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Sedaia [141]
3 years ago
6

Someone plz answer.....

Mathematics
1 answer:
BabaBlast [244]3 years ago
6 0

Answer:

50°

Step-by-step explanation:

angle 5 = angle 4 ( Alternative Interior Angles are equal )

But angle 3 & angle 4 are linear pairs. So,

angle 3 + angle 4 = 180°

=> angle 3 + angle 5 = 180° (angle 5 = angle 4)

=> angle 3 + 130° = 180°

=> angle 3 = 180° - 130° = 50°

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Assign two variables for each problem, and write the equations. Do not solve.
NemiM [27]
Price of boots is represented as x, price of tennis shoes is represented as y. x-y=44.38 x+y=196.12 Isolate x. (Or y, if you wanted to) x=y+44.38 x=196.12-y Set them equal to each other. y+44.38=196.12-y Solve for y. Then plug it in to either of the two original equations to find x. x=120.24 y=75.86 Note: This is assuming that the boots are more expensive than the tennis shoes. If the tennis shoes are more expensive than the boots, then the prices would be switched. I didn't find this clear in your question.
6 0
3 years ago
Write the equation of a line passing through (6,-2) and perpendicular to -2x + 3y= -6
____ [38]
Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.
On this case they give you the equation of a line and a point, and is asked to find the equation of a line that is perpendicular to the given one, and that passes through this point.


-2x+3y=-6                 Add 2x in both sides
3y=2x-6                    Divide by 3 in both sides to isolate y
y=2/3x-6/3


The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.

y=mx+b                 Substitute the given point and the previous slope found
-2=(-3/2)(6)+b       Combine like terms
-2=-9+b                 Add 9 in both sides to isolate b
7=b

The equation that represents the line perpendicular to -2x+3y=-6 and that passes through the point (6,-2), is y=-3/2x+7.


4 0
3 years ago
A tin of baked beans has a base area of 120 cm². Calculate the volume of the cylinder with a height of 10cm.
Vitek1552 [10]

Answer:

1,000cm^{3\\}

Step-by-step explanation:

1. Volume= length x width x height

2.  10 x 10= 100

3. 100 x 10= 1000

So the volume of the cylinder is 1,000 cm^{3\\}

7 0
3 years ago
Suppose that 16% of the population of the U.S. is left-handed. If a random sample of 170 people from the U.S. is chosen, approxi
Shalnov [3]

Answer:

0.6064 = 60.64% probability that fewer than 29 are left-handed.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

16% of the population of the U.S. is left-handed.

This means that p = 0.16

Sample of 170 people

This means that n = 170

Mean and standard deviation:

\mu = E(X) = np = 170*0.16 = 27.2

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{170*0.16*0.84} = 4.78

Probability that fewer than 29 are left-handed.

Using continuity correction, this is P(X < 29 - 0.5) = P(X < 28.5), which is the pvalue of Z when X = 28.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{28.5 - 27.2}{4.78}

Z = 0.27

Z = 0.27 has a pvalue of 0.6064

0.6064 = 60.64% probability that fewer than 29 are left-handed.

6 0
3 years ago
Use the discriminant to determine the number of real solutions of the equation.<br> x^2 = -6x - 10
HACTEHA [7]

Answer:

No real solutions.

Step-by-step explanation:

x² + 6x + 10 = 0

a = 1

b = 6

c = 10

D = b² - 4ac = 6² - 4*1*10 = 36 - 40 = - 4

- 4 < 0,

so this equation has no real solutions.

8 0
3 years ago
Read 2 more answers
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