When two lines are crossed by another line, the angles in matching corners are called corresponding angles. When the two lines are parallel, the corresponding angles are equal.

Here in this case, the two lines are "AB" and "CD", and both are parallel and are crossed by the line; therefore, the corresponding angles will be the same.

Since the first corresponding angle is 72°, the second angle x will be 72° as well. The correct answer is: x = 72° Option (D).

8 0

2 years ago

Read 2 more answers

Points p(3,0) and q(-3,4) are on the line ax+by=6 find a and b

FromTheMoon [43]

Answer:

to need interdependence in

the country

Step-by-step explanation:

5 0

2 years ago

A)-1 B) 1 C) 2 D) -1/2

AURORKA [14]

Answer:

I believe it is C but then again I'm not sure good luck though

7 0

2 years ago

a hiking path is represented by the equation y=3/8x on a coordinate map. The county would like to create a parallel path for bik

stepladder [879]

Answer:

The equation of the bike path on a coordinate map is represented by $y = \frac{3}{8}\cdot x +1$ .

Step-by-step explanation:

From Analytical Geometry, we know that resultant parallel line is a translated version of parent line. Two lines are parallel to each other when they share the same slope. The resultant line can be construted from slope-point form:

$y-y_{o} = m_{\parallel}\cdot (x-x_{o})$

Where:

$x_{o}$ , $y_{o}$ - Components of known point, dimensionless.

$m_{\parallel}$ - Slope of the parallel line, dimensionless.

In addition, a line has also this form:

$y = m\cdot x + b$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$m$ - Slope, dimensionless.

$b$ - y-Intercept, dimensionless.

Given that parent function is $y = \frac{3}{8}\cdot x$ , the slope of the resulting line is $m_{\parallel} = \frac{3}{8}$ . Now, if $x_{o} = 16$ and $y_{o} = 7$ , we obtain the equation of the line:

$y-7 = \frac{3}{8}\cdot (x-16)$

$y = \frac{3}{8}\cdot x +1$

The equation of the bike path on a coordinate map is represented by $y = \frac{3}{8}\cdot x +1$ .

3 0

3 years ago