cap\text{chocolate})=0.14

c. Yes;

P(\text{vanilla})\cdot P(\text{children})=0.65\cdot0.40=0.26
P(\text{vanilla}\cap\text{children})=0.26
5 0
3 years ago
AABC is rotated 90° clockwise to create AA'B'C'. Which of the following transformations would also map B to B'?
photoshop1234 [79]

Answer:

the 3rd and 5th one

Step-by-step explanation:

4 0
3 years ago
What are the zero(s) of the function f(x) = the quantity of 5 x squared plus 25 x, all over x?
dimulka [17.4K]
The question is asking to calculate the zeros of the function f(x)=(5x^2+2x)/x, base on that and in my further calculation, the possible answer would be x=5. I hope you are satisfied with my answer and feel free to ask for more if you have questions and further clarifications 
5 0
3 years ago
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