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3 years ago

Given: 1 and 2 are supplementary angles Prove: l || m

Mathematics

1 answer:

alexandr1967 [171]3 years ago

8 0

Is there any way you could provide more information, a picture or something could be really helpful.

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3x-6y=15<br> -3x-9y=-30<br><br> Please help!! Its due in 30 minutes!!

olchik [2.2K]

Step-by-step explanation:

Refer to the attachment.

I hope it helps:)

3 0

2 years ago

Circle O, with center (x, y) passes through the points A(0, 0), B(-3, 0), and C(1, 2). Find the coordinates of the center of the

KonstantinChe [14]

Answer:

The center of the circle is

$(-\frac{3}{2},2)$

Step-by-step explanation:

Let the equation of the circle be

$x^2+y^2+2ax+2by+c=0$ , where (-a,-b) is the center of this circle.

The points lying the circle must satisfy the equation of this circle.

A(0,0)

We substitute this point to get;

$0^2+0^2+2a(0)+2b(0)+c=0$

$\implies c=0$

B(-3,0)

$(-3)^2+0^2+2a(-3)+2b(0)+c=0$

$\implies 9+0-6a+0+c=0$

$\implies -6a+c=-9$

But c=0

$\implies -6a=-9$

$\implies a=\frac{3}{2}$

C(1,2)

$1^2+2^2+2a(1)+2b(2)+c=0$

$1+4+2a+4b+c=0$

$2a+4b+c=-5$

Put the value of 'a' and 'c' to find 'b'

$2(\frac{3}{2})+4b+0=-5$

$3+4b+0=-5$

$4b=-5-3$

$4b=-8$

b=-2

Hence the center of the circle is

$(-\frac{3}{2},2)$

8 0

2 years ago

If given a radius of 6mm, what is the diameter?

Leviafan [203]

Answer:

If the radius is 6mm, the diameter is 12mm.

If the diameter is 22 ft, the radius is 11 ft.

Step-by-step explanation:

1st one) When you try to find the diameter of any circle, and you already have the radius, you need to multiply it by two (double it)

6 x 2 = 12mm

2nd one) Then to do the opposite, you need to divide the diameter by 2.

22/2 = 11 ft

Hope this helped :)

5 0

2 years ago

A cabinet maker used 0.75 gallons of varnish on 10 cabinet doors. At this rate, how many gallons of varnish are required for 25

Aneli [31]

Answer: 1.875 Gallons

Step-by-step explanation

25/10= 2.5

.75 x 2.5 = 1.875

Hope it helps!

5 0

2 years ago

Read 2 more answers

Amy ran 2/3 of a marathon. Beth ran 5/6 of a marathon. Who ran farther ? How much farther?

Ymorist [56]

2/3 is equal to 4/6.

So, Beth ran further by 1/6 of the marathon

3 0

2 years ago