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3 years ago

Use the relationships between the angles to find the value of x (please answer)

Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

4 0

Step-by-step explanation:

$x + 15 \degree = 102 \degree \: \\ (corresponding \: \angle s) \\ \therefore \: x = 102 \degree - 15 \degree \\ \huge \red { \boxed{\therefore \: x = 87 \degree}}$

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Write an equation for an ellipse centered at the origin, which has foci at (\pm\sqrt{8},0)(± 8 ,0)(, plus minus, square root o

Alchen [17]

Answer:

The equation of ellipse centered at the origin

$\frac{x^2}{18} +\frac{y^2}{10} =1$

Step-by-step explanation:

given the foci of ellipse (±√8,0) and c0-vertices are (0,±√10)

The foci are (-C,0) and (C ,0)

Given data (±√8,0)

the focus has x-coordinates so the focus is lie on x- axis.

The major axis also lie on x-axis

The minor axis lies on y-axis so c0-vertices are (0,±√10)

given focus C = ae = √8

Given co-vertices ( minor axis) (0,±b) = (0,±√10)

b= √10

The relation between the focus and semi major axes and semi minor axes are $c^2=a^2-b^2$

$a^{2} = c^{2} +b^{2}$

$a^{2} = (\sqrt{8} )^{2} +(\sqrt{10} )^{2}$

$a^{2} =18$

$a=\sqrt{18}$

The equation of ellipse formula

$\frac{x^2}{a^2} +\frac{y^2}{b^2} =1$

we know that $a=\sqrt{18} and b=\sqrt{10}$

Final answer:-

The equation of ellipse centered at the origin

$\frac{x^2}{18} +\frac{y^2}{10} =1$

8 0

3 years ago

Read 2 more answers

Complete the equation of the line through (-8-2) and (-4-6)

Kisachek [45]

Answer:

Step-by-step explanation:

since you are given two points use the point- slope formula and the slope formula

y-y1 = m( x -x1) and m = y2 -y1 / x2 - x1

find the slope m, 1st

p1 = (x1,y1) given (-8,-2)

p2 = (x2,y2) given (-4,-6)

m = -6-(-2) / -4-(-8)

m = -6+2 / -4+8

m = -4 / 4

m = -1 :)

now use the slope you just found and the point-slope with either given point.. pick one.. which ever seems easier... they seem about the same to me

y - (-8) = -1(x-(-2))

y+8 = -1(x+2)

y+8 = -x-2

y = -x-2-8

y= -x-10

and your done :)

4 0

3 years ago

The selling price for a classic speedboat is $16,000, which is $500 more than two times its original price. What was the origina

lbvjy [14]

$7,750 is the answer :)

3 0

3 years ago

The variable y has a proportional relationship with

Nana76 [90]

Answer:

Step-by-step explanation:

Constant of proportionality, k, is the ratio of the quantity of variable y to the quantity of variable x.

Using a point on the line, (4, 44),

Constant of proportionality, k = $\frac{y}{x} = \frac{44}{4} = 11$ .

Constant of proportionality of the graph is 11.

3 0

2 years ago

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Lucia hit a golf ball 240 feet. How many yards did she hit the ball?

Svet_ta [14]

Answer:

80 yards

Step-by-step explanation:

There are 3 feet in a yard, therefore you take 240 feet divided by 3 to get how many yards there are, and in your case it is 80 yards.

7 0

3 years ago