2 years ago

Two angles form a straight angle one angle measures 77 degrees what is the measure of the other angle

1 answer:

4 0

The sum of a straight angle is 180°
So 77+x=180
Subtract 77 from both sides and the equation is
x=77

The measure of the other angle is 77°

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The center of a hyperbola is (−2,4) , and one vertex is (−2,7) . The slope of one of the asymptotes is 1/2 .

maxonik [38]

Answer:

<h2>The equation is $\frac{(y - 4)^{2} }{9 } - \frac{(x + 2)^{2} }{36 } = 1$ .</h2>

Step-by-step explanation:

The equation of a hyperbola is represented by $\frac{(y - k)^{2} }{b^{2} } - \frac{(x - h)^{2} }{a^{2} } = 1$ , where (h, k) is the center of the hyperbola.

As per the given condition, h = -2 and k = 4.

Thus, the equation becomes $\frac{(y - 4)^{2} }{b^{2} } - \frac{(x + 2)^{2} }{a^{2} } = 1$ .

One vertex is (-2, 7).

Hence, putting x = -2 and y = 7, we get $b^{2} = 9$ .

The slope of the asymptote is $\frac{b}{a}$ .

Hence, $\frac{b^{2} }{a^{2} } = \frac{1}{4} \\a^{2} = 36$ .

Thus, the equation is $\frac{(y - 4)^{2} }{9 } - \frac{(x + 2)^{2} }{36 } = 1$ .

7 0

2 years ago

Find the mean, median and mode of the weights of the people shown. 105kg 53kg 76kg 91kg 120kg 61kg 55kg 98kg 61kg

Yuliya22 [10]

First, you need to put them in order
53kg, 55kg, 61kg, 61kg, 76kg, 91kg, 98kg, 105kg, 120kg

For mean, you add them all up and divide by the amount of numbers (9)
720/9 = 80

For median, you find the middle number (76kg)

For mode, you find the number that appears the most (61kg)

Mean: 80
Median: 76
Mode: 61

5 0

2 years ago

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An oil company claims that the sulfur content of its diesel fuel is at most .15 percent. To check this claim, the sulfur content

GarryVolchara [31]

Answer:

No, it would have to have been greater than .192 to invalidate the claim.

Step-by-step explanation:

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2 years ago

Solve for z <br> az+17=−4z−b

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