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BARSIC [14]
3 years ago
11

How would I solve this problem? We have to classify the angle pair and find the value of x.

Mathematics
1 answer:
Irina18 [472]3 years ago
7 0
Well the 2 angles are supplementary.
You would set up the equation like this:
(9x-7)+(7x-5)= 180
16x-12=180
+12
16x= 192
Divide both sides by 16
X= 12
Hope this helps
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an airport charges an additional fee for a piece of luggage that weighs more than 50 lbs write an inequality that shows the weig
nekit [7.7K]

Answer:

X ≤ 50

Step-by-step explanation:

Since the additional fee for a piece of luggage is only charged if it weighs more than 50 lbs, than Michael's suitcase weight must be less than, or equal to, 50 lbs.  Using 'X' as the weight of Michael's suitcase in pounds:

X ≤ 50

'X' is less than or equal to 50 lbs

4 0
3 years ago
Greg needs to buy plastic spoons. Brand A has a box of 25 spoons for $1.99 . Brand B has a box of 42 spoons for $3.89 . Find the
Helga [31]
To find the price per spoon of brand A, divide the cost by the amount of spoons:

1.99 / 25 = 0.0796

Repeat this process for brand B:

3.89 / 42 = 0.0926

Brand A, at $0.08 a unit, is the better buy of brands A and B.

Hope this helps.
8 0
3 years ago
Read 2 more answers
Is 4.7 a rational number?
PIT_PIT [208]

Answer:

Yes.

Step-by-step explanation:

4.7 is able to be written as a fraction, being a rational number.

Hope it helps!!

Let me know if I'm wrong...

7 0
3 years ago
Read 2 more answers
4. Find the standard from of the equation of a hyperbola whose foci are (-1,2), (5,2) and its vertices are end points of the dia
Ad libitum [116K]

The <em>standard</em> form of the equation of the hyperbola that satisfies all conditions is (x - 2)²/4 - (y - 2)²/5 = 1 .

<h3>How to find the standard equation of a hyperbola</h3>

In this problem we must determine the equation of the hyperbola in its <em>standard</em> form from the coordinates of the foci and a <em>general</em> equation of a circle. Based on the location of the foci, we see that the axis of symmetry of the hyperbola is parallel to the x-axis. Besides, the center of the hyperbola is the midpoint of the line segment with the foci as endpoints:

(h, k) = 0.5 · (- 1, 2) + 0.5 · (5, 2)

(h, k) = (2, 2)

To determine whether it is possible that the vertices are endpoints of the diameter of the circle, we proceed to modify the <em>general</em> equation of the circle into its <em>standard</em> form.

If the vertices of the hyperbola are endpoints of the diameter of the circle, then the center of the circle must be the midpoint of the line segment. By algebra we find that:

x² + y² - 4 · x - 4 · y + 4= 0​

(x² - 4 · x + 4) + (y² - 4 · y + 4) = 4

(x - 2)² + (y - 2)² = 2²

The center of the circle is the midpoint of the line segment. Now we proceed to determine the vertices of the hyperbola:

V₁(x, y) = (0, 2), V₂(x, y) = (4, 2)

And the distance from the center to any of the vertices is 2 (<em>semi-major</em> distance, a) and the semi-minor distance is:

b = √(c² - a²)

b = √(3² - 2²)

b = √5

Therefore, the <em>standard</em> form of the equation of the hyperbola that satisfies all conditions is (x - 2)²/4 - (y - 2)²/5 = 1 .

To learn more on hyperbolae: brainly.com/question/27799190

#SPJ1

5 0
1 year ago
Which parabola has the graph shown?<br><br> I think the answer is C. however, I'm not 100% sure.
NemiM [27]

x=m(y-k)^2+h\\\\(h,\ k)-the\ vertex

We have the vertex (-4, -1), therefore we have:

x=(y-(-1))^2-4\ \ \ |+4\\\\(x+4)=(y+1)^2

7 0
3 years ago
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