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katrin [286]
3 years ago
15

Find the value of the unknown angle X.

Mathematics
1 answer:
kupik [55]3 years ago
7 0

Answer:

x = 130^{o}

Step-by-step explanation:

The given figure is a trapezium which is a quadrilateral with four sides.

But,

Sum of angles in a quadrilateral = (n - 2) x 180

where n is the number of sides.

For a quadrilateral, n = 4. So that,

Sum of angles in a quadrilateral = (4 - 2) x 180

                             = 2 x 180

                             = 360^{o}

The sum of angles in a quadrilateral is 360^{o}.

Thus,

158^{o} + 51^{o} + x^{o} + 21^{o} = 360^{o}

x^{o} + 230^{o} = 360^{o}

x^{o} = 360^{o} - 230^{o}

   = 130^{o}

The value of x is 130^{o}.

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Two of the vertices of a rectangle are (1, −6) and (−8, −6). If the rectangle has a perimeter of 26 units, what are the coordina
pantera1 [17]

Answer:(x_1,y_1)=(1,-2)

(x_2,y_2)=(-8,-2)

Step-by-step explanation:

Given

Co ordinates of vertices(1,-6) and (-8,-6)

When two points is given then Length of two points is given by

L=\sqrt{\left ( x_2-x_1\right )^2+\left ( y_2-y_1\right )^2}

L=\sqrt{\left ( 1-\left ( -8\right )\right )^2+\left ( -6+6\right )^2}

L=\sqrt{9^2}=9 units

Perimeter of rectangle is =26 units

Let the other side be x

thus

2\left ( x+9\right )=26

x+9=13

x=4 units

therefore to get the other two co ordinates

such that the length of that side is 4 units is

(x_1,y_1)=(1,-2)

(x_2,y_2)=(-8,-2)

Horizontal distance will remain same only vertical distance will change in given co ordinates to obtain the remaining two co ordinates

To verify the above two  distance between two points must be 13 units

6 0
3 years ago
Which statement describes the translation of y = −5(x+ 2)2 − 3 from standard position?
kolbaska11 [484]

The answer D i know it right


8 0
3 years ago
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20 earth pounds on the moon
tatiyna
20 earth pounds on the moon would equate to 3.31 pounds.
4 0
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Philip Morris wishes to determine if there is a difference between the proportion of women and proportion of men who smoke cigar
uranmaximum [27]

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the women and men who smoke respectively. The population proportion of women and men who smoke would be p1 and p2 respectively.

p1 - p2 = difference in the proportion of women and men who smoke.

The null hypothesis is

H0 : p1 = p2

p1 - p2 = 0

The alternative hypothesis is

Ha : p1 > p2

p1 - p2 > 0

it is a right tailed test

Sample proportion = x/n

Where

x represents number of success(number of complaints)

n represents number of samples

For women

x1 = 14

n1 = 110

p1 = 14/110 = 0.13

For men,

x2 = 7

n2 = 95

p2 = 7/95 = 0.07

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (14 + 7)/(110 + 95) = 0.1

1 - pc = 1 - 0.1 = 0.9

z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.13 - 0.07)/√(0.1)(0.9)(1/110 + 1/95)

z = 1.47

From the options given, the test statistic is

e. none of these is correct.

Since it is a right tailed test, we will look at the area to the right of z = 1.47. The p value would be

p value = 1 - 0.9292 = 0.078

Since alpha, 0.005 < than the p value, 0.078, then we would fail to reject the null hypothesis. Therefore, the data does not indicate that the proportion of women who smoke cigarettes is higher than the proportion of men who do at α=.005

8 0
3 years ago
5.1436 rounded to the nearest hundredth
tatiyna

Answer:

5.14

Step-by-step explanation:

ones.tenths hundredths

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