1. angle 1 = 50 degrees [ Reason is Given]
2. angle 1 and angle 5 are corresponding angles [Given]
3..Therefore angle1=angle 5 [ Corresponding angles are =]
4..Therefore angle 5 = 50 degrees [= angles have same measure]
The above assumes that we are talking about corresponding angles of congruent or similar polygons or corresponding angles forme when a transversal intersects two parallel lines
Answer:
For the given sentence "five more than three times the number is one-third more than the sum of the number and itself" the equation representation is .
Step-by-step explanation:
Let the number be n,
then three times the number = 3n
then five more than three times the number = 5+3n
also, the sum of the number and itself = n + n
Given : five more than three times the number is one-third more than the sum of the number and itself.
According to question,
Thus, for the given sentence "five more than three times the number is one-third more than the sum of the number and itself" the equation representation is .
Answer:
rational
Step-by-step explanation:
<p and <s; <q and <r is the answer
Answer:
D. y = 2x - 2
Step-by-step explanation:
1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:
A line placed in slope-intercept form is represented by the formula . The , or the coefficient of the x-term, represents the slope. Thus, the slope of this line is 2.
2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.
We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.
Use the point-slope formula and substitute values for , , and . Since represents the slope of the line, substitute 2 in its place. Since and represent the x and y values of a point the line intersects, substitute the x and y values of (4,6) into the formula as well. Then, with the resulting equation, isolate y like before to find which option is correct:
So, option D is correct.