8x-9y=19
4x+y=-7
Multiply all terms of the 2nd by (9)===> 36x + 9y= 63
add (36x 9y= 63) to the 1st ===> 44x+0y = -44 ===> x=-1
replace x by this value in any of the equation & you'll get y=-3
Answer:
x=5
Step-by-step explanation:
19x and its vertical angle are equal. Lets call that angle y
<y and 17x are same side interior angles. Same side interior angles add to 180 if the lines are parallel. Since l is parallel to m.
<y + 17x=180
We know that y and 19x are equal since they are vertical angles, so we can substitute this in.
19x+ 17x = 180
Combine like terms.
36x = 180
Divide each side by 36
36x/36 = 180/36
x = 5
Negative slope and shifted 5 down on the y axis with a root at x=-5
Answer:
372 inches
Step-by-step explanation:
(1 yd = 36 in., and 1 ft = 12 in.)
1 yard stick = 24 in
This means , height of 36 inches casts a shadow of 24 Inches
At the same time a telephone pole casts a shadow of 20 ft 8 in
1 ft = 12 in
Hence,
Convey 20ft to inches
1 ft = 12 in
20 ft = 20 × 12 inches
= 240 inches
Total shadow of the telephone pole = 240in + 8 in = 248 = 248 inches
Hence,
Height/Length of shadow = Height/Length of shadow
36/24= x /248
Cross Multiply
24 × x = 36× 248
x = 36 × 248/24
x = 372 inches
The height of the telephone pole, to the nearest inch is 372 inches
