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2 years ago

What is the value of x

Mathematics

2 answers:

Kazeer [188]2 years ago

8 0

Answer:

$\boxed {\boxed {\sf x=45}}$

Step-by-step explanation:

The 2 angles are on a straight line, so they are supplementary and add to 180 degrees.

Set up an equation.

$(x+7)+(4x-52)= 180$

Combine like terms on the left side of the equation. The terms with the variable x and the constants can be added.

$(x+4x) + (7-52) = 180$

$5x-45=180$

We are solving for x, so we must isolate the variable. 45 is being subtracted. The inverse operation of subtraction is addition. Add 45 to both sides.

$5x-45+45=180+45$

$5x=180+45$

$5x=225$

x is being multiplied by 5. The inverse operation of multiplication is division. Divide both sides by 5.

$\frac{5x}{5}= \frac{225}{5}$

$x= \frac{225}{5}$

$x=45$

The value of x is <u>45.</u>

Mashcka [7]2 years ago

4 0

Answer:

Step-by-step explanation:

Together, these two angles form a flat line which is 180 degrees

(x + 7) + (4x - 52) = 180

5x - 45 = 180

+ 45 + 45

5x = 225

x = 45

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for positive acute angles A and B it is known that cos A = 40/41 and tan B = 5/12. find the value of sin(A-B) in simplest form

Oxana [17]

Answer:

33/16 hope this helps

Step-by-step explanation:

3 0

2 years ago

Need help ASAP!!!!!!

Mnenie [13.5K]

Answer:

Mean = 2.95

Median = 3

Step-by-step explanation:

The mean of the number of visits of 40 adults to the gym is

$\dfrac{0\cdot 4+1\cdot 3+2\cdot 12+3\cdot 5+4\cdot 8+5\cdot 5+6\cdot 2+7\cdot 1}{40}=\\ \\=\dfrac{3+24+15+32+25+12+7}{40}=\dfrac{118}{40}=2.95$

The median of the data is the average number between 20th and 21th terms (because 40 is even number, so the middle term is the average between two middle terms).

20th term = 3 visits

21th term = 3 visits

Hence, median is 3 visits

6 0

3 years ago

a lady left from Nakuru to Mombasa she drove for 1 hour 45 min she toke a 15 min break then she drives for another 1 hour 20 min

BabaBlast [244]

drove 1h 45 min

break 15 min

drives 1h 20 min

1h 45min+1h 20 min+15min=3h 20min

3h 20 min=3 1/3h

3 1/3h*75 km/hr=<u>250 km</u>

7 0

3 years ago

The amount of time the husband and the wife spend on house work is measured for 15 women and their 15 husbands. For the wives th

dolphi86 [110]

Answer:

The value of the test statistic is z = -0.877.

Step-by-step explanation:

Testing the difference in mean time spent on housework between husbands and wives.

At the null hypothesis, we test if there is no difference, that is, the subtraction of the means is 0:

$H_0: \mu_H - \mu_W = 0$

At the alternate hypothesis, we test if there is a difference, that is, the subtraction of the means is different from 0.

$H_1: \mu_H - \mu_W \neq 0$

The test statistic is:

$z = \frac{X - \mu}{s}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis:

This means that $\mu = 0$

For the wives the mean was 7 hours/week and for the husbands the mean was 4.5 hours/week. The standard deviation of the differences in time spent on house work was 2.85.

This means that $X = 4.5 - 7 = -2.5, s = 2.85$