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Stels [109]
3 years ago
9

Angle A measures (2x + 23)°. Angle B is supplementary to angle A and measures (4x + 46)°. Write and solve an equation to find th

e value of x.
Mathematics
2 answers:
sladkih [1.3K]3 years ago
8 0
2x+23+4x+46=180
6x+69=180
6x=180-69
6x=111
x=111/6
x=18.5
KatRina [158]3 years ago
4 0
Supplementary angles add up to 180 degrees.

2x + 23 + 4x + 46 = 180

Combine like terms:

2x + 4x = 6x
23 + 46 = 69

6x + 69 = 180

Subtract 69 to both sides:

6x = 111

Divide 6 to both sides:

x = 18.5
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20 friends compared the number of text messages they sent in a day. The results are represented in the table below:
pishuonlain [190]

Answer:

4

Step-by-step explanation:

Add up all the numbers in the frequency table then whatever your mean average is divide that by 5 because there are 5 numbers.

2+4+5+8+1

20/5=4

6 0
1 year ago
Consider two populations of coins, one of pennies and one of quarters. A random sample of 25 pennies was selected, and the mean
Alexus [3.1K]

Answer:

No, the conditions for normality have not been met because the sample size for the quarters is not large enough and no information is given about the distributions of the populations.

Step-by-step explanation:

"The Kolmogorov-Smirnov test (K-S) and Shapiro-Wilk (S-W) test are designed to test normality by comparing your data to a normal distribution with the same mean and standard deviation of your sample. If the test is NOT significant, then the data are normal, so any value above .05 indicates normality"

5 0
3 years ago
Read 2 more answers
How many repeating digits are in the smallest group of repeating digits in the decimal equivalent of the fraction shown? 745/999
Mazyrski [523]

Answer: C. 3

745/999=.745....

I hope this is good enough:

8 0
3 years ago
Read 2 more answers
Josh's team scored 40 points at the game. Josh scored 15% of the team points. How many points did Josh score.
marissa [1.9K]

Answer:

15/100x 40= 6

Step-by-step explanation:

7 0
3 years ago
6 men and 8 women are going to be assigned to a specific row of seats in a theater. If the 14 tickets for the numbered seats are
Sedbober [7]
If exactly one woman is to sit in one of the first 5 seats, then it means that 4 men completes the first 5 seats.
No of ways 4 men can be selected from 6 men = 6C4 = 15
No of ways 4 men can sit on 5 seats = 5P4 = 120
No of ways 1 woman can be selected fom 8 women = 8C1 = 8
No of ways 1 woman can sit on 5 seats = 5P1 = 5

No of ways <span>that exactly one woman is in one of the first 5 seats = 15 * 120 * 8 * 5 = 72,000

No of ways 14 people can be arranged in 14 seats = 14!

Probability that exactly one woman is in one of the first 5 seats = 72,000 / 14! = 0.0000008259 = 0.000083%
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8 0
3 years ago
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