Answer:
x meters= 35
5x meters= 175
6x - 8 = 202
Step-by-step explanation:
x + 5x + (6x - 8)= 412
12x - 8= 412
12x = 412 + 8
12x = 420
x= 35
5x = 35× 5
= 175
6x - 8= 6(35) - 8
= 210 - 8
= 202
The answer is b)35 because those angles are supplementary which means their sum is 180.
so 180+145 = 35
Answer:
$38-
Step-by-step explanation:
15% = $57
57 ÷ 3 = 19%
15 ÷ 3 = 5
100 ÷ 5 = 20
19% × 20 = $380
Answer:
The equation of a line that runs through (-6,2) and is parallel to a line with a slope of (-1/4) is x + 4y - 2 = 0
Step-by-step explanation:
Slope of the parallel equation is m 1 = (-1/4)
<em>If the two liner are parallel the, slope of both lines are equal.</em>
⇒The slope of the equation of line = m2 = m1 = -(1/4)
The point (x0, y0) = (-6,2)
Now, by THE POINT SLOPE FORMULA: The equation of a line is given as
( y - y0) = m (x -x0)
Now, here the equation of line is given as:

or, 4y - 8 + x + 6 = 0
or, x + 4y - 2 = 0
Hence, the required line equation is x + 4y - 2 = 0
Any odd multiple of 3 would be the counterexample of the given conjecture.
That is 3(2n - 1), for any natural number n, will be divisible by 3 but not divisible by 6 as 2 is not a factor.
<u>Examples:</u>
3(3) = 9
3(5) = 15
3(7) = 21 are some examples.