Anyone by chance know how to answer this geometry question I need help so bad

Mathematics

1 answer:

NemiM [27]3 years ago

8 0

Answer:

x = -8 and BDC is 68 degrees.

Step-by-step explanation:

Combine -7x+12 and -8x+48 to get -15x+60. Since BDA is a straight angle put the above equation to get -15x+60=180. Subtract 60 from both sides to get -15x=120. Divide -15 both sides to get -8 as your x value. Plug in -8 to BDC, since both negatives are being multiplied, it would turn to a positive number which is 56, add 12 to get 68 as your final result for BDC.

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Given directed line segment AB determine point X on the graph such that X partions the segment A to B in a ratio of 1:4 and give

Viktor [21]

Answer:

The coordinates of point X that divides the line in 1:4 are: (3,8/5)

Step-by-step explanation:

When a point divides a line with coordinates (x1,y1) and (x2,y2) in ratio m:n,

the coordinates of point are given by:

$(x,y) = (\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n})$

Given points are:

(x1,y1) = (5,1)

(x2,y2) = (-5,4)

Putting the values in the formula

$X(x,y) = (\frac{(1)(-5)+(4)(5)}{1+4} , \frac{(1)(4)+(4)(1)}{1+4})\\= (\frac{-5+20}{5}, \frac{4+4}{5})\\=(\frac{15}{5}, \frac{8}{5})\\=(3,\frac{8}{5})$