Answer:
x = 14
Angle B = 121°
Angle C is 59°
Step-by-step explanation:
First we'll find x, then we'll find Angle B (by substituting in x), then we'll find Angle C (bc Angle B and C are supplementary--that us, they add up to 180°)
10x-19 = 7x+23 subtract 7x
3x-19 = 23 add 19
3x = 42 divide by 3
x = 14
Angle B is 10x-19, and if x=14, then its 10(14)-19
Angle B is 140-19
which is 121°
Angle B = 121°
Angle B and Angle C add up to 180°
121° + c = 180°
c = 180-121
Angle C is 59°
Answer:
<em>x - 3y = 6</em>
Step-by-step explanation:
<u>Equation of the line in intercept form</u>
The intercept form of the equation of a line is:
Where:
a = x-intercept
b = y-intercept
The standard form of a line is:
Ax + By = C
The given line has a=6 and b=-2, thus:
Multiplying by 6:
x - 3y = 6
This is the required standard form of the line.
Thus, the standard form of the line is:
x - 3y = 6
Answer:
s = 17 units
Step-by-step explanation:
The Pythagorean theorem applies:
8^2 + 15^2 = s^2
64 + 225 = s^2
289 = s^2
√289 = 17 = s
The value of s is 17 units.
Lines are perpendicular if the slope of one is the negative reciprocal of the other. In this case the slopes are -8/3 and 8/3, so while negative they are not reciprocal. So no, the two lines intersect but are not perpendicular.
