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3 years ago

Can someone please help me?What is the measure of angle Z?

Mathematics

2 answers:

Hoochie [10]3 years ago

7 0

The angle equals 56 since angle 124 and angle x form a straight angle that equals 180. Z and X are vertical angles meaning they equal the same thing. You would subtract 124 from 180.

nasty-shy [4]3 years ago

4 0

Answer:

z = 56 degrees

Step-by-step explanation:

y = 124 because y is adjacent to 124 degrees

y + z = 180

180 - 124 = 56

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An earth satellite remains in orbit at a distance of 11550 km from the center of the earth. what speed would it have to maintain

marishachu [46]

11,550 km has to be changed to 11,550,000 meters

G · m · t² = 4 · π² · r³ we can change that to
t² = (4 · π² · r³) / (G · m )
t^2 = 4*PI^2*r^3 / (G*m)
t^2 = 4*PI^2*(11,550,000)^3 / 6.67*10^-11*5.98*10^24kg
t^2 = 6.083*10^22 / 3.99 * 10^14
t^2 = 152,500,000
t = 12,350 seconds
and its orbital distance it travels is 11,550 * 2*PI = 70,050 kilometers

Therefore, it is traveling at 70,050 km / 12,350 second which equals
5.67 km per second which is 5,670 meters per second.

Source:
http://www.1728.org/kepler3a.htm

4 0

4 years ago

F(x)=−6x+7, evaluate f(x+2)

lakkis [162]

Answer:

f(x+2) = - 6x - 5

Step-by-step explanation:

As we have f(x) =- 6x + 7, then we also have f(x+2) = - 6(x+2) + 7 = - 6x - 12 + 7 = - 6x - 5.

6 0

3 years ago

Write an equation of the line and interpret the slope

Bess [88]

Answer:

Step-by-step explanation:

Slope of this line will be= m= (600-200)/(1-5)

m = 400/-4 = -100

Eq of line will be:

(y-y1)=m(x-x1)

y-200=-100(x-5)

y-200+100x-500=0

100x+y-700 = 0

To write equation in slope-intercept form

y=mx+c

just seperate "y"

y=-100x+700

4 0

3 years ago

Read 2 more answers

Solve the following equation

NISA [10]

Answer:

n = -13

Step-by-step explanation:

38 = -2n + 12

Subtracting 12 from both sides:

==> 38 - 12 = -2n + 12 - 12

==> 26 = -2n

multiplying both sides by (-1):

==> -26 = 2n

dividing both sides by 2:

==> -13 = n

3 0

3 years ago

Read 2 more answers

Determine if line KM and line ST are ॥, ⊥, or neither: K(-5,1) , M(-2,-8), and S(12,14), T(20,-10) Parallel Perpendicular or nei

Black_prince [1.1K]

Answer:

The lines are parallel i.e. KM || ST

Step-by-step explanation:

Given

K(-5,1) , M(-2,-8), and S(12,14), T(20,-10)

In order to find if the lines are parallel, perpendicular or neither slope will be used.

The slope of any line which passes from two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula

$m = \frac{y_2-y_1}{x_2-x_1}$

If two lines are parallel their slope is equal. If two lines are perpendicular the product of their slope is equal to -1

So, first slopes of both lines will be calculated.

Let m1 be the slope of KM

and

m2 be the slope of ST

In case of KM:

$(x_1,y_1) = (-5,1)\\(x_2,y_2) = (-2,-8)$

Putting the values in the formula for slope

$m_1 = \frac{-8-1}{-2-(-5)}\\m_1 = \frac{-9}{-2+5}\\= \frac{-9}{3}\\= -3$

In case of ST:

$(x_1,y_1) = (12,14)\\(x_2,y_2) = (20,-10)$

Putting the values in the formula for slope

$m_2 = \frac{-10-14}{20-12}\\= \frac{-24}{8}\\= -3$

As we can see that slope of both lines KM and ST are equal

i.e. m1 = m2 = -3

Hence,

The lines are parallel i.e. KM || ST

6 0

3 years ago

Can someone please help me?What is the measure of angle Z?​

Can someone please help me?What is the measure of angle Z?