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Marina CMI [18]
3 years ago
7

If arc XV = 68° and LYUV = 36°, what is the measure of arc VҮ? - 120° 130° 140° 150»

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
8 0

Answer:

140°

Step-by-step explanation:

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An open box is formed from a rectangular piece of cardboard, whose length is 3 inches more than it's width, by cutting 3 inch sq
Feliz [49]
3+264-2=265 inches

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4 0
3 years ago
a circle has a center (3,5) and a diameter AB. The coordinates of A are (-4,6). what are the coordinates of B?
Kruka [31]
Find the length of the radius.

r= \sqrt{(3-(-4))^2+(5-6)^2}
\\r =  \sqrt{7^2+(-1)^2}
\\r= \sqrt{50} 
\\  r=5 \sqrt{2}

Find the length of the diameter.

d = 2r = 2 × 5√2 = 10√2

Point B must lie on a line AC, where C is a center of a circle.
Find equation of line AC.
A(–4, 6), C(3, 5)

y-y_1= \frac{y_2-y_1}{x_2-x_1}(x-x_1)
\\y-6= \frac{5-6}{3-(-4)}  (x-(-4))
\\y-6=- \frac{1}{7} (x+4)
\\7y-42=-x-4
\\x+7y-38=0 

The distance from B(x, y) to C(3, 5) is 5√2.
\sqrt{(x-3)^2+(y-5)^2}=5 \sqrt{2} 
 \\(x-3)^2+(y-5)^2=(5 \sqrt{2})^2 
\\(x-3)^2+(y-5)^2=50

Solve system of equations.
x+7y-38=0
\\(x-3)^2+(y-5)^2=50
\\
\\x=38-7y
\\(38-7y-3)^2+(y-5)^2=50
\\(35-7y)^2+(y-5)^2=50
\\1225-490y+49y^2+y^2-10y+25-50=0
\\50y^2-500y+1200=0
\\y^2-10y+24=0
\\y^2-6y-4y+24=0
\\y(y-6)-4(y-6)=0 \\(y-6)(y-4)=0 \\y_1=6,y_2=4


x_1=38-7y_1=38-7 \times 6 = 38-42=-4
\\x_2=38-7y_2=38-7 \times 4 = 38-28=10


Point B could have coordinates
\\
\\(x_1,y_1)=(-4,6),(x_2,y_2)=(10,4)


But (–4, 6) are the coordinates of point A.
Therefore, point B has coordinates (10,4).
8 0
3 years ago
Solve the system of equations by any method.<br><br><br><br> 5x+9y =16<br> x+2y =4
Alisiya [41]

Answer:

The system of equations has one solution at (-4, 4).

Step-by-step explanation:

We are given the system of equations:

\displaystyle\left \{ {{5x+9y=16} \atop {x+2y=4}} \right.

We can use elimination to solve this system. We need to multiply the second equation by -5 so we can cancel out our x-terms.

-5\times(x+2y=4) \rightarrow -5x - 10y = -20

Therefore, our system now becomes:

\displaystyle\left \{ {{5x+9y=16} \atop {-5x-10y=-20}} \right.

Now, we can add these two equations together and solve for y.

\displaystyle(5x + 9y) + (-5x - 10y) = 0 - y\\\\16 + (-20) = -4\\\\-y = -4\\\\\frac{-y}{-1}=\frac{-4}{-1}\\\\y = 4

Now, we can substitute our value for y into one of the equations and solve for x.

x+2(4)=4\\\\x + 8 = 4\\\\x = -4

Therefore, our final solution is (-4, 4).

6 0
3 years ago
A manufacturer of a certain brand of appliance estimates that he can sell 5000 units a year at Php 900.00 each and that he can s
Radda [10]

First solve the return in each price per unit

Return = number units sold x price per unit

Return1 = 5000 units x Php 900

Return1 = php 4,500,000

Next is solve the other price per unit

Return2 = number units sold x price per unit

Return2 = (5000 + 1500 units0 x ( php 900 – 100)

Return2 = php 5,200,000

So the php 800 per unit will have greater return

8 0
3 years ago
Read 2 more answers
Plz whoever answers this question first correctly will get brainliest answer!!!!!
Basile [38]

Skew lines are not parallel and do not intersect.

Lines PQ and JN are neither of those so are skew.


Parallel lines are the same direction and do not intersect

Lines KJ and LM are parallel.

8 0
3 years ago
Read 2 more answers
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